Step 1: Calculate Rate
Option 1
3 sec
3 sec
Option 1
Count the # of R waves in a 6 second
rhythm strip, then multiply by 10.
Reminder: all rhythm strips in the Modules
are 6 seconds in length.
Interpretation?
9 x 10 = 90 bpm
Step 2: Determine regularity
Look at the R
-
R distances (using a caliper or
R R
Look at the R
-
R distances (using a caliper or
markings on a pen or paper).
Regular (are they equidistant apart)?
Occasionally irregular? Regularly irregular?
Irregularly irregular?
Interpretation?
Regular
Step 3: Assess the P waves
Are there P waves?
Are there P waves?
Do the P waves all look alike?
Do the P waves occur at a regular rate?
Is there one P wave before each QRS?
Interpretation?
Normal P waves with 1 P
wave for every QRS
Rhythm Summary
Rate
90
-
95 bpm
Rate
90
-
95 bpm
Regularity regular
P waves normal
PR interval 0.12 s
QRS duration 0.08 s
Interpretation?
Normal Sinus Rhythm
Normal Sinus Rhythm (NSR)
Etiology:
the electrical impulse is formed
in the SA node and conducted normally. in the SA node and conducted normally.
This is the normal rhythm of the heart;
other rhythms that do not conduct via
the typical pathway are called
arrhythmias.
NSR Parameters
Rate
60 -100 bpm
Regularity
regular
P waves
normal
PR interval
0.12 -0.20 s
QRS duration
0.04 -0.12 s
Any deviation fromabove is sinus tachycardia,
sinusbradycardiaoranarrhythmia
ECG Rhythm Interpretation
Module III
Normal Sinus Rhythm
Course Objectives
To recognize the normal rhythm of the
heart -Normal Sinus Rhythm.
To recognize the 13 most common
To recognize the 13 most common rhythm disturbances.
To recognize an acute myocardial
infarction on a 12-lead ECG.
Learning Modules
ECG Basics
How to Analyze a Rhythm
Normal Sinus Rhythm
Heart Arrhythmias
Diagnosing a Myocardial Infarction
Advanced 12-Lead Interpretation
Normal Sinus Rhythm (NSR)
Etiology:
the electrical impulse is formed
in the SA node and conducted normally. in the SA node and conducted normally.
This is the normal rhythm of the heart;
other rhythms that do not conduct via
the typical pathway are called
arrhythmias.
NSR Parameters
Rate
60 -100 bpm
Regularity
regular
P waves
normal
PR interval
0.12 -0.20 s
QRS duration
0.04 -0.12 s
Any deviation from above is sinus tachycardia,
sinus bradycardiaor an arrhythmia
Arrhythmia Formation
Arrhythmias can arise from problems in
the:
Sinus node
Sinus node
Atrial cells
AV junction
Ventricular cells
SA Node Problems
The SA Node can:
fire too slow
fire too fast
Sinus Bradycardia Sinus Tachycardia
fire too fast
Sinus Tachycardia
Sinus Tachycardia may be an appropriate
response to stress.
Atrial Cell Problems
Atrial cells can:
fire occasionally from a focus
Premature Atrial
Contractions (PACs)
from a focus
fire continuously
due to a looping
re-entrant circuit
Contractions (PACs)
Atrial Flutter
Teaching Moment
A re-entrant
pathway occurs
when an impulse when an impulse loops and results
in self-
perpetuating
impulse
formation.
Atrial Cell Problems
Atrial cells can also:
fire continuously
from multiple foci
Atrial Fibrillation
from multiple foci or
fire continuously
due to multiple
micro re-entrant
wavelets
Atrial Fibrillation
AV Junctional Problems
The AV junction can:
fire continuously due to a looping
Paroxysmal
Supraventricular
due to a looping re-entrant circuit
block impulses
coming from the
SA Node
Supraventricular Tachycardia
AV Junctional Blocks
Ventricular Cell Problems
Ventricular cells can:
fire occasionally from 1 or more foci
Premature Ventricular
Contractions (PVCs)
from 1 or more foci
fire continuously
from multiple foci
fire continuously
due to a looping
re-entrant circuit
Contractions (PVCs)
Ventricular Fibrillation
Ventricular Tachycardia
ECG Rhythm Interpretation
Module IV a
Rhythm #1
30 bpm
Rate?
Regularity?
regular
Regularity?
regular normal
0.10 s
P waves?
PR interval?
0.12 s
QRS duration?
Interpretation?
Sinus Bradycardia
Sinus Bradycardia
Etiology:
SA node is depolarizing slower
than normal, impulse is conducted than normal, impulse is conducted normally (i.e. normal PR and QRS
interval).
Rhythm #2
130 bpm
Rate?
Regularity?
regular
Regularity?
regular normal
0.08 s
P waves?
PR interval?
0.16 s
QRS duration?
Interpretation?
Sinus Tachycardia
Sinus Tachycardia
Etiology:
SA node is depolarizing faster
than normal, impulse is conducted than normal, impulse is conducted normally.
Remember: sinus tachycardia is a
response to physical or psychological
stress, not a primary arrhythmia.
Rhythm #3
70 bpm
Rate?
Regularity?
occasionally irreg.
Regularity?
occasionally irreg. 2/7 different contour
0.08 s
P waves?
PR interval?
0.14 s (except 2/7)
QRS duration?
Interpretation?
NSR with Premature Atrial
Contractions
Premature Atrial Contractions
Deviation from NSR
Deviation from NSR
These ectopic beats originate in the
atria (but not in the SA node),
therefore the contour of the P wave,
the PR interval, and the timing are
different than a normally generated
pulse from the SA node.
Premature Atrial Contractions
Etiology:
Excitation of an atrial cell
forms an impulse that is then conducted forms an impulse that is then conducted normally through the AV node and
ventricles.
Rhythm #4
60 bpm
Rate?
Regularity?
occasionally irreg.
Regularity?
occasionally irreg. none for 7thQRS
0.08 s (7th wide)
P waves?
PR interval?
0.14 s
QRS duration?
Interpretation?
Sinus Rhythm with 1 PVC
PVCs
Deviation from NSR
Ectopic beats originate in the ventricles
Ectopic beats originate in the ventricles resulting in wide and bizarre QRS
complexes.
When there are more than 1 premature
beats and look alike, they are called
uniform. When they look different, they are
called multiform.
Ventricular Conduction Normal
Signal moves rapidly
through the ventricles
Abnormal
Signal moves slowly
through the ventricles
ECG Rhythm Interpretation
Module IV b
Supraventricular and
Ventricular Arrhythmias
Course Objectives
To recognize the normal rhythm of the
heart -Normal Sinus Rhythm.
To recognize the 13 most common
To recognize the 13 most common rhythm disturbances.
To recognize an acute myocardial
infarction on a 12-lead ECG.
Learning Modules
ECG Basics
How to Analyze a Rhythm
Normal Sinus Rhythm
Heart Arrhythmias
Diagnosing a Myocardial Infarction
Advanced 12-Lead Interpretation
Atrial Fibrillation
Deviation from NSR
No organized atrial depolarization, so no normal P waves (impulses are not no normal P waves (impulses are not originating from the sinus node).
Atrial activity is chaotic (resulting in an
irregularly irregular rate).
Common, affects 2-4%, up to 5-10% if
> 80 years old
Atrial Fibrillation
Etiology:
Recent theories suggest that it
is due to multiple re-entrant wavelets
conducted between the R & L atria. conducted between the R & L atria. Either way, impulses are formed in a
totally unpredictable fashion. The AV
node allows some of the impulses to
pass through at variable intervals (so
rhythm is irregularly irregular).
Atrial Flutter
Deviation from NSR
No P waves. Instead flutter waves (note
No P waves. Instead flutter waves (note sawtooth pattern) are formed at a rate
of 250 -350 bpm.
Only some impulses conduct through
the AV node (usually every other
impulse).
Atrial Flutter
Etiology:
Reentrant pathway in the right
atrium with every 2nd, 3rd or 4th atrium with every 2nd, 3rd or 4th impulse generating a QRS (others are
blocked in the AV node as the node
repolarizes).
Rhythm #7
74 148bpm
Rate?
Regularity?
Regular
regular
Regularity?
Regular
regular
Normal none
0.08 s
P waves?
PR interval?
0.16 s none
QRS duration?
Interpretation?
Paroxysmal Supraventricular
Tachycardia (PSVT)
PSVT
Deviation from NSR
The heart rate suddenly speeds up,
The heart rate suddenly speeds up, often triggered by a PAC (not seen
here) and the P waves are lost.
PSVT
Etiology:
There are several types of
PSVT but all originate above the PSVT but all originate above the ventricles (therefore the QRS is narrow).
Most common: abnormal conduction in
the AV node (reentrant circuit looping in
the AV node).
Ventricular Tachycardia
Deviation from NSR
Impulse is originating in the ventricles
Impulse is originating in the ventricles (no P waves, wide QRS).
Ventricular Tachycardia
Etiology:
There is a re-entrant pathway
looping in a ventricle (most common looping in a ventricle (most common cause).
Ventricular tachycardia can sometimes
generate enough cardiac output to
produce a pulse; at other times no pulse
can be felt.
Ventricular Fibrillation
Etiology:
The ventricular cells are
excitable and depolarizing randomly. excitable and depolarizing randomly.
Rapid drop in cardiac output and death
occurs if not quickly reversed
ECG Rhythm Interpretation
Module IV c
AV Junctional Blocks
Course Objectives
To recognize the normal rhythm of the
heart -Normal Sinus Rhythm.
To recognize the 13 most common
To recognize the 13 most common rhythm disturbances.
To recognize an acute myocardial
infarction on a 12-lead ECG.
Learning Modules
ECG Basics
How to Analyze a Rhythm
Normal Sinus Rhythm
Heart Arrhythmias
Diagnosing a Myocardial Infarction
Advanced 12-Lead Interpretation
AV Nodal Blocks
1st Degree AV Block
2nd Degree AV Block, Type I
2nd Degree AV Block, Type I
2nd Degree AV Block, Type II
3rd Degree AV Block
Rhythm #10
60 bpm
Rate?
Regularity?
regular
Regularity?
regular normal
0.08 s
P waves?
PR interval?
0.36 s
QRS duration?
Interpretation?
1st Degree AV Block
1st Degree AV Block
Deviation from NSR
PR Interval
> 0.20 s
PR Interval
> 0.20 s
1st Degree AV Block
Etiology:
Prolonged conduction delay in
the AV node or Bundle of His. the AV node or Bundle of His.
Rhythm #11
50 bpm
Rate?
Regularity?
regularly irregular
Regularity?
regularly irregular nl, but 4th no QRS
0.08 s
P waves?
PR interval?
lengthens
QRS duration?
Interpretation?
2nd Degree AV Block, Type I
2nd Degree AV Block, Type I
Deviation from NSR
PR interval progressively lengthens,
PR interval progressively lengthens, then the impulse is completely blocked
(P wave not followed by QRS).
2nd Degree AV Block, Type I
Etiology:
Each successive atrial impulse
encounters a longer and longer delay in encounters a longer and longer delay in the AV node until one impulse (usually
the 3rd or 4th) fails to make it through
the AV node.
Rhythm #12
40 bpm
Rate?
Regularity?
regular
Regularity?
regular nl, 2 of 3 no QRS
0.08 s
P waves?
PR interval?
0.14 s
QRS duration?
Interpretation?
2nd Degree AV Block, Type II
2nd Degree AV Block, Type II
Deviation from NSR
Occasional P waves are completely
Occasional P waves are completely blocked (P wave not followed by QRS).
2nd Degree AV Block, Type II
Etiology:
Conduction is all or nothing
(no prolongation of PR interval); (no prolongation of PR interval); typically block occurs in the Bundle of
His.
Rhythm #13
40 bpm
Rate?
Regularity?
regular
Regularity?
regular no relation to QRS
wide (> 0.12 s)
P waves?
PR interval?
none
QRS duration?
Interpretation?
3rd Degree AV Block
3rd Degree AV Block
Deviation from NSR
The P waves are completely blocked in
The P waves are completely blocked in the AV junction; QRS complexes
originate independently from below the
junction.
3rd Degree AV Block
Etiology:
There is complete block of
conduction in the AV junction, so the conduction in the AV junction, so the atria and ventricles form impulses
independently of each other. Without
impulses from the atria, the ventricles
own intrinsic pacemaker kicks in at
around 30 -45 beats/minute.
Remember
When an impulse originates in a ventricle,
conduction through the ventricles will be
inefficient and the QRS will be wide and
bizarre. bizarre.
ECG Rhythm Interpretation
Module V
Acute Myocardial Infarction
Course Objectives
To recognize the normal rhythm of the
heart -Normal Sinus Rhythm.
To recognize the 13 most common
To recognize the 13 most common heart arrhythmias.
To recognize an acute myocardial
infarction on a 12-lead ECG.
Learning Modules
ECG Basics
How to Analyze a Rhythm
Normal Sinus Rhythm
Heart Arrhythmias
Diagnosing a Myocardial Infarction
Advanced 12-Lead Interpretation
Diagnosing a MI
To diagnose a myocardial infarction you
need to go beyond looking at a rhythm
strip and obtain a 12-Lead ECG.
Rhythm
Strip
12-Lead
ECG
The 12-Lead ECG
The 12-Lead ECG sees the heart
from 12 different views.
Therefore, the 12
-
Lead ECG helps
Therefore, the 12
-
Lead ECG helps
you see what is happening in
different portions of the heart.
The rhythm strip is only 1 of these 12
views.
The 12-Leads
The 12-leads include:
3 Limb leads
(I, II, III) (I, II, III)
3 Augmented leads
(aVR, aVL, aVF)
6 Precordial leads
(V
1-V
6)
Views of the Heart
Some leads get a
good view of the:
Lateral portion
of the heart
Anterior portion
of the heart
Inferior portion
of the heart
ST Elevation
One way to
diagnose an
acute MI is to acute MI is to look for
elevation of
the ST
segment.
ST Elevation (cont)
Elevation of the
ST segment
(greater than 1 (greater than 1 small box) in 2
leads is
consistent with a
myocardial
infarction.
Anterior View of the Heart
The anterior portion of the heart is best
viewed using leads V
1-V
4.
Anterior Myocardial Infarction
If you see changes in leads V
1-V
4
that are consistent with a myocardial
infarction, you can conclude that it is infarction, you can conclude that it is an anterior wall myocardial infarction.
Putting it all Together
Do you think this person is having a
myocardial infarction. If so, where?
Interpretation
Yes
, this person is having an acute anterior
wall myocardial infarction.
Other MI Locations
Now that you know where to look for an
anterior wall myocardial infarction lets
look at how you would determine if the MI look at how you would determine if the MI involves the lateral wall or the inferior wall
of the heart.
Other MI Locations
First, take a look
again at this
picture of the heart.
Lateral portion
of the heart
Anterior portion
of the heart
Inferior portion
of the heart
Other MI Locations
Second, remember that the 12-leads of the ECG look at
different portions of the heart. The limb and augmented
leads see electrical activity moving inferiorly ( II, III and
aVF), to the left (I, aVL) and to the right (aVR). Whereas, the
precordial leads see electrical activity in the posterior to
anterior direction. anterior direction.
Limb Leads Augmented Leads Precordial Leads
Other MI Locations
Now, using these 3 diagrams lets figure where
to look for a lateral wall and inferior wall MI.
Limb Leads
Augmented Leads
Precordial Leads
Limb Leads
Augmented Leads
Precordial Leads
Anterior MI
Remember the anterior portion of the heart is
best viewed using leads V
1
-V
4
.
Limb Leads
Augmented Leads
Precordial Leads
Limb Leads
Augmented Leads
Precordial Leads
Lateral MI
So what leads do you think
the lateral portion of the
heart is best viewed?
Limb Leads
Augmented Leads
Precordial Leads
Leads I, aVL, and V
5-V
6
Limb Leads
Augmented Leads
Precordial Leads
Inferior MI
Now how about the
inferior portion of the
heart?
Limb Leads
Augmented Leads
Precordial Leads
Leads II, III and aVF
Limb Leads
Augmented Leads
Precordial Leads
Putting it all Together
Now, where do you think this person is
having a myocardial infarction?
Inferior Wall MI
This is an inferior MI. Note the ST elevation
in leads II, III and aVF.
Putting it all Together
How about now?
Anterolateral MI
This persons MI involves
both
the anterior wall
(V
2
-V
4
) and the lateral wall (V
5
-V
6
, I, and aVL)!
ECG Rhythm Interpretation
Module VI
Advanced 12-Lead Interpretation
Course Objectives
To recognize the normal rhythm of the
heart -Normal Sinus Rhythm.
To recognize the 13 most common
To recognize the 13 most common heart arrhythmias.
To recognize an acute myocardial
infarction on a 12-lead ECG.
Learning Modules
ECG Basics
How to Analyze a Rhythm
Normal Sinus Rhythm
Heart Arrhythmias
Diagnosing a Myocardial Infarction
Advanced 12-Lead Interpretation
The 12-Lead ECG
The 12-Lead ECG contains a wealth of
information. In Module V you learned that
ST segment elevation in two leads is
suggestive of an acute myocardial suggestive of an acute myocardial infarction. In this module we will cover:
ST Elevation and non-ST Elevation MIs
Left Ventricular Hypertrophy
Bundle Branch Blocks
ST Elevation and
non-ST Elevation MIs
ST Elevation and non-ST Elevation MIs
When myocardial blood supply is abruptly
reduced or cut off to a region of the heart, a
sequence of injurious events occur beginning
with
ischemia
(inadequate tissue perfusion),
followed by
necrosis
(infarction), and eventual
followed by
necrosis
(infarction), and eventual
fibrosis
(scarring) if the blood supply isn't
restored in an appropriate period of time.
The ECG changes over time with each of
these events
ECG Changes
Ways the ECG can change include:
ST elevation &
depression
Appearance
of pathologic
Q-waves
T-waves
peaked flattened inverted
ECG Changes & the Evolving MI
There are two
distinct patterns
of ECG change
Non-ST
Elevation
of ECG change depending if the
infarction is:
ST Elevation
(Transmural or Q-wave),
or
Non-ST Elevation
(Subendocardial or non-Q-wave)
ST
Elevation
ST Elevation Infarction
The ECG changes seen with a ST elevation infarction are:
Before injury
Normal ECG ST depression, peaked T-waves,
then T-wave inversion
ST elevation
& appearance of
Q-waves
ST segments and T-waves return to
normal, but Q-waves persist
Ischemia Infarction Fibrosis
ST Elevation Infarction
Heres a diagram depicting an evolving infarction:
A.
Normal
ECG prior to MI
B.
Ischemia
from coronary artery occlusion
results in ST depression (not shown) and results in ST depression (not shown) and peaked T-waves
C.
Infarction
from ongoing ischemia results in
marked ST elevation
D/E.
Ongoing infarction
with appearance of
pathologic Q-waves and T-wave inversion
F.
Fibrosis
(months later) with persistent Q-
waves, but normal ST segment and T-
waves
ST Elevation Infarction
Heres an ECG of an
inferior
MI:
Look at the
inferior leads
(II, III, aVF).
Question: What ECG
changes do
you see?
ST elevation
and Q-waves
Extra credit: What is the
rhythm?
Atrial fibrillation (irregularly irregular with nar row QRS)!
Non-ST Elevation Infarction
Heres an ECG of an
inferior
MI later in time:
Now what do
you see in the
inferior leads?
ST elevation,
Q-waves and
T-wave
inversion
Non-ST Elevation Infarction
The ECG changes seen with a non-ST elevation infarction are:
Before injury
Normal ECG ST depression & T-wave inversion
ST depression & T-wave inversion
ST returns to baseline, but T-wave
inversion persists
Ischemia Infarction Fibrosis
Non-ST Elevation Infarction
Heres an ECG of an evolving non-ST elevation MI:
Note the ST
depression
and T-wave
inversion in inversion in leads V
2
-V
6
.
Question: What area of
the heart is
infarcting?
Anterolateral
Left Ventricular
Hypertrophy
Left Ventricular Hypertrophy
Compare these two 12-lead ECGs. What stands
out as different with the second one?
Normal Left Ventricular Hypertrophy
Answer:
The QRS complexes are very tall
(increased voltage)
Left Ventricular Hypertrophy
Why is left ventricular hypertrophy characterized by tall
QRS complexes?
As the heart muscle wall thickens there is an increa se in
electrical forces moving through the myocardium res ulting
in increased QRS voltage.
LVH
ECHOcardiogram
Increased QRS voltage
in increased QRS voltage.
Left Ventricular Hypertrophy
Criteria exists to diagnose LVH using a 12-lead ECG.
For example:
The R wave in V5 or V6 plus the S wave in V1 or V2
exceeds 35 mm.
However, for now, all
you need to know is
that the QRS voltage
increases with LVH.
Bundle Branch Blocks
Bundle Branch Blocks
Turning our attention to bundle branch blocks
Remember normal impulse conduction is impulse conduction is
SA node
AV node
Bundle of His
Bundle Branches
Purkinje fibers
Normal Impulse Conduction
Sinoatrial node
AV node
Bundle of His
Bundle Branches
Purkinje fibers
Bundle Branch Blocks
So, depolarization of
the Bundle Branches
and Purkinje fibers are
seen as the QRS
complex on the ECG. complex on the ECG. Therefore, a conduction
block of the Bundle
Branches would be
reflected as a change in
the QRS complex.
Right
BBB
Bundle Branch Blocks
With Bundle Branch Blocks you will see two changes
on the ECG.
1.
QRS complex widens
(> 0.12 sec)
.
2.
QRS morphology changes
(varies depending on ECG lead,
and if it is a right vs. left bundle branch block)
.
and if it is a right vs. left bundle branch block)
.
Bundle Branch Blocks
Why does the QRS complex widen? When the conduction pathway is blocked it pathway is blocked it will take longer for
the electrical signal
to pass throughout
the ventricles.
Right Bundle Branch Blocks
What QRS morphology is characteristic? For
RBBB
the wide QRS complex assumes a
unique, virtually diagnostic shape in those
leads overlying the right ventricle (V
and V
).
V
1
leads overlying the right ventricle (V
1
and V
2
).
Rabbit Ears
Left Bundle Branch Blocks
What QRS morphology is characteristic? For
LBBB
the wide QRS complex assumes a
characteristic change in shape in those leads
opposite
the left ventricle (right ventricular
opposite
the left ventricle (right ventricular
leads -V
1
and V
2
).
Broad,
deep S
waves
Normal
Summary
This Module introduced you to:
ST Elevation and Non-ST Elevation MIs
Left Ventricular Hypertrophy
Bundle Branch Blocks
Bundle Branch Blocks
Dont worry too much right now about trying to
remember all the details. Youll focus more on
advanced ECG interpretation in your clinical
years!
ECG Filtering
Contents
Very brief introduction to ECG
Some common ECG Filtering tasks
Baseline wander filtering
Baseline wander filtering
Power line interference filtering
Muscle noise filtering
Summary
A Very brief introduction
To quote the book:
Here a general prelude to ECG signal
Here a general prelude to ECG signal
processing and the content of this chapter
(3-5 pages) will be included.
Very nice, but lets take a little more
detail for those of us not quite so
familiar with the subject...
A Brief introduction to ECG
The electrocardiogram (ECG) is a time-varying signal
reflecting the ionic current flow which causes the
cardiac fibers to contract and subsequently relax. The
surface ECG is obtained by recording the potential
difference between two electrodes placed on the difference between two electrodes placed on the surface of the skin. A single normal cycle of the ECG
represents the successive atrial
depolarisation/repolarisation and ventricular
depolarisation/repolarisation which occurs with every
heart beat.
Simply put, the ECG (EKG) is a device that measures
and records the electrical activity of the heart from
electrodes placed on the skin in specific locations
What the ECG is used for?
Screening test for coronary artery disease,
cardiomyopathies, left ventricular hypertrophy
Preoperatively to rule out coronary artery disease
Can provide information in the precence of metabolic
alterations such has hyper/hypo calcemia/kalemia
etc.
With known heart disease, monitor progression of the
disease
Discovery of heart disease; infarction, coronal
insufficiency as well as myocardial, valvular and
cognitial heart disease
Evaluation of ryhthm disorders
All in all, it is the basic cardiologic test and is widely
applied in patients with suspected or known heart
disease
Typical ECG
A typical ECG period consists of P,Q,R,S,T and
U waves
ECG Waves
P wave: the sequential
activation
(depolarization) of the
right and left atria
QRS comples: right and left ventricular and left ventricular depolarization
T wave: ventricular
repolarization
U wave: origin not
clear, probably
afterdepolarizations in
the ventrices
ECG Example
ECG Filtering
Three common noise sources
Baseline wander
Power line interference
Muscle noise
When filtering any biomedical signal care should be taken not to alter the desired should be taken not to alter the desired information in any way
A major concern is how the QRS complex
influences the output of the filter; to the filter
they often pose a large unwanted impulse
Possible distortion caused by the filter should
be carefully quantified
Baseline Wander
Baseline Wander
Baseline wander, or extragenoeous low-
frequency high-bandwidth components, can
be caused by:
Perspiration (effects electrode impedance)
Respiration
Respiration
Body movements
Can cause problems to analysis, especially
when exmining the low-frequency ST-T
segment
Two main approaches used are linear filtering
and polynomial fitting
BW Linear, time-invariant
filtering
Basically make a highpass filter to cut of the lower-
frequency components (the baseline wander)
The cut-off frequency should be selected so as to ECG
signal information remains undistorted while as much as
possible of the baseline wander is removed; hence the
lowest
-
frequency component of the ECG should be
lowest
-
frequency component of the ECG should be
saught.
This is generally thought to be definded by the slowest
heart rate. The heart rate can drop to 40 bpm, implyi ng
the lowest frequency to be 0.67 Hz. Again as it is not
percise, a sufficiently lower cutoff frequency of about 0.5
Hz should be used.
A filter with linear phase is desirable in order to avo id
phase distortion that can alter various temporal
realtionships in the cardiac cycle
Linear phase response
can be obtained with finite
impulse response, but the
order needed will easily
grow very high
(approximately 2000, see
book for details)
Figure shows leves 400
(dashdot) and 2000
(dashed) and a 5th order (dashed) and a 5th order forward-bacward filter (solid)
The complexity can be reduced by for example forward-
backward IIR filtering. This has some drawbacks,
however:
not real-time (the backward part...)
application becomes increasingly difficult at highe r sampling rates
as poles move closer to the unit circle, resulting in unstability
hard to extend to time-varying cut-offs (will be di scussed shortly)
Another way of reducing filter complexity is to
insert zeroes into a FIR impulse response,
resulting in a comb filter that attenuates not only
the desired baseline wander but also multiples
of the original samping rate.
It should be noted, that this resulting multi-stopband
filter can severely distort also diagnostic information
in the signal in the signal
Yet another way of reducing filter
complexity is by first decimating and then
again interpolating the signal
Decimation removes the high-frequency
content, and now a lowpass filter can be
used to output an estimate of the baseline
wander
The estimate is interpolated back to the
original sampling rate and subtracted from
the original signal
BW Linear, time-variant filtering
Baseline wander can also be of higher
frequency, for example in stress tests, and in
such situations using the minimal heart rate for
the base can be inefficeient.
By noting how the ECG spectrum shifts in
frequency when heart rate increases, one may
suggest coupling the cut
-
off frequency with the
suggest coupling the cut
-
off frequency with the
prevailing heart rate instead
Schematic Schematic example example of of
Baseline Baseline noise and the noise and the
ECG Spectrum at a ECG Spectrum at a
a) lower heart rate a) lower heart rate
b) higher heart b) higher heart rate rate
How to represent the
prevailing heart rate
A simple but useful way is
just to estiamet the length of
the interval between R
peaks, the RR interval
Linear interpolation for
interior values
Time-varying cut-off frequency should be inversely
proportional to the distance between the RR peaks
In practise an upper limit must be set to avoid dis tortion in very
short RR intervals
A single prototype filter can be designed and subjected
to simple transformations to yield the other filters
BW Polynomial Fitting
One alternative to basline removal is to fit polynomials
to representative points in the ECG
Knots selected from a
silent segment, often the
best choise is the PQ
interval
A polynomial is fitted so
A polynomial is fitted so that it passes through
every knot in a smooth
fashion
This type of baseline
removal requires the QRS
complexes to have been
identified and the PQ
interval localized
Higher-order polynomials can provide a more
accurate estimate but at the cost of additional
computational complexity
A popular approach is the cubic spline estimation
technique
third-order polynomials are fitted to successive sets of
triple knots
By using the third-order polynomial from the Taylor series and requiring the estimate to pass through the series and requiring the estimate to pass through the knots and estimating the first derivate linearly, a
solution can be found
Performance is critically dependent on the accuracy of
knot detection, PQ interval detection is difficult in mor e
noisy conditions
Polynomial fitting can also adapt to the heart rate
(as the heart rate increases, more knots are
available), but performs poorly when too few
knots are available
Baseline Wander Comparsion
a)
Original ECG
b)
time
-
invariant
An comparison of the methods for baseline wander An comparison of the methods for baseline wander
removal at a heart rate of 120 beats per minute removal at a heart rate of 120 beats per minute
b)
time
-
invariant
filtering
c)
heart rate
dependent
filtering
d)
cubic spline
fitting
Power Line Interference
Electromagnetic fields from power lines
can cause 50/60 Hz sinusoidal
interference, possibly accompanied by
some of its harmonics
Such noise can cause problems interpreting low
-
amplitude waveforms
interpreting low
-
amplitude waveforms
and spurious waveforms can be
introduced.
Naturally precautions should be taken to
keep power lines as far as possible or
shield and ground them, but this is not
always possible
PLI Linear Filtering
A very simple approach to filtering power line
interference is to create a filter defined by a
comple-conjugated pair of zeros that lie on
the unit circle at the interfering frequency ω
0
This notch will of course also attenuate ECG waveforms constituted by frequencies close to
ω
waveforms constituted by frequencies close to
ω
0
The filter can be improved by adding a pair of
complex-conjugated poles positioned at the same
angle as the zeros, but at a radius. The radius
then determines the notch bandwith.
Another problem presents; this causes increased
transient response time, resulting in a ringing
artifact after the transient
Pole Pole--zero diagram for two zero diagram for two
second second--order IIR filters with order IIR filters with
idential locations of zeros, but idential locations of zeros, but
with radiuses of 0.75 and 0.95 with radiuses of 0.75 and 0.95
More sophisticated filters can be constructed for, for
example a narrower notch
However, increased frequency resolution is always
traded for decreased time resolution, meaning that it is
not possible to design a linear time-invariant filter t o
remove the noise without causing ringing
PLI Nonlinear Filtering
One possibility is to create a nonlinear filter which
buildson the idea of subtracting a sinusoid, generated b y
the filter, from the observed signal x(n)
The amplitude of the sinusoid v(n) = sin(ω
0
n)is adapted to the
power line interference of the observed signal thro ugh the use of
e(n) = x(n)
v(n)
an error function
e(n) = x(n)
v(n)
The error function is dependent of the DC level of x(n), but that
can be removed by using for example the first diffe rence :
e(n) = e(n) e(n-1)
Now depending on the sign of e(n), the value of v(n)is updated
by a negative or positive increment α,
v*(n) = v(n) + αsgn(e(n))
The output signal is obtained by subtracting the
interference estimate from the input,
y(n) = x(n) v*(n)
If αis too small, the filter poorly tracks changes
in the power line interference amplitude.
Conversely, too large a αcauses extra noise
due to the large step alterations due to the large step alterations
Filter convergence:
a) pure sinusoid
b)output of filter
with α=1
c) output of filter
with α=0.2
PLI Comparison of linear and
nonlinear filtering
Comparison of
power line
interference
removal: removal:
a)
original signal
b)
scond-order IIR filter
c)
nonlinear filter with
transient
suppression, α= 10
µV
PLI Estimation-Subtraction
One can also estimate the amplitude and phase
of the interference from an isoelectric sgment,
and then subtract the estimated segment from
the entire cycle
Bandpass filtering around the interference can be used
The location of the segment
The location of the segment can be defined, for example, by
the PQ interval, or with some
other detection criteria. If the
interval is selected poorly, for
example to include parts of the
P or Q wave, the interference
might be overestimated and
actually cause an increase in
the interference
The sinusoid fitting can be solved by minimizing the
mean square error between the observed signal and the
sinusoid model
As the fitting interval
grows, the stopband
becomes increasingly
narrow and passband
increasingly flat,
however at the cost of
the increasing
The estimation-subtraction technique can also work
adaptively by computing the fitting weights for example
using a LMS algorithm and a reference input (possibly
from wall outlet)
Weights modified for each time instant to minimize MSE between
power line frequency and the observed signal
the increasing oscillatory
phenomenon (Gibbs
phenomenon)
Muscle Noise Filtering
Muscle noise can cause severe problems as
low-amplitude waveforms can be obstructed
Especially in recordings during exercise
Muscle noise is not associated with narrow band filtering, but is more difficult since the spectral content of the noise considerably band filtering, but is more difficult since the spectral content of the noise considerably overlaps with that of the PQRST complex
However, ECG is a repetitive signal and thus
techniques like ensemle averaging can be
used
Successful reduction is restricted to one QRS
morphology at a time and requires several beats
to become available
MN Time-varying lowpass
filtering
A time-varying lowpass filter with variable
frequency response, for example Gaussian
impulse response, may be used.
Here a width function β(n)defined the width of the gaussian,
2
gaussian,
h(k,n) ~ e
-β(n)k
2
The width function is designed to reflect local
signal properties such that the smooth segments
of the ECG are subjected to considerable filtering
whereas the steep slopes (QRS) remains
essentially unaltered
By making β(n)proportional to derivatives of the
signal slow changes cause small β(n), resulting in
slowly decaying impulse response, and vice versa.
MN Other considerations
Also other already mentioned techniques may
be applicable;
the time-varying lowpass filter examined with
baseline wander
the method for power line interference based on
the method for power line interference based on trunctated series expansions
However, a notable problem is that the
methods tend to create artificial waves, little
or no smoothing in the QRS comples or other
serious distortions
Muscle noise filtering remains largely an
unsolved problem
Conclusions
Both baseline wander and powerline interference
removal are mainly a question of filtering out a
narrow band of lower-than-ECG frequency
interference.
The main problems are the resulting artifacts and h ow to optimally remove the noise optimally remove the noise
Muscle noise, on the other hand, is more difficult as it
overlaps with actual ECG data
For the varying noise types (baseline wander and
muscle noise) an adaptive approach seems quite
appropriate, if the detection can be done well. For
power line interference, the nonlinear approach
seems valid as ringing artifacts are almost
unavoidable otherwise
The main thing...
The main idea to take home from this section
would, in my opinion be, to always take note
of why you are doing the filtering. The best
way depends on what is most important for way depends on what is most important for the next step of processing in many cases
preserving the true ECG waveforms can be
more important than obtaining a
mathematically pleasing low error solution.
But then again doesnt that apply quite
often anyway?
ECG Signal Delineation
And Compression
Outline
I.
ECG signal delineation
Definition (What)
Clinical and biophysical background (Why)
Delineation as a signal processing (How)
II.
ECG signal compression
General approach to data compression
ECG signal compression
(Intrabeat/Interbeat/Interlead)
III.
Summary
Part I.
EGC signal delineation
Delineation -Overview
Aim Automatically decide/find onsetsand
offsetsfor every wave (P, QRS, and T) from
ECG signal (PQRST-complex)
Note! Experts (Cardiologist) use
manual/visual approach
Why?
Why Clinically relevant parameters
such as time intervals between waves,
duration of each wave or composite duration of each wave or composite wave forms, peak amplitudes etc. can
be derived
To understand this look how ECG signal
is generated
ECG Signal Generation
What Are We Measuring?
ECG gives (clinical) information from
generation and propagation of electric
signals in the heart.
Abnormalities related to generation
(arrhythmia) and propagation (ischemia,
infarct etc.) can be seen in ECG-signal
Also localization of abnormality is
possible (12 lead systems and BSM)
Clinically Relevant
Parameters
ST segment
QRS duration
Bundle brand block
depolarization
PR interval
SA ventricles
QT interval
ventricular
fibrillation
ST segment ischemia
Signal Processing Approach
to Delineation (How)
Clinical importance should now be clear
Delineation can also be done manually by experts (cardiologist)
expensive
by experts (cardiologist)
expensive
and time consuming. We want to do
delineation automatically (signal
processing)
No analytical solution performance
has to be evaluated with annotated
databases
Building Onset/Offset Detector
Many algorithms simulate cardiologist
manual delineation (ground truth)
process:
Experts look 1) where the slope reduce to flat line 2) respect maximum upward, to flat line 2) respect maximum upward, downward slope
Simulate this: define the boundary
according to relative slope reduction
with respect maximum slope LPD
approach
Low-Pass Differentiated (LPD)
Signal is 1) low-pass filtered i.e. high
frequency noise is removed
(attenuated) and 2) differentiated dv/dt (attenuated) and 2) differentiated dv/dt
New signal is proportional to slope
Operations can be done using only one
FIR filter :
)(*)( )(nh nx ny
=
LPD cont.
Each wave has a unique frequency
band thus different low-pass (LP)
filtering (impulse) responses are needed
for each wave (P, QRS, and T) for each wave (P, QRS, and T)
Design cut-off frequencies using Power
Spectral Density (PSD)
Differentiation amplifies (high freq.)
noise and thus LP filtering is required
LPD cont..
Waves w={P,QRS,T} are segmented
from the i:thheart beat.
+
-
=
=
W
W
n
n
y
e
i
i
,...,
)
(
0
q
q
Using initial and final extreme points
thresholds for can be derived
+
-
=
=
oteherwise
W
W
n
n
y
yw
e
i
i
i
, 0
,...,
)
(
0
q
q
wK wy w
wK wy w
e
i
e
i
e
o
i
o
i
o
/
/
=
=
h
h
LPD cont...
Constants are control the boundary detection
they can be learnt from annotated database
Search backwards from initial extreme point.
Search backwards from initial extreme point. When threshold is crossed onset has been
detected
Search forward from last extreme point and
when threshold is crossed offset is
detected.
Part II.
EGC signal compression
General Data Compression
The idea is represent the
signal/information with fewer bits
Any signal that contains some
Any signal that contains some redundancy can be compressed
Types of compression: lossless and
lossy compression
In lossy compression preserve those
features which carry (clinical)
information
ECG Data Compression
1)
Amount of data is increasing:
databases, number of ECG leads,
sampling rate, amplitude resolution sampling rate, amplitude resolution etc.
2)
ECG signal transmission
3)
Telemetry
ECG Data Compression
Redundancy in ECG data: 1) Intrabeat
2) Interbeat, and 3) Interlead
Sampling rate, number of bits, signal
Sampling rate, number of bits, signal bandwidth, noise level and number of
leads influence the outcome of
compression
Waveforms are clinically important
(preserve them) whereas isoelectric
segments are not (so) relevant
IntrabeatLossless
Compression
Not efficient has mainly historical
value
Sample is predicted as a linear combination of past samples and only combination of past samples and only prediction error is stored (smaller
magnitude):
)()(
) ( ... )1 ( )(
1
nx nx e
pnxa nxa nx
p p
p p
- =
-
+
+
-
=
IntrabeatLossyCompression
Direct Method
Basic idea: Subsample the signal using
parse sampling for flat segments and
dense sampling for waves:
(
n,x
(n)), n=0,...,N
-
1
(
nk,x
(
nk
)),
(
n,x
(n)), n=0,...,N
-
1
(
nk,x
(
nk
)),
k=0,...,K-1
Example AZTEC
Last sampled time point is in n0
Increment time (n) As long as signal in within certain amplitude limits (flat) within certain amplitude limits (flat)
)) ( )( (
21
)(
)( )(
)}(, ),1 (), ( max{ )(
)}(, ),1 (), ( min{ )(
max min
min max
0 0 max
0 0 min
k k k
n x n x ny
n x n x
nx nx nx n x
nx nx nx n x
+ =
< -
+ =
+
=
e
K
K
Intrabeat Lossy Compression
Transform Based Methods
Signal is represented as an expansion
of basis functions:
∑
=
=
N
k
k k
w x
1
j
Only coefficients need to be restored
Requirement: Partition of signal is
needed (QRS-detectors)
Method provides noise reduction
∑
=
k
1
Interbeat Lossy Compression
Heart beats are almost identical
(requires QRS detection, fiducial point)
Subtract average beat and code
Subtract average beat and code residuals (linear prediction or transform)
1 ,..., 0 )()(
)
(
1
)(
1 ,..., 0 )
( )(
1
- = - =
+ =
- = + =
-
=
∑
N n ns nx y
nx
L
ns
N n nX nx
i i i
ji
L
j
i
i i
q
q
Interlead Compression
Multilead (e.g. 12-lead) systems
measure same event from different
angles
redundancy
angles
redundancy
Extend direct and transform based
method to multilead environment
Extended AZTEC
Transform concatenated signals
=
12
2
1
x
x
x
x
M
Summary -part I
Delineation = automatically detect
waves and their on-and offsets (What)
Clinically important parameters are
Clinically important parameters are obtained (Why)
Design algorithm that looks relative
slope reduction (How)
LPD-method Differentiate low-pass
filtered signal
Summary -part II
Compression = remove redundancy:
intrabeat, interbeat, and interlead
Why
Large amount of data,
Why
Large amount of data,
transmission and telemetry
Lossless (historical) and lossy
compression
Notice which features are lost
(isoelectric segments dont carry any
clinical information)
Summary -part II cont.
Intrabeat 1) direct and 2) transform based
methods
1) Subsample signal with non-uniform way
2) Use basis function (save only weights)
Interbeat subtract average beat and code
residuals (linear prediction or transform -
coding)
Interlead extend intrabeat methods to
multilead environment
QRS Detection
QRS Complex
P wave: depolarization of right
and left atrium
QRS complex: right and left
ventricular depolarization
ST-T wave: ventricular
repolarization
QRS Detection
QRS detection is important in
all kinds of ECG
signalprocessing
QRS detector must be able to detect a
large
number of
different QRS
morphologies
number of
different QRS
morphologies
QRS detector must
not lock onto certain types
of rhythms
but treat next possible detection as
if it could occur almost anywhere
QRS Detection
Bandpass characteristics to preserve essential spectral content ( e.g.
enhance QRS, suppress P and T wave), typical center frequency 10 -
25 Hz and bandwidth 5 - 10 Hz
Enhance QRS complex from background noise, transform each QRS
complex into single positive peak
Test whether a QRS complex is present or not (e.g. a sim ple amplitude
threshold)
Signal and Noise Problems
1)
Changes in QRS
morphology
i.
of physiological origin
ii.
due to technical problems
ii.
due to technical problems
2)
Occurrence of noise with
i.
large P or T waves
ii.
myopotentials
iii.
transient artifacts (e.g.
electrode problems)
Signal and Noise Problems
Estimation Problem
Maximum likelihood (ML) estimation
technique to derive detector structure
Starting point: same signal model as for
derivation of Woody method for
alignment of evoked responses with
varying latencies
QRS Detection
Unknown time of
occurrence q
QRS Detection
QRS Detection
Unknown time of occurrence and
amplitude a
QRS Detection
Unknown time of occurrence, amplitude and
width
QRS Detection
QRS Detection
Peak-and-valley
picking strategy
Use of local extreme values as basis for QRS detect ion
Base of several QRS detectors
Distance between two extreme values must be within certain
Distance between two extreme values must be within certain limits to qualify as a cardiac waveform
Also used in data compression of ECG signals
Linear Filtering
To
enhance QRS
from background noise
Examples of linear, time-invariant filters for
QRS detection:
Filter that emphasizes segments of signal containing rapid transients (i.e. QRS containing rapid transients (i.e. QRS complexes)
Only suitable for resting ECG and good SNR
Filter that emphasizes rapid transients +
lowpassfilter
Linear Filtering
Family of filters, which allow large
variability in signal and noise properties
Suitable for long-term ECG recordings (because no multipliers)
Filter matched to a certain waveform not possible in practice
Optimize linear filter parameters (e.g. L
1and L
2)
Filter with impulse response defined from detected QRS complexes
Nonlinear Transformations
To produce a single, positive-valued peak for each QRS
complex
Smoothed squarer
Only large-amplitude events of sufficient
duration (QRS complexes) are preserved in
output signal z(n).
Envelope techniques
Several others
Decision Rule
To determine
whether or not a QRS complex
has occurred
Fixed threshold h
Adaptive threshold
QRS amplitude and morphology may
change drastically during a course of just a
few seconds
Here only amplitude-related decision rules
Noise measurements
Decision Rule
Interval-dependent QRS detection threshold
Threshold updated once for every new
detection and is then held fixed during
following interval until threshold is
exceeded and a new detection is found
Time
-
dependent QRS detection threshold
Time
-
dependent QRS detection threshold
-Improves rejection of large-
amplitude T waves
-Detects low-amplitude
ectopic beats
-Eye-closing period
Performance Evaluation
Before a QRS detector can be implemented
in a clinical setup
Determine suitable parameter values
Evaluate the performance for the set of chosen parameters chosen parameters
Performance evaluation
Calculated
theoretically
or
Estimated from database
of ECG
recordings containing large variety of QRS
morphologies and noise types
Performance Evaluation
Estimate performance from ECG recordings database
Performance Evaluation
Performance Evaluation
Receiver operating
characteristics
(ROC)
Study behaviour of detector for different detector for different parameter values
Choose parameter
with acceptable
trade-off between
P
D
and P
F
Summary
QRS detection important in all kinds of ECG signal
processing
Typical structure of QRS detector algorithm:
preprocessing (
linear filter
,
nonlinear transformation
)
and
decision rule
and
decision rule
For different purposes (e.g. stress testing or intensive
care monitoring), different kinds of filtering,
transformations and thresholdingare needed
Multi-lead
QRS detectors
Arrhythmia analysis
(heart rate variability)
Contents
1. Introduction: one slide of autonomic nervous
system
2. Why does heart rate vary?
3. Analysis methods
a) Time domain measures
b) Model of the heart rate
c) Representations of heart rate
d) Spectral methods (introduction)
4. Summary
Human nervous
system
Autonomic nervous
system:
regulates individual organ
function and homeostasis,
and for the most part is not
subject to voluntary
control
Somatic nervous
system: controls
organs under voluntary
control (mainly
muscles)
Somatic Autonomic
Parasympathetic:
rest
control
Sympathetic:
Fight, fright,
flight
Why does heart rate vary?
Why is the variation interesting?
Heart rhythm is due to
the pacemaker cells in
the sinus node
Autonomic nervous system
regulates the sinus node
Analysis of the sinus rhythm provides
information about the state of the
autonomic nervous system
Starting point of the analysis of the heart
rate variability
sinus node → P-wave (hard to detect)
analysis methods are based on measuring RR-
intervals
(RR-interval can be used instead of PP-
interval, since PR-interval ~ constant)
NN
-
intervals = RR
-
intervals but non
-
normal intervals
NN
-
intervals = RR
-
intervals but non
-
normal intervals
excluded
RR-interval
Problems in the analysis
-
In laboratory analysis is easy.
-
24 h measurement (Holter)
-
→problems: wrong corrects, undetected beats, undetected beats, 100 000 RR-intervals
-
Analysis methods are sensitive to errors
(time domain methods less sensitive,
spectral most sensitive)
Time domain measures of HR
Long term variations in heart rate
(due to parasympathetic activity)
are described by:
- SDNN = standard deviation of NN-intervals (1 value / 24 h)
- SDANN= standard deviation of NN-intervals in 5-minute segment s
(288 values / 24 h)
Short term variations in heart rate (due to sympathetic activity)
-rMSSD = standard deviation of
successive interval differences
- pNN50 = the proportion of intervals
differing more than 50% from the previous
interval (used clinically)
Successive interval differences:
Intervals:
1
)(
-
- =
k k IT
t t k d
mean int.diff.
Time domain measures of
HR
Histogram approach:
has been used to study arrhyhtmias (in
addition to spontane variations in HR)
possible to remove artefacts and ectopic beats beats
only for 24 h measurement
width of the peak determines the variation
in the heart rate
Peak of short intervals due to falsely
detected T-waves
Model of the heart rate
Integral pulse frequency modulation (IPFM)
model:
Main idea:
We have the output: event series
We search for input m(t) that modulates
the HR (=autonomic nervous system)
m0 is the mean heart rate
)(td
u
E
INTEGRATOR
THRESHOLD
IPFM-model
Bridge to physiology: pacemaker cells collect
the charge until threshold. Then action
potential if fired.
When this equation is valid, produce a peak
to the event series:
t∫
-
= +
k
k
t
t
R d m m
1
))( (
0
t t
m0 mean heart rate
tk time of QRS-complex
m(t) modulation of heart rate
R threshold
Representations of the heart rate
Quantities to describe the heart rate:
Lengths of the RR-intervals
Occurence times of the QRS-
complexes
Deviations of the QRS
-
complex times
Deviations of the QRS
-
complex times
from the times predicted by a model
With IPFM-model we can test which
method is best in finding the
modulation m(t).
Representations of the HR
1. RR-interval series
* Interval tachogram & inverse These are functions of k (# of heart beats). If
they can be changed to functions of time,
several methods from other fields can be
used in the analysis.
1
)(
-
- =
k k IT
t t k d
1
1
)(
-
-
=
k k
IIT
t t
k d
* Interval function & inverse
(u=unevenly
sampled)
* Interpolated interval fuction & inverse
(evenly sampled, function of t)
- sample and hold interpolation (and better
methods)
- sample & hold produces high frequency
noise
low pass filter → before resampling
) () ( )(
1
1k
K
k
k k
u
IT
t t tt t d- - =
∑
=
-
d
Representations of the HR
2. Event series
Event series = QRS occurence times:
In low frequencies info of HR, in high
frequencies noise →new representation: low-
pass filter h
∑
=
- =
K
k
k E
tt td
0
) ( )(
d
∑
∫
-
=
-
=
K
k
E
LE
t
t
h
d
d
t
h
t
d
)
(
)
(
)
(
)
(
t
t
t
h =sin(2piFct)/t for example. After some limit
the terms in the sum are allmost zero.
If in the IPFM-model m(t)=sin(F1t), a proper
low-pass filter removes other stuff
except the m(t)
→estimate for m(t)=dLE(t)
∑
∫
=
-
=
-
=
k
k
E
LE
t
t
h
d
d
t
h
t
d
0
)
(
)
(
)
(
)
(
t
t
t
Representations of the HR
3. Heart timing
-
Unlike previous representations, this is based on the
IPFM-model. -
The aim is to find modulation m(t).
-
Heart timing representation:
∑
=
- - =
K
k
k k
u
HT
tt t kT t d
0
0
) () ( )(
d
k = # of heart beat T 0= average RR-interval length
-
dHTisthe deviation of the event time tk from the expected
time of occurence
. The expected time of occurence is
kT0.
-
By calculating Fourier transform of the d HT and m(t), one
can see that the spectrum of d HT and m(t) are related,
and spectrum of m(t) can be calculated from the
spectrum of dHT.
Representation of the HR
Performance of the representations
Best method to
predict m(t) of IPFM-
model is to use heart
timing representation
(which is based on
this model ) this model )
However: heart timing
representation does
not fully explain the
heart rate variability of
humans
→the IPFM-model
might not be accurate
Spectral methods
Which kind of information is gained?
Oscillation in heart rate is related to for
example:
-
body temperature changes 0.05 Hz (once in 20 seconds)
New topic: what kind of
modulating signals do we have?
20 seconds)
-
blood pressure changes 0.1 Hz
-
respiration 0.2-0.4 Hz
Power of spectral peaks →information
about pathologies in different
autonomic funtions
Power spectrum of a heart rate signal during rest
Spectral methods
Which kind of information is gained?
Peaks of thermal and blood pressure regulation
sometimes hard to detect →
frequency ranges used: 0.04-0.15 Hz and 0.15-0.40 Hz
Sympathicus increase, low-frequency power increase
Parasympathicus increase, high
-
frequency power increase
Parasympathicus increase, high
-
frequency power increase
Ratio between two spectral power describes autonomic
balance
Spectral methods
Problems of spectral analysis
Stationarity important
Extrabeats violate the stationarity, but they can be removed in the analysis they can be removed in the analysis
Undetected beats are a bigger problem
→spectral analysis can not be
conducted, if they are present
HR determines the highest frequency
that can be analyzed: 0.5*mean hr
Summary
Autonomic nervous system →heart rate varies
Measurment of HR →info about autonomic
system
Analysis methods of HR:
Analysis methods of HR:
Time domain methods »standard deviations
Representations of the heart rate
(intervals, times, heart timing=model based)
Model that can predict heart rate: IPFM -model
Spectral analysis (to be continued in the next talk)
Therapeutic Devices
Cardiac Pacemaker
Natural Pacemaker
SA node Primary pacemaker
AV node Secondary pacemaker
Every portion of heart can act as pacemaker, though with less periodic
and less magnitude pulse
Rhythmicity is provided by SA node. Rhythm (HR) influenced by Rhythmicity is provided by SA node. Rhythm (HR) influenced by
Temperature
Chemical activities
Nervous activities
Natural Pacemaker
HR increase
Force of ventricular contraction
blood pressure
cardiac output
increased parasympathetic activities
fall in HR
Excitability of Heart: Nature of Electrical Stimulus Excitability of Heart: Nature of Electrical Stimulus
abrupt onset
intense enough
adequate duration
Artificial Pacemaker
Electrical stimulator that produces repetitive puls es of current designed to
elicit contractions in atria and/or ventricles (con trolled oscillator)
Consider a strip of muscle, can be taken as a paral lel RC section. If the voltage across is
v and the total current is i, then with a voltage of ∆vin dduration
(
)
R C
Rv
dtdv
C i ii+ = + =
τ= RC∆membrane time constant
(
)
( )
t
t
t
/
/
/
1
1
1
d
d
t
e
b
i
e iR v
e iR v
R
dt
-
-
-
-
=
- =D
- =
when d = ∞, i = ∆v/R = b
b ∆Rheobasic current
Pacemaker mode of operation
Two chambers: atrial, ventricular
Three modes
Fixed rate pacemaker: asynchronous/ free running / non triggered / perm anent
Delivers rhythmic stimuli to ventricle at a constan t rate (fixed or externally
controlled by program)
Independent of the natural pacemaker activity
Applied in complete AV block
Problems Problems
Competitive pacing
Ventricular fibrillation
Reduced battery life
Triggered Pacemaker: Responsive to cardiac activity. Two types
Atrial Triggered Pacemaker
P wave is detected
delay of about 0.15 sec (AV conduction time) is giv en
stimulus is delivered to ventricles
Pacemaker mode of operation (contd)
Ventricular triggered Pacemaker: sense R wave, avoid competitive pacing
Ventricular Synchronous Pacemaker: delivers stimuli in the
refractory period of ventricles
Ventricular Inhibited Pacemaker: delivers stimuli after a delay of
0.8-1 sec and then waits for another R wave
Pacemaker Energy Sources Pacemaker Energy Sources
Hg-Zn Battery
Hg anode (compressed mixture of HgO, graphite & AgO)
Zn cathode, pores zinc
Defibrillator
Device that delivers electric shock to cardiac muscle undergoing fatal
arrhythmia, used to treat ventricular fibrillation
Before 1960, ac defibrillators (5-6 A at 60 Hz for 0.25 -1 sec) were
used
Successive attempts required
Cant correct atrial fibrillation (turns VF) Cant correct atrial fibrillation (turns VF)
DC defibrillators has mostly discharging currents forms as:
Lown waveform (20A, 3-6 kV, 10 ms (5+5))
Monopulse waveform (20A, 3-6 kV, 10 ms)
Tapered delay waveform (20A, 1.2 kV, 15 ms)
Trapezoidal waveform (20A, 0.8 kV, 20 ms)
Defibrillators
Lown: Capacitor is charged to 100 -400 J
Monopulse: L is replaced by high R
Tapered delay: cascading 2 LC sections
Trapezoidal: wave shaping
Control Circuit
Electrodes (Pads)
6-8 cm dia for adults, 4-6 cm for childs
Anterior-anterior
Anterior-posterior (larger dia)