Frequency Domain Is an analysis of signals or mathematical functions.pdf

Frequency Domain
Is an analysis of signals or mathematical functions, in reference to frequency,
instead of time. In signal processing, the time domain represents signals as functions of time. Conversely, the frequency domain represents signals in terms of their frequency components. This transformation from the time domain to the frequency domain is achieved through mathematical techniques like the Fourier transform.

1. Presentation of Group I
Lapuz, Katharine
Tanhueco, Lawrence
Saberon, Kian
Mandap, John Paul
Frequency Domain Analysis

2. Frequency Domain
Is an analysis of signals or mathematical functions, in reference to frequency,
instead of time.
•In signal processing, the time domain represents signals as functions of time. Conversely,
the frequency domain represents signals in terms of their frequency components.
•This transformation from the time domain to the frequency domain is achieved through
mathematical techniques like the Fourier transform.

3. Fourier Analysis
Is a mathematical tool used to decompose a function into its constituent
frequencies
•It is used for signal analysis, describing the spectral behavior of the signal.
•

Since the spectral information is given within the frequency domain, the Fourier transform
domain is called the frequency domain.

4. Discrete-Time Signal
Is a type of signal where the values are only defined at discrete points in
time.
Each discrete-time signal can be represented as a sum of properly shifted impulse function:
•The Discrete-Time Fourier Transform (DTFT) is applied to non-periodic discrete-time
signals.
•The Discrete Fourier Series (DFS) is applied to periodic sequences.
•The Discrete Fourier Transform (DFT) is applied to non-periodic discrete-time signals of
finite length.

5. Discrete-Time Fourier Transform
The Discrete-time Fourier transform of a discrete-time signal (n), is the
representation of this signal as a combination of complex exponential
sequences of the form e jwn, where w is the angular frequency in rad/
sec.

7. DTFT Properties
DTFT Properties

8. DTFT Properties
DTFT Properties