Representation of signals

Signals, Representation of signals, Types of Signal

1. Representation of Signals

2. Today’s Outline Signal Types of Signal Signal Representation Elementary signals

3. What is signal? Signal is a function that conveys information about the behavior or attributes of some phenomenon.

4. Types of signal Two main types of signals encountered in practice. Analog signal Digital Signal

5. Representation of Different Signals Periodic & Aperiodic Signal Continuous & Discrete Signal Orthogonal Signal Even & Odd signal Power & Energy Signal

6. Periodic signal Completes a pattern within a measurable time frame, called a period Repeats that pattern over identical subsequent periods. 

7. Periodic signal

8. Aperiodic Signal A signal that does not repeats its pattern over a period is called aperiodic signal or non periodic

9. Aperiodic Signal

10. Continuous Signal Time is a continuum. The function's domain is an uncountable set. The function itself need not be continuous.

11. Continuous Signal

12. Discrete Signal Discrete-time signal is not a function of a continuous argument. Obtained by sampling from a continuous-time signal.

13. Discrete Signal

14. A signal is referred to as an even if it is identical to its time-reversed counterparts; x(t) = x(-t). Even signals are symmetric around vertical axis. Even Signal

15. Even Signal

16. Odd Signal A signal is odd if x(t) = -x(-t).  An odd signal must be 0 at t=0, in other words, odd signal passes the origin.

17. Odd Signal

18. Power signal A power signal is a signal that has finite power for each point in time.

19. Energy Signal An energy signal has a finite energy. A signal in energy signal if and only if the condition (0 < E < ∞) is fulfilled.

20. Orthogonal Signals Each component signal has no relationship with others.   Orthogonal signal is denoted as  φ (t).   

21. Elementary Signals Unit step function Ramp function

22. Unit step function

23. Ramp function

24. Any Questions ?

25. Thank You