This document discusses different types of signals and their representations. It describes: - Analog and digital signals as the two main types. - Periodic signals that repeat over a measurable time frame called a period. Aperiodic signals do not repeat. - Continuous signals having time as a continuum, while discrete signals are obtained by sampling continuous signals at discrete time intervals. - Even signals being identical to their time-reversed counterparts, odd signals changing sign when reversed, and orthogonal signals having no relationship between components.

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.
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lim

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.
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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