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.
- 8. Aperiodic Signal A signal that does not repeats its pattern over a period is called aperiodic signal or non periodic
- 10. Continuous Signal Time is a continuum. The function's domain is an uncountable set. The function itself need not be continuous.
- 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. dttg T T T T 2 2 2 |)(|0 1 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. dttg 2 |)(|
- 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
- 23. Ramp function
- 24. Any Questions ?
- 25. Thank You