Lesson 3 Signals and systems Linear system
Meiling CHEN2 (1) Unit step function Shift a Linear system
Meiling CHEN3 (2) Unit impulse function Area=1 Amplitude width Linear system
Meiling CHEN4 (3) Unit doublet function Linear system
Meiling CHEN5 … Sampling Linear system
Meiling CHEN6 (4) sign function (5) Unit ramp signal Linear system
Meiling CHEN7 (6) parabolic signal (7) sinc signal Linear system
Meiling CHEN8 Signal Classification Periodic and aperiodic Even and odd Real and complex Continuous-time and discrete-time Deterministic and stochastic (random) Causal and noncausal Linear system
Meiling CHEN9 Periodic signals Even signals odd signals Linear system
Meiling CHEN10 Causal signals Anticausal signals Linear system
Meiling CHEN11 Causal and noncausal system Example: distinguish between causal and noncausal systems in the following: (1) Case I Noncausal system Linear system
Meiling CHEN12 (2) Case II causal system Delay system (3) Case III causal system At present past Linear system
Meiling CHEN13 (4) Case IV noncausal system At presentfuture (5) Case V noncausal system Linear system
Meiling CHEN14 Signal operations Simple operation : ＋、－ Convolution : * Linear system
Meiling CHEN15 simple operation Linear system
Meiling CHEN16 Convolution Integral : Linear system …
Meiling CHEN17 Linear system I.C.=0 Linear system Impulse response Transfer function of the system Linear system I.C.=0 Any input Zero state response
Meiling CHEN18 Example : Graphical convolution (1) Linear system
Meiling CHEN19 (2) (3) Linear system
Meiling CHEN20 (4) (5) Linear system
Meiling CHEN21 Linear system Ans:
Meiling CHEN22 integral Algebra operator Laplace and convolution Linear system
Meiling CHEN23 Example Linear system
Meiling CHEN24 Linear system Hint:
Meiling CHEN25 Laplace transform Complex frequency For causal signals pass through linear time-invariant causal systems f(t)F(s)f(t)F(s) 1 u(t) r(t)
Meiling CHEN26 Laplace transform properties Linear system