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Lesson 3 Signals and systems Linear system
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Meiling CHEN2 (1) Unit step function Shift a Linear system
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Meiling CHEN3 (2) Unit impulse function Area=1 Amplitude width Linear system
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Meiling CHEN4 (3) Unit doublet function Linear system
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Meiling CHEN5 … Sampling Linear system
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Meiling CHEN6 (4) sign function (5) Unit ramp signal Linear system
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Meiling CHEN7 (6) parabolic signal (7) sinc signal Linear system
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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
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Meiling CHEN9 Periodic signals Even signals odd signals Linear system
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Meiling CHEN10 Causal signals Anticausal signals Linear system
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Meiling CHEN11 Causal and noncausal system Example: distinguish between causal and noncausal systems in the following: (1) Case I Noncausal system Linear system
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Meiling CHEN12 (2) Case II causal system Delay system (3) Case III causal system At present past Linear system
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Meiling CHEN13 (4) Case IV noncausal system At presentfuture (5) Case V noncausal system Linear system
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Meiling CHEN14 Signal operations Simple operation : ＋、－ Convolution : * Linear system
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Meiling CHEN15 simple operation Linear system
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Meiling CHEN16 Convolution Integral : Linear system …
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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
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Meiling CHEN18 Example : Graphical convolution (1) Linear system
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Meiling CHEN19 (2) (3) Linear system
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Meiling CHEN20 (4) (5) Linear system
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Meiling CHEN21 Linear system Ans:
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Meiling CHEN22 integral Algebra operator Laplace and convolution Linear system
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Meiling CHEN23 Example Linear system
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Meiling CHEN24 Linear system Hint:
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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)
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Meiling CHEN26 Laplace transform properties Linear system
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