Download presentation
Presentation is loading. Please wait.
1
16.362 Signal and System I The representation of discrete-time signals in terms of impulse Example
2
16.362 Signal and System I The representation of discrete-time signals in terms of impulse Convolution
3
16.362 Signal and System I The representation of continuous-time signals in terms of impulse Properties of LIT systems Commutative property Distributive property
4
16.362 Signal and System I Properties of LIT systems Associative property Causality for t<0. for n<0. Stability
5
16.362 Signal and System I The unit step response of an LTI system
6
16.362 Signal and System I The unit step response of an LTI system
7
16.362 Signal and System I The unit step response of an LTI system
8
16.362 Signal and System I Linear constant-coefficient difference equations depends on x[n].We don’t know y[n] unless x[n] is given. But h[n] doesn’t depend on x[n]. We should be able to obtain h[n] without x[n]. How? Discrete Fourier transform, --- Ch. 5. LTI system response properties, this chapter. + delay
![Signal and System I Linear constant-coefficient difference equations depends on x[n].We don’t know y[n] unless x[n] is given.](http://images.slideplayer.com/29/9453320/slides/slide_8.jpg "But h[n] doesn’t depend on x[n]. We should be able to obtain h[n] without x[n]. How. Discrete Fourier transform, --- Ch. 5. LTI system response properties, this chapter. + delay.")
9
16.362 Signal and System I Linear constant-coefficient difference equations When n 1, Causality + delay
10
16.362 Signal and System I Linear constant-coefficient difference equations + delay Determine A by initial condition: When n = 0, A = 1
11
16.362 Signal and System I Linear constant-coefficient difference equations Two ways: (1) Repeat the procedure (2) + delay
12
16.362 Signal and System I The unit step response of an LTI system, continuous time
13
16.362 Signal and System I Linear constant-coefficient difference equations depends on x(t).We don’t know y(t) unless x(t) is given. But h(t) doesn’t depend on x(t). We should be able to obtain h(t) without x(t). How? Continuous time Fourier transform. LTI system response properties, this chapter. +
14
16.362 Signal and System I Linear constant-coefficient difference equations When t>0, Determine A by initial condition: Causality +
15
16.362 Signal and System I Linear constant-coefficient difference equations Determine A by initial condition: A = 1 +
16
16.362 Signal and System I Linear constant-coefficient difference equations +
17
16.362 Signal and System I Singularity functions Define:
18
16.362 Signal and System I Singularity functions
19
16.362 Signal and System I Singularity functions k terms
20
16.362 Signal and System I Singularity functions
21
16.362 Signal and System I Singularity functions --- discrete time Define:
22
16.362 Signal and System I Singularity functions --- discrete time Define:
Similar presentations
