Signal and System I The representation of discrete-time signals in terms of impulse Example
Signal and System I The representation of discrete-time signals in terms of impulse Convolution
Signal and System I The representation of continuous-time signals in terms of impulse Properties of LIT systems Commutative property Distributive property
Signal and System I Properties of LIT systems Associative property Causality for t<0. for n<0. Stability
Signal and System I The unit step response of an LTI system
Signal and System I The unit step response of an LTI system
Signal and System I The unit step response of an LTI system
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 When n 1, Causality + delay
Signal and System I Linear constant-coefficient difference equations + delay Determine A by initial condition: When n = 0, A = 1
Signal and System I Linear constant-coefficient difference equations Two ways: (1) Repeat the procedure (2) + delay
Signal and System I The unit step response of an LTI system, continuous time
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. +
Signal and System I Linear constant-coefficient difference equations When t>0, Determine A by initial condition: Causality +
Signal and System I Linear constant-coefficient difference equations Determine A by initial condition: A = 1 +
Signal and System I Linear constant-coefficient difference equations +
Signal and System I Singularity functions Define:
Signal and System I Singularity functions
Signal and System I Singularity functions k terms
Signal and System I Singularity functions
Signal and System I Singularity functions --- discrete time Define:
Signal and System I Singularity functions --- discrete time Define: