Linear Time-Invariant Systems (LTI) Superposition Convolution

Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System

Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System Causal

Linear Time-Invariant Systems (LTI) Superposition Convolution Causal System Causal

Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)?

Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)? Assume s(t)=0, t t 0. Let h(t)=s(t 0 -t)

Matched Filter Signal plus noise, recover the signal Can we choose h(t) to make y(t)=s(t)? Assume s(t)=0, t t 0. Let h(t)=s(t 0 -t)

Matched Filter Signal plus noise, recover the signal h(t)=s(t 0 -t)

Matched Filter Signal plus noise, recover the signal Assume s(t)=0, t t 0 Let h(t)=s(t 0 -t)

s(t)s(t 0 -t)

MATLAB simulation of Convolution

Example h(t) By inspection, y(t)=0, t<0 y(t)=0, t>2 t-1 t

Example h(t) By inspection, y(t)=0, t<0 y(t)=0, t>2 t-1 t for t=1,

Example h(t) By inspection, y(t)=0, t<0 y(t)=0, t>2 t-1 t