Suppose that y[n] is the output of linear time-invariant FIR system with input x[n]; i.e.,

(a) Obtain a relationship between the time-dependent Fourier transform Y[n, ?) of the output of the linear system and the time-dependent Fourier transform X[n, ?) of the input.

(b) Show that if the window is long compared to M, then?

Y[n, ?) ? H(e^j?)X[n, ?),

Where H(e^j?) is the frequency response of the linear system.

Transcribed Image Text:

y[n] = h[k]x{n- k].