In Section 2.9.6, it was argued intuitively that

Y(e^j?) = H(e^j?) X(e^j?),

When Y(e^j?), H(e^j?), and X(e^j?) are, respectively, the Fourier transforms of the output y [n], impulse response h[n], and input x[n] of a linear time-invariant system; i.e., Verify Eq. (p2.75-1) by applying the Fourier transform to the convolution sum given in Eq. (p2.75-2).

Transcribed Image Text:

y[n] = *[k]h[n – k]. x[k]h[n - k=-00