In Section 2.9.6, it was argued intuitively that when Y (ejω), H(ejω), and X (e...

In Section 2.9.6, it was argued intuitively that

when Y (e^jω), H(e^jω), and X (e^jω) are, respectively, the Fourier transforms of the output y[n], impulse response h[n], and input x[n] of an LTI system; i.e.,

Verify Eq. (P2.82-1) by applying the Fourier transform to the convolution sum given in Eq. (P2.82-2).