A signal x[n] is sample in discrete time as shown in Figure P7.46. is an ideal lowpass...

A signal x[n] is sample in discrete time as shown in Figure P7.46. is an ideal lowpass filter with frequency response

From eqs. (7.46) and (7.47), the filter output is expressible as

Where , shown that independent of whether the sequence x[n] is sampled above or below the Nyquist rate, where m is any positive or negative integer.