Show that the periodogram values at frequencies f , given by (14.1.41) can be computed b...

Show that the periodogram values at frequencies f , given by (14.1.41) can be computed by passing the sequence through a bank of N IIR filters, where each filter has an impulse response

and then compute the magnitude-squared value of the filter outputs at n = N. Note that each filter has a pole on the unit circle at the frequency .f_k