The Bartlett method is used to estimate the power spectrum of a signal x(n). We know that the power spectrum consists of a single peak with a 3-dB bandwidth of 0.01 cycle per sample, but we do not know the location of the peak.

(a) Assuming that N is large, determine the value of M = N/K so that the spectral window is narrower than the peak.

(b) Explain why it is not advantageous to increase M beyond the value obtained in part (a).