Power spectral density of PAM The low-pass equivalent representation of a PAM signal is ut X

Power spectral density of PAM The low-pass equivalent representation of a PAM signal is

uðtÞ ¼
X n Ingðt nTÞ:
Suppose g(t) is a rectangular pulse and In ¼ an an3;
where {an} is a sequence of uncorrelated binary-valued (1, 1) random variables that occur with equal probability.

(a) Determine the autocorrelation function of the sequence {In}.

(b) Determine the psd of u(t).

(c) Repeat

(b) if the possible values of the an are (0,2).

Transcribed Image Text:

010 011 001 000 100 101 111 110 Mirror image except for sign bit Figure 6.21 Gray-coded 8-PAM.