7.4. Consider the 7-bit Barker code, designated by the sequence . (a)

Compute and plot the autocorrelation of this code.

(b) A radar uses binary phase coded pulses of the form , where

, , and

. Assume .

(a) Give an expression for the autocorrelation of the signal , and for the output of the matched filter when the input is ;

(b) compute the time bandwidth product, the increase in the peak SNR, and the compression ratio.