Consider the 7-bit Barker code, designated by the sequence x(n).

(a) Compute and plot the autocorrelation of this code.

(b) A radar uses binary phase-coded pulses of the form s(t) = r

(f) cos(2nfot). where r(t) = x(0), for 0 7At.

Assume At 0.5s. Give an expression for the autocorrelation of the signal s(t), and for the output of the matched filter when the input is s(t-10At).

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