Problem
1. Compute the autocorrelation of a sequence generated from a memory-7 shift register with several randomly selected sets of feedback taps. How do the autocorrelation results compare with m-sequence correlations.
2. The length of an m-sequence is 2'n -1, which is often a prime number. Pow. en of two frequently simplify computations, compared with prime numbers. Suppose a zero is added to the m-sequence to include the subsequence of m zeros; this lengthens the sequence to a power of 2 and also balances the number of zeros and ones. What are the autocorrelation properties of the resulting sequence? How does the new sequence compare with the original in. sequence and with a Gold sequence of the same length? Repeat the problem for m = 7 and m = 9.