Question: PN sequence statistical properties For the feedback shift register given in Problem 6.23, two properties can be demonstrated. (a) The balance property states the number

PN sequence statistical properties For the feedback shift register given in Problem 6.23, two properties can be demonstrated.

(a) The balance property states the number by which the number of 1s exceeds the number of 0s. Determine this number for Problem6.23.

(b) A subsequence of identical symbols (1s or 0s) within one period of the sequence is called a run.Among the runs of 1s and 0s in each period of a maximum-length sequence, the run property states the fractions of runs of each kind of length one, length two, length three, and so on as long as these fractions represent meaningful numbers of runs. The fractions can be expressed as a function of the length of the runs. Determine this relationship from the runs of 1s and 0s for Problem6.23 considering only runs up to a length of three.

(c) Calculate and plot the autocorrelation function of the PN sequence produced by this shift register.

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