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EE567-HW3

# EE567-HW3 - EE 567 Homework Set#3 Due Date Friday September...

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EE 567 Homework Set #3 Due Date: Friday, September 25 @ 5:00p in EE 567 drop box near EEB 104 Text: Modern Digital and Analog Communication Systems Problems: Problem 8.1-6 Problem 8.1-7 Problem 8.1-14 Problem 8.1-16 Problem 8.2-10 Problem 8.6-1 Problem 9.1-5 Problem 9.2-3 Problem 9.3-3 Problem 9.4-2 Problem 9.7-2 Computer Problems: Problem 1: Autocorrelation Function and Power Spectrum The objective of this problem is to compute the autocorrelation and the power spectrum of a sequence of random variables. 1. Generate a discrete-time sequence x n of N = 1000 statistically independent and identically distributed random variables, which are selected from a uniform distribution over the interval (-1/2, 1/2). The estimate of the autocorrelation of the sequence x n is defined as ܴ ሺ݉ሻ ൌ ە ۖ ۔ ۖ ۓ 1 ܰ െ ݉ ෍ ݔ ݔ ௡ା௠ , ݉ ൌ 0,1, … ܯ ேି௠ ௡ୀଵ 1 ܰ െ |݉| ෍ ݔ ݔ ௡ା௠ , ݉ ൌ െ1, െ2, … െ ܯ ௡ୀ|௠| ܵ ሺ݂ሻ ൌ ܴ ሺ݉ሻ ௠ୀିெ ݁ ି ௝ଶగ௙௠

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EE567-HW3 - EE 567 Homework Set#3 Due Date Friday September...

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