HW10 - COMMUNICATIONSYSTEMEECB353 Chapter7PartIII...

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Homework 10 Problem 1 Consider a system with 3 CDMA users. a. Use a coin to generate a random sequence of length 32 for each of the 3 users. b. Find the correlation of the sequence of the first user with itself (answer: 32) and with each of the other two users (call that 1 N and 2 N ). Also, find the value of 2 1 N N + . c. If the first user sent 1, he would receive a value 2 1 N N N Y + + = ? If instead he sent -1, he would have received instead 2 1 N N N Y + + - = . Suppose in the above experiment, he sent 1. What would be a reasonable way to decide if 1 or -1 was sent? In your experiment, would he have made an error in deciding? d. In general, we may have K users and each user uses a random sequence of length N as its CDMA code. It can be shown that the correlations of the first sequence with any one of the K-1 other sequences is a sum of N Bernoulli random variables (values = 1 or -1 with equal probability of ½). Therefore the correlation of the first sequence with any other sequence has mean zero and variance
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This note was uploaded on 11/01/2009 for the course EEE 455 taught by Professor Hui during the Spring '09 term at ASU.

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HW10 - COMMUNICATIONSYSTEMEECB353 Chapter7PartIII...

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