Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter...
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Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter sends bits over the channel, denoted by random variable X, that are either 0 or 1. The receiver receives bits, denoted by random variable Y, again either 0 or 1. Based on the received bit, the receiver makes a guess or estimates what the transmitted bit must have been, denoted by random variable . Let r be the probability that bit 0 is sent by the transmitter. Therefore, r = = P[X = 0] The channel in this case is described by the probability that a transmitted bit is received as is and the probability that it gets flipped. Let p be the probability that the received bit is the same as the transmitted bit. Therefore, p = P[Y = 0|X = 0] = P[Y = 1|X = 1]. The error probability is defined as P[e] = P[ X]. (a) Write a MATLAB function Y = channel(X, p) that takes a vector of trans- mitted bits X and p as input and returns the vector of received bits Y. Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter sends bits over the channel, denoted by random variable X, that are either 0 or 1. The receiver receives bits, denoted by random variable Y, again either 0 or 1. Based on the received bit, the receiver makes a guess or estimates what the transmitted bit must have been, denoted by random variable . Let r be the probability that bit 0 is sent by the transmitter. Therefore, r = = P[X = 0] The channel in this case is described by the probability that a transmitted bit is received as is and the probability that it gets flipped. Let p be the probability that the received bit is the same as the transmitted bit. Therefore, p = P[Y = 0|X = 0] = P[Y = 1|X = 1]. The error probability is defined as P[e] = P[ X]. (a) Write a MATLAB function Y = channel(X, p) that takes a vector of trans- mitted bits X and p as input and returns the vector of received bits Y.
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Related Book For
Finite Mathematics And Its Applications
ISBN: 9780137616619
13th Edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel , Jill Simmons
Posted Date:
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