HW6 - 1 EE 7615 Problem Set # 6 Due: 11,18,11 1) A...

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Unformatted text preview: 1 EE 7615 Problem Set # 6 Due: 11,18,11 1) A communication system uses the signal set shown below in order to transmit equiprobable binary messages across an AWGN channel. s ( t ) = radicalBigg 2 E T cos(2 f t ) , t T s 1 ( t ) = radicalBigg 2 E T cos(2 f t + 2 h t T ) , t T Assume that f >> 1 and T , h and E are parameters. a) Draw the block diagram of an optimum receiver. Make sure you specify the function of each block. b) Evaluate the performance of the system. (Signal to noise ratio needed to get P b ( E ) = 10 5 and the bandwidth requirement.) c) Assuming that all other parameters are fixed, find the parameter h which minimizes the error probability. (An approximate answer suffices here.) 2) Three signals s ( t ) ,s 1 ( t ) and s 2 ( t ) are plotted below. It is given that integraldisplay 2 s 2 ( t ) dt = 1 and integraldisplay 2 s 2 2 ( t ) dt = . 8 . a) The signal set S = { s ( t ) ,s 1 ( t ) } is used to transmit one of two equally likely messages across an additive white Gaussian noise (AWGN) channel with noise power...
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HW6 - 1 EE 7615 Problem Set # 6 Due: 11,18,11 1) A...

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