HW7 - capability of the code c A binary source of rate R...

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1 EE 7615 Problem Set # 7 Due: 12,03,2010 1) Please attempt each problem on a new page. 2) Show all your work clearly. 1) Problem 7.13 of the textbook on page 484. 2) Problem 7.31 of the textbook on page 485. 3) Problem 7.32 of the textbook on page 487. 4) Let C be a binary linear block code with both odd and even weight codewords. Show that the number of even-weight codewords is equal to the number of odd-weight codewords. (Zero is considered to be an even number.) 5) Consider a linear block code with the following parity check matrix. H = 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 a) Determine the input block length, the output blocklength and the code rate. b) Determine the minimum distance d min and the error correcting and the error detecting
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Unformatted text preview: capability of the code. c) A binary source of rate R bits/sec. is transmitted across an AWGN channel with power spectral density S N w ( f ) = N / 2 , using a binary coded communication system with the above code and a BFSK coherent modulation scheme. The transmitted power is P . i) Diagram a complete communication system which uses the code and which has an optimum hard decision receiver. Be sure to indicate the function of every component and identify all the parameters. ii) Find R b W . iii) Find an exact expression or an upper bound for the bit error probability P b ( E ) ....
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