midterm2

# midterm2 - EE 5501 Digital Communication Midterm 2 Prof N...

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EE 5501 Prof. N. Jindal Digital Communication Nov. 24, 2009 Midterm 2 1. Consider the R = 1 / 2 binary convolutional code with memory 2 that outputs the following two bits for each information bit: u [ k ] + u [ k - 1] + u [ k - 2] u [ k ] (a) Label the branches in the trellis diagram. (10 pts) (b) Compute d free for this code. Find all error events at d free and indicate them on the extended trellis (below). For each error event at d free , write down the corresponding input sequence, output sequence, and input weight. (10 pts) (c) Write down the expression for the nearest neighbor approximation. (10 pts) (d) On the following page you are given the Matlab code for the Viterbi decoder for the [7 , 5] (nonrecursive & nonsystematic) convolutional code that we studied in class. Modify the Matlab code so that it implements the Viterbi decoder for the convolutional code in this problem. The code is terminated in state 00 by setting two additional information bits to zero.

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• Fall '08
• LOPS
• pts, Error detection and correction, information bit, Viterbi algorithm, Convolutional code, binary convolutional code

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