Determine whether this code is catastrophic

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Use the transfer function derived in Problem 8.8 for the Rc = 1/2, K = 3, convolutional code to compute the probability of a bit error for an AWGN channel with

a. Hard-decision decoding

b. Soft-decision decoding Compare the performance by plotting the results of the computation on the same graph.

Problem 8.8

A rate 1/2, K = 3, binary convolutional encoder is shown in Figure P8.8.

1. Draw the tree diagram, the trellis diagram, and the state diagram.

2. Determine the transfer function T (Y, Z, J ), and from this, specify the minimum free distance.

3. Determine the RSCC equivalent to this code, and sketch a block diagram of it.

4. Determine whether this code is catastrophic

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Reference no: EM131268579

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