Compute the probability of a bit error


Response to the following:

Use the transfer function derived in Problem 1 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 1: A rate 1/2, K = 3, binary convolutional encoder is shown in Figure.

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

368_binary convolutional encoder.jpg

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