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
