The block diagram for a convolutional encoder is shown in Figure P8.12. 1. What is the number of…

The block diagram for a convolutional encoder is shown in Figure P8.12.

1. What is the number of states for this code?

2. Determine the transfer function T (Y, Z) for this code, and find its free distance.

3. How many paths at the free distance exist in this code?

4. Is this code catastrophic? Why?

5. Assuming that this code is used for transmission over a binary symmetric channel with a crossover probability of 10−4, find a bound on the bit error probability

 

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