Determine the free distance of code


Solve the following problem:

The block diagram for a convolutional code is given in Figure.

1619_diagram for a convolutional code.jpg

1. Draw the state transition diagram for this code.

2. Is this code catastrophic? Why?

3. What is the transfer function for this code?

4. What is the free distance of this code?

5. Assuming that this code is used for binary data transmission over a binary symmetric channel with crossover probability of 10-3, find a bound on the resulting bit error probability.

 

 

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