Solve the following problem:
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.
