5) Below is a convolutional encoder

5) Below is a convolutional encoder.

a. Draw the state diagram and a trellis section of the encoder. Make sure to label the transitions

b. Suppose the sampled output of the receiver matched filter is below. Start in the all zero state, end by adding 0’s until the state goes back to 00. Use hard decision decoding:

Output: {0.8, 1.2, 0.9, 0.6, 0.7, 0.2, 0.8, 0.9, 0.7, 0.6, 0.3, 0.8}

Sketch the decision regions for communication scheme with the following signal constellations

(1,5,10)           

R₁      R₂

(4,12)

R₁        R₂

M=16