1. The transform-domain generator matrix of an RSC encoder includes ratios of polynomials in the delay variable D, whereas, in the case of a nonrecursive convolutional encoder is simply a polynomial in D. Justify the for these two cases.

2. Consider an eight-state RSC encoder, the generator matrix of which is given by

where D is the delay variable.

a. Construct the block diagram of this encoder.

b. Formulate the parity-check equation that embodies all the message as well as parity-check bits in the time domain.