Draw the encoder block diagram for the controller canonical form of the encoding matrix and repeat Problem 2.1. Problem 2.1 Consider the rate R = 1/2 convolutional encoder illustrated in Fig. 2.27. a)...

Draw the encoder block diagram for the controller canonical form of the encoding matrix

and repeat Problem 2.1.

Problem 2.1

Consider the rate R = 1/2 convolutional encoder illustrated in Fig. 2.27.

a) Find the generator matrix G(D).

b) Let G(D) = A(D)Γ(D)B(D). Find A(D), Γ(D), and B(D).

c) Find G0 (D), where G0 (D) is the first b rows in B(D).

d) Is G0 (D) minimal? If not, find a minimal encoding matrix Gmin(D) equivalent to G0 (D).

Fig. 2.27