Consider the encoding matrix in Problem 2.3. Find the correspondence between the encoder and abstract states. Problem 2.3 Draw the encoder block diagram for the controller canonical form of the...

Consider the encoding matrix in Problem 2.3. Find the correspondence between the encoder and abstract states.

Problem 2.3

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