Consider the rate R = 2/3 convolutional encoding matrix and repeat Problem 2.11. Problem 2.11 Consider the rate R = 2/3 convolutional encoding matrix a) Find the syndrome former HT (D) and draw both...

Consider the rate R = 2/3 convolutional encoding matrix

and repeat Problem 2.11.

Problem 2.11

Consider the rate R = 2/3 convolutional encoding matrix

a) Find the syndrome former HT (D) and draw both its controller and observer canonical forms.

b) Find a systematic encoding matrix Gsys(D) equivalent to G(D) and draw its controller and observer canonical forms.

c) Find an encoding matrix for the convolutional dual code and draw its controller canonical form.

d) Find a right inverse to the encoding matrix in Problem 2.11(b) and draw its observer canonical form.