Ask
Login
0
1.4kviews
For $g(P) = P^3 + P^2 + 1$. Design encoder, syndrome calculator and obtain syndrome for received codeword 1 0 0 1 0 1 1.
written 7.2 years ago by gravatar for teamques10 teamques10 ★ 65k modified 2.3 years ago by gravatar for pedsangini276 pedsangini276 • 4.8k

Mumbai University > Electronics and Telecommunication Engineering > Sem 6 > Data Communication

Marks: 10 Marks

Year: Dec 2016
digital communication
ADD COMMENT EDIT
1 Answer
0
9views
written 7.2 years ago by gravatar for teamques10 teamques10 ★ 65k

q = 3 Number of flip flop requaired q = 3

Number of gains = q + 1 = 2

General form of $G(P) =P^3 + g_2 P^2 + g_1p + 1$

$\therefore g_2 = 1, g_1 = 0$

Encoder using shift register:-

enter image description here

Syndrome Calculator:-

enter image description here

Received bits (Y) $S_0 = y \oplus s_2$ $S_1 = S_0$ $s_2 = s_1$
- 0 0 0
1 1 1 1
0 1 1 1
0 1 1 1
1 0 1 1
0 1 1 1
1 0 0 0
1 1 1 1
ADD COMMENT EDIT
Please log in to add an answer.