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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 7.8 years ago by teamques10 ★ 69k

modified 2.9 years ago by pedsangini276 • 4.8k

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

Marks: 10 Marks

Year: Dec 2016

digital communication

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written 7.8 years ago by teamques10 ★ 69k

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:-

Syndrome Calculator:-

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

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