Unformatted text preview: [110] p 1 = rem [x 5 /1 + x 3 ] = 1 + x 2 [101] p 1 = rem [x 6 /1 + x 3 ] = 1 + x 3 [111] P4.8. Consider the rate r = ½ in the convolutional encoder shown below. Find the encoder output (Y 1 Y 2 ) produced by the message sequence 10111…Assume that the initial sequence state is zero. 01001 P4.18. Polynomial 1+ x 7 can be factored into three irreducible polynomials (1 + x )(1+x+x 3 ) (1+x 2 +x 3 ) with (1+x 2 +x 3 ) as primitive polynomials . Using 1 + x + x 3 as a generator polynomial, calculate the (7,4) cyclic code word for given message sequence 1010. Cp(x) = [x 5 + x 4 + x 3 /x 3 + x 2 + 1] = x...
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 Fall '11
 Zeng
 REM, Coding theory, Linear code, Darrin Wright

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