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ITT650hw4

# ITT650hw4 - [110 p 1 = rem[x 5/1 x 3 = 1 x 2[101 p 1 =...

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Darrin Wright Due: September 25, 2011 P4.3. What is the main idea behind channel coding? Does it improve the performance of mobile communication? The main idea is to enhance reception of radio signals at the transmitter side and the receiver receives the encoded data. Yes it does improve mobile communications on both ends. P4.4. If the code generator polynomial is g(x) = 1+ x 2 for a (5,3) code, find the linear block code generator matrix. p 1 = rem [x 2 /1+ x 2 ] = 1 [001] p 2 = rem [x 3 /1+ x 2 ] =1 + x [110] p 3 = rem [x 4 /1+ x 2 ] =1 + x 2 [101] P4.7. Repeat the problem P4.6 if g(x) = 1 + x 3 for a (7,4) code. p 1 = rem [x 3 /1 + x 3 ] = 1 p 1 = rem [x 4 /1 + x 3 ] = 1 + x
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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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