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midtermb - EE 421 Fall 2010 - Midterm B Answer as many...

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EE 421 – Fall 2010 - Midterm B Answer as many questions as you can out of the following: 1) Consider the binary code composed of the 4 codewords: C 1 ={(0000000),(0110011),(1001100), (1111111)} Is this code linear? Which are its n 1 and k 1 values? What is its minimum distance d min1 ? Select a basis for C 1 and find its H and G matrices. Which are its correction capabilities t 1 and detection capability e 1 ? Which is the distance spectrum of the code? If the encoder for C 1 receives an input bit-rate of R in 370 kbit/s, which is the output bit-rate R out on the channel? Generate the associated extended code C 2 by adding one parity check equation to the H matrix containing only “ones”(and the corresponding column with all “zeros” and one “one”). Write the parity check matrix H ext of C 2 . Which are the n 2 and k 2 values for C 2 ? If the encoder for C 2 receives an input bit-rate of R in 370 kbit/s, which is the output bit-rate R out on the channel? What is its minimum distance d min2 of C 2 ? Find a possible basis for C 2 (combination of the rows of H ext and permutation of the columns are allowed, equivalent codes are allowed). Find the correction capability
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midtermb - EE 421 Fall 2010 - Midterm B Answer as many...

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