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Channel Coding Part II - Digital Communication Chapter 6 & 7 - Unik

Channel Coding Part II - Digital Communication Chapter 6 & 7 - Unik

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Hamming distance and weight<br />

<strong>Channel</strong> <strong>Coding</strong><br />

<strong>Part</strong> <strong>II</strong><br />

Ola Jetlund<br />

◮ Hamming weight: w(U i ) = the number of non-zero<br />

elements in U i .<br />

◮ Hamming distance: d(U i , U j ) = w(U i ⊕ U j )<br />

◮ Minimum distance:<br />

Introduction<br />

Linear Block Codes<br />

Hamming<br />

Convolutional Codes<br />

Example<br />

Decoding<br />

Decisions<br />

Viterbi<br />

d min = min d(U i , U j ) = min w(U i )<br />

i≠j<br />

i

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