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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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Linear Block Codes (n, k), I<br />

<strong>Coding</strong> is a mapping from one space to another:<br />

mapping<br />

e<br />

U r<br />

m G H T s<br />

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

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

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

Ola Jetlund<br />

Introduction<br />

Linear Block Codes<br />

Hamming<br />

Convolutional Codes<br />

Example<br />

Decoding<br />

Decisions<br />

Viterbi<br />

Data block<br />

Codeword<br />

k bits<br />

n bits<br />

s = r · H T r = U + e U = m · G G · H T = 0<br />

s = r · H T = (U + e) · H T = (m · G + e) · H T m · G · H T + e · H T<br />

= m · 0 + e · H T = 0 + e · H T = e · H T .

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