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Line coding - NTNU

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De<strong>coding</strong> of partial response<br />

? c k - c k-1 <br />

c k - c k-1 <br />

c k - c k-1 <br />

c k-1 <br />

c k-1 <br />

Digital Communication, <strong>Line</strong> codes and scrambling<br />

IET, <strong>NTNU</strong><br />

27<br />

Pre<strong>coding</strong> of partial response (duobinary)<br />

Precoder<br />

Convert to<br />

bipolar<br />

b k = 0,1 d k = 0,1<br />

<br />

0 to -1<br />

c k = ±1 a k ˆ<br />

+<br />

1 to +1<br />

z -1 z -1<br />

Digital Communication, <strong>Line</strong> codes and scrambling<br />

Duobinary <br />

<strong>coding</strong><br />

b k<br />

= 0 d k<br />

= d k1<br />

c k<br />

= c k1<br />

a k<br />

= c k<br />

+ c k1<br />

=±2 b ˆ<br />

k<br />

= 0<br />

b k<br />

=1 d k<br />

d k1<br />

c k<br />

c k1<br />

a k<br />

= c k<br />

+ c k1<br />

= 0 b ˆ<br />

k<br />

=1<br />

3-level<br />

decision<br />

De<strong>coding</strong> depends only on current received signal sample ):<br />

no error propagation.<br />

Pre<strong>coding</strong> may be used also for modified duobinary and dicode.<br />

IET, <strong>NTNU</strong><br />

b k<br />

28

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