Concatenated codes for class IV partial response channels

We present the design and analysis of parallel and serial concatenated codes with iterative decoding for class IV partial response (PR4) signaling. Code rates of the form K/sub 0//(K/sub 0/+1), for K/sub 0/=4, 8, 16, 32, and 64, are considered. We show that the 1/(1/spl oplus/D/sup 2/) (Tomlinson) p...

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Bibliographic Details
Published in:IEEE transactions on communications 2001-03, Vol.49 (3), p.445-454
Main Author: Ryan, W.E.
Format: Article
Language:English
Subjects:
Bit error rate
Channels
Codes
Computer errors
Concatenated codes
Convolutional codes
Decoding
Degradation
Design engineering
Gaussian
Iterative decoding
Lower bounds
Noise levels
Partial response channels
Serials
Signal analysis
Signal design
Turbo codes
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Summary:We present the design and analysis of parallel and serial concatenated codes with iterative decoding for class IV partial response (PR4) signaling. Code rates of the form K/sub 0//(K/sub 0/+1), for K/sub 0/=4, 8, 16, 32, and 64, are considered. We show that the 1/(1/spl oplus/D/sup 2/) (Tomlinson) precoder, first proposed by Wolf and Ungerboeck (1991) for trellis coded PR4 channels, is effective for both parallel and serial concatenations, but the error-rate "floor" is relatively high for the serial case. This leads to new interleaver and precoder designs for serial concatenations, the latter involving an examination of the conditional distance enumerator of each precoded PR4 channel. The new precoders substantially reduce the floors of the serial concatenated codes, but degrade the performance of the parallel concatenated codes. For a bit-error rate of 10/sup -5/, the best parallel and serial concatenated codes come within 1.7 dB of a lower bound on the capacity limit for PR4 signaling on an additive white Gaussian noise channel.
ISSN:0090-6778
1558-0857
DOI:10.1109/26.911452