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The synthesis of magnetic recording trellis codes with good hamming distance properties

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1 Author(s)
Ferreira, H.C. ; Rand Afrikaans University, Johannesburg, South Africa

In this paper we present, by means of an example, a systematic procedure to synthesize combined modulation/error correcting trellis codes, suitable for Viterbi decoding. This synthesis is based on firstly selecting a suitable linear convolutional code, secondly by analysing the state system of this code to determine the important Hamming distance building properties, and finally by mapping a code with the desired restrictions on its sequences onto this state system. As an example we develop a R = 3/6 dc free (b,l,c) = (0,3,2) code with d_{\min} = 4 . This code improves on the best codes in [1]. Codes having b \geq 1 , and which will thus be more suitable for magnetic recording, can also be synthesized following the proposed procedure.

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Magnetics, IEEE Transactions on  (Volume:21 ,  Issue: 5 )