Abstract
AbstractTrellis codes are a form of recording codes considered to have good compatibility with PRML systems, which are signal‐processing systems that are effective for digital magnetic recording. In this paper, trellis codes which are compatible with PR4 and EPR4 are constructed by a set partitioning method. The best trellis codes are constructed by defining a signal constellation on the basis of output symbols allowing a partial response scheme and by partially dividing sets on a multidimensional Euclidean space. It is shown that trellis codes having a coding rate of 9/10 and bundle lengths of 6 and 7 can be obtained for PR4 and EPR4 systems using Nyquist equalization, and that the SN ratios are improved by 2.4 and 2.3 dB for the existing 8/9 (0,4/4) codes for the PR4 system and 16/17 (0,6/6) codes for the EPR4 system at a bit error rate of 10–4. © 2001 Scripta Technica, Electron Comm Jpn Pt 2, 84(7): 58–65, 2001
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