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Distance-enhancing codes for digital recording

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3 Author(s)
B. E. Moision ; Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA ; P. H. Siegel ; E. Soljauin

We review recent progress in the design of high-rate, distance-enhancing codes that achieve the matched-filter-bound (MFB) on the E2PR4 channel, h(D)=(1-D)(1+D)3, including a rate 8/9 block code satisfying a time-varying maximum-transition-run (TMTR) constraint. We then prove that these TMTR codes also achieve the MFB on the E3PR4 channel, h(D)=(1-D)(1+D)4. Finally, we describe a TMTR constraint that achieves the MFB on the PR2 channel, h(D)=(1+D)2, and the EPR2 channel, h(D)=(1+D)3 , both of which are of interest as channel models in optical recording, and we present a new, rate 3/4 block code that satisfies this constraint. Computer simulation results confirm that the codes provide substantial performance improvement in additive, white, Gaussian noise (AWGN)

Published in:

IEEE Transactions on Magnetics  (Volume:34 ,  Issue: 1 )