Abstract

A TMTR code is specified as (k evne 1 = 2, k odd 1 = 3, k) constraint. In this work, an approach for constructing (k even 1 = 2, k odd 1 = 3, k) codes is presented. Based on this construction, a rate 8/9 code with k=7 is found. This code can achieve better timing recovery performance compared to the proposed previously TMTR code with k= 11. An enumerating encoder and decoder exist for constructed (k even 1 = 2, k odd 1 = 3, k) codes. A look-up table for the encoder/decoder is not required. Simulation results on an E 2 PRIV recording channel reveal that the TMTR code provides 2.2 dB gain over an uncoded case.

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