Maximum a Posteriori Decoding System Using an ARMA Process for a Partial Response Channel with Burst Errors

Conference: TURBO - CODING - 2006 - 4th International Symposium on Turbo Codes & Related Topics; 6th International ITG-Conference on Source and Channel Coding
04/03/2006 - 04/07/2006 at Munich, Germany

Proceedings: TURBO - CODING - 2006

Pages: 6Language: englishTyp: PDF

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Saito, Hidetoshi (Division of Electrical Engineering, Faculty of Engineering, Kogakuin University, 1-24-2 Nishi-Shinjuku, Shinjyuku, Tokyo, 163-8677 Japan)
Kohno, Ryuji (Division of Electrical and Computer Engineering, Faculty of Engineering, Yokohama National University, 79-5 Tokiwadai, Hodogaya, Yokohama, Kanagawa, 240-8501 Japan)

One of new idea of maximum a posteriori (MAP) decoding with an autoregressive and moving-average (ARMA) process is introduced into the iterative (recursive) decoding processes between MAP decoding and turbo or sum-product decoding in a perpendicular magnetic recording channel. In this paper, MAP decoding with linear prediction is called MAP-ARMA decoding. The estimation techniques based on multivariate time series analysis, stochastic models and processes are effective for burst errors or continuous erasures. It is shown that this estimation problem for missing data values (observations) is solved by maximum likelihood estimation for an ARMA process with missing values by using multivariate statistical techniques. For the given (4608,4097) low-density parity check (LDPC) coding system, the error rate performance using proposed channel predicting and MAP decoding systems in the channel with both a burst of length 70 or less and random errors attains the almost same performance of conventional MAP decoding in the channel with only random errors.