Applications of multirate filter banks in error correction codes: partial response channels

Xiang-Gen Xia

doi:10.1117/12.236019

22 March 1996 Applications of multirate filter banks in error correction codes: partial response channels

Xiang-Gen Xia

Proceedings Volume 2762, Wavelet Applications III; (1996) https://doi.org/10.1117/12.236019
Event: Aerospace/Defense Sensing and Controls, 1996, Orlando, FL, United States

Abstract

Both filterbank theory and error correction codes have been studied extensively during recent decades. In this paper, we first build a bridge between these two theories. We restate some results in error correction coding theory by using filterbank terminologies over finite fields. We then apply filterbank theory to error correction codes for partial response channels (PRC), such as magnetic recording systems. We present necessary and sufficient conditions for uniquely decodable convolutional codes for PRC. We also extend the results to multihead and multitrack recording systems. Examples of uniquely decodable codes are given. With these conditions one is able to check whether a convolutional code in a PRC is uniquely decodable.

Citation Download Citation

Xiang-Gen Xia "Applications of multirate filter banks in error correction codes: partial response channels", Proc. SPIE 2762, Wavelet Applications III, (22 March 1996); https://doi.org/10.1117/12.236019

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