NDLI: Optimal Interleaving Schemes for 2-D Arrays

Content Provider	IEEE Xplore Digital Library
Author	Golomb, S.W. Mena, R. Wen-Qing Xu
Copyright Year	2006
Description	Author affiliation: Dept. of Electr. Eng., Univ. of Southern California, Los Angeles, CA (Golomb, S.W.)
Abstract	Given an m times n array of k single random error correction (or erasure) codewords, each having length l such that mn = kl, we construct optimal interleaving schemes that provide the maximum burst error correction power such that an arbitrarily shaped error burst of size t can be corrected for the largest possible value of t. We show that for all such m times n arrays, the maximum possible interleaving distance, or equivalently, the largest value of t such that an arbitrary error burst of size up to t can be corrected, is bounded by lfloorradic2krfloor if k les lceil(min{m, $n\\^})^{2}/2rceil,$ and by min{m, n} + lfloor(k - lceil(min{m, $n\\^})^{2}/2rceil)$ / min{m, n}rfloor if k ges lceil(min{m, $n\\^})^{2}/2rceil.$ We generalize the cyclic shifting algorithm developed by the authors in a previous paper and construct, in several special cases, optimal interleaving arrays achieving these upper bounds
Starting Page	540
Ending Page	543
File Size	151184
Page Count	4
File Format	PDF
ISBN	1424400678
DOI	10.1109/ITW2.2006.323691
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-10-22
Publisher Place	Uruguay
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Upper bound Shape Conferences Clustering algorithms Lattices Interleaved codes Mathematics Error correction codes Error correction Information theory
Content Type	Text
Resource Type	Article

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