Two-Dimensional Low-Pass Filtering Codes

Copyright [©] (1998) by IEEE. Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distrubuted for profit. To copy otherwise, to republish, to post on servers, or to redistribute to lists, requires prior specific permission and/or a fee.

This note details a method for encoding arbitrary data sequences into two-dimensional arrays that satisfy certain constraints. Specifically, we outline a framework for constructing such codes, and we exhibit some codes that produce arrays with limited high spatial frequency content. These codes are useful for channels where high spatial frequencies of data may be distorted -- causing a smearing effect -- such as in a holographic recording system. We also make some general observations about encoding into two-dimensional constraints.

By: Jonathan J. Ashley and Brian H. Marcus

Published in: IEEE Transactions On Communications, volume 46, (no 6), pages 724-7 in 1998

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