A note on low-correlation zone signal sets

Guang Gong; Solomon W. Golomb; Hong Yeop Song

doi:10.1109/TIT.2007.899538

A note on low-correlation zone signal sets

Guang Gong, Solomon W. Golomb, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

Abstract

In this correspondence, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and "completely noncyclic" Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.

Original language	English
Pages (from-to)	2575-2581
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	53
Issue number	7
DOIs	https://doi.org/10.1109/TIT.2007.899538
Publication status	Published - 2007 Jul

Bibliographical note

Funding Information:
Manuscript received February 25, 2006; revised September 14, 2006. The work of H.-Y. Song was supported by the Basic Research Program of the Korea Science & Engineering Foundation under Grant (R01-2003-000-10330-0). The material in this correspondence was presented in part at the 2006 Conference of Information Sciences and Systems, Princeton University, Princeton, NJ, March 2006.

All Science Journal Classification (ASJC) codes

Information Systems
Computer Science Applications
Library and Information Sciences

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author = "Guang Gong and Golomb, {Solomon W.} and Song, {Hong Yeop}",

note = "Funding Information: Manuscript received February 25, 2006; revised September 14, 2006. The work of H.-Y. Song was supported by the Basic Research Program of the Korea Science & Engineering Foundation under Grant (R01-2003-000-10330-0). The material in this correspondence was presented in part at the 2006 Conference of Information Sciences and Systems, Princeton University, Princeton, NJ, March 2006.",

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