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 | |
| Publication status | Published - 2007 Jul 1 |
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All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences
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A note on low-correlation zone signal sets. / Gong, Guang; Golomb, Solomon W.; Song, Hong Yeop.
In: IEEE Transactions on Information Theory, Vol. 53, No. 7, 01.07.2007, p. 2575-2581.Research output: Contribution to journal › Article
TY - JOUR
T1 - A note on low-correlation zone signal sets
AU - Gong, Guang
AU - Golomb, Solomon W.
AU - Song, Hong Yeop
PY - 2007/7/1
Y1 - 2007/7/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=34447525443&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34447525443&partnerID=8YFLogxK
U2 - 10.1109/TIT.2007.899538
DO - 10.1109/TIT.2007.899538
M3 - Article
AN - SCOPUS:34447525443
VL - 53
SP - 2575
EP - 2581
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
SN - 0018-9448
IS - 7
ER -