IEICE TRANSACTIONS on Fundamentals
Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences
Summary :
For various applications in image, communications and signal processing, two-dimensional (2-D) generalized orthogonal (GO) sequences, that is, 2-D sequences with zero correlation zone (ZCZ) and 2-D complementary orthogonal (CO) sequences with ZCZ, are widely investigated. New lower bounds for 2-D GO sequences, based on matrix theory on rank, are derived and presented, some examples that attain these lower bounds are given. As a direct application to our results, upper bound on family size of 2-D mutually complementary orthogonal (MCO) codes defined by Luke [9] is proposed.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.4 pp.1140-1144
- Publication Date
- 2006/04/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e89-a.4.1140
- Type of Manuscript
- LETTER
- Category
- Information Theory
Authors
Keyword
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Fanxin ZENG, Zhenyu ZHANG, Lijia GE, "Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 4, pp. 1140-1144, April 2006, doi: 10.1093/ietfec/e89-a.4.1140.
Abstract: For various applications in image, communications and signal processing, two-dimensional (2-D) generalized orthogonal (GO) sequences, that is, 2-D sequences with zero correlation zone (ZCZ) and 2-D complementary orthogonal (CO) sequences with ZCZ, are widely investigated. New lower bounds for 2-D GO sequences, based on matrix theory on rank, are derived and presented, some examples that attain these lower bounds are given. As a direct application to our results, upper bound on family size of 2-D mutually complementary orthogonal (MCO) codes defined by Luke [9] is proposed.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.4.1140/_p
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@ARTICLE{e89-a_4_1140,
author={Fanxin ZENG, Zhenyu ZHANG, Lijia GE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences},
year={2006},
volume={E89-A},
number={4},
pages={1140-1144},
abstract={For various applications in image, communications and signal processing, two-dimensional (2-D) generalized orthogonal (GO) sequences, that is, 2-D sequences with zero correlation zone (ZCZ) and 2-D complementary orthogonal (CO) sequences with ZCZ, are widely investigated. New lower bounds for 2-D GO sequences, based on matrix theory on rank, are derived and presented, some examples that attain these lower bounds are given. As a direct application to our results, upper bound on family size of 2-D mutually complementary orthogonal (MCO) codes defined by Luke [9] is proposed.},
keywords={},
doi={10.1093/ietfec/e89-a.4.1140},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Lower Bounds on Two-Dimensional Generalized Orthogonal Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1140
EP - 1144
AU - Fanxin ZENG
AU - Zhenyu ZHANG
AU - Lijia GE
PY - 2006
DO - 10.1093/ietfec/e89-a.4.1140
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2006
AB - For various applications in image, communications and signal processing, two-dimensional (2-D) generalized orthogonal (GO) sequences, that is, 2-D sequences with zero correlation zone (ZCZ) and 2-D complementary orthogonal (CO) sequences with ZCZ, are widely investigated. New lower bounds for 2-D GO sequences, based on matrix theory on rank, are derived and presented, some examples that attain these lower bounds are given. As a direct application to our results, upper bound on family size of 2-D mutually complementary orthogonal (MCO) codes defined by Luke [9] is proposed.
ER -
English
