An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symmetric periodic sequences. These non-periodic and periodic complementary sequences are identified to be special cases of non-periodic and periodic (or cyclic) orthogonal wavelet transforms. This relationship leads to the novel approach.
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Todor COOKLEV, Akinori NISHIHARA, "Analytic Constructions of Periodic and Non-periodic Complementary Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 11, pp. 3272-3282, November 2006, doi: 10.1093/ietfec/e89-a.11.3272.
Abstract: An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symmetric periodic sequences. These non-periodic and periodic complementary sequences are identified to be special cases of non-periodic and periodic (or cyclic) orthogonal wavelet transforms. This relationship leads to the novel approach.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.11.3272/_p
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@ARTICLE{e89-a_11_3272,
author={Todor COOKLEV, Akinori NISHIHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analytic Constructions of Periodic and Non-periodic Complementary Sequences},
year={2006},
volume={E89-A},
number={11},
pages={3272-3282},
abstract={An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symmetric periodic sequences. These non-periodic and periodic complementary sequences are identified to be special cases of non-periodic and periodic (or cyclic) orthogonal wavelet transforms. This relationship leads to the novel approach.},
keywords={},
doi={10.1093/ietfec/e89-a.11.3272},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Analytic Constructions of Periodic and Non-periodic Complementary Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3272
EP - 3282
AU - Todor COOKLEV
AU - Akinori NISHIHARA
PY - 2006
DO - 10.1093/ietfec/e89-a.11.3272
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2006
AB - An analytic approach for the generation of non-periodic and periodic complementary sequences is advanced for lengths that are powers of two. The periodic complementary sequences can be obtained using symmetric or anti-symmetric extensions. The properties of their autocorrelation functions are studied. The non-periodic complementary sequences are the intersection between anti-symmetric and symmetric periodic sequences. These non-periodic and periodic complementary sequences are identified to be special cases of non-periodic and periodic (or cyclic) orthogonal wavelet transforms. This relationship leads to the novel approach.
ER -