Weyl Spreading Sequence Optimizing CDMA

Hirofumi TSUDA; Ken UMENO

doi:10.1587/transcom.2017EBP3139

Weyl Spreading Sequence Optimizing CDMA

Hirofumi TSUDA, Ken UMENO

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This paper shows an optimal spreading sequence in the Weyl sequence class, which is similar to the set of the Oppermann sequences for asynchronous CDMA systems. Sequences in Weyl sequence class have the desired property that the order of cross-correlation is low. Therefore, sequences in the Weyl sequence class are expected to minimize the inter-symbol interference. We evaluate the upper bound of cross-correlation and odd cross-correlation of spreading sequences in the Weyl sequence class and construct the optimization problem: minimize the upper bound of the absolute values of cross-correlation and odd cross-correlation. Since our optimization problem is convex, we can derive the optimal spreading sequences as the global solution of the problem. We show their signal to interference plus noise ratio (SINR) in a special case. From this result, we propose how the initial elements are assigned, that is, how spreading sequences are assigned to each users. In an asynchronous CDMA system, we also numerically compare our spreading sequences with other ones, the Gold codes, the Oppermann sequences, the optimal Chebyshev spreading sequences and the SP sequences in Bit Error Rate. Our spreading sequence, which yields the global solution, has the highest performance among the other spreading sequences tested.

Publication: IEICE TRANSACTIONS on Communications Vol.E101-B No.3 pp.897-908

Publication Date: 2018/03/01

Publicized: 2017/09/11

Online ISSN: 1745-1345

DOI: 10.1587/transcom.2017EBP3139

Type of Manuscript: PAPER

Category: Wireless Communication Technologies

Authors

Hirofumi TSUDA
the Kyoto University
Ken UMENO
the Kyoto University

Keyword

asynchronous CDMA, nonlinear programming, spreading sequence, signal to interference plus noise ratio, bit error rate

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Hirofumi TSUDA, Ken UMENO, "Weyl Spreading Sequence Optimizing CDMA" in IEICE TRANSACTIONS on Communications, vol. E101-B, no. 3, pp. 897-908, March 2018, doi: 10.1587/transcom.2017EBP3139.
Abstract: This paper shows an optimal spreading sequence in the Weyl sequence class, which is similar to the set of the Oppermann sequences for asynchronous CDMA systems. Sequences in Weyl sequence class have the desired property that the order of cross-correlation is low. Therefore, sequences in the Weyl sequence class are expected to minimize the inter-symbol interference. We evaluate the upper bound of cross-correlation and odd cross-correlation of spreading sequences in the Weyl sequence class and construct the optimization problem: minimize the upper bound of the absolute values of cross-correlation and odd cross-correlation. Since our optimization problem is convex, we can derive the optimal spreading sequences as the global solution of the problem. We show their signal to interference plus noise ratio (SINR) in a special case. From this result, we propose how the initial elements are assigned, that is, how spreading sequences are assigned to each users. In an asynchronous CDMA system, we also numerically compare our spreading sequences with other ones, the Gold codes, the Oppermann sequences, the optimal Chebyshev spreading sequences and the SP sequences in Bit Error Rate. Our spreading sequence, which yields the global solution, has the highest performance among the other spreading sequences tested.
URL: https://globals.ieice.org/en_transactions/communications/10.1587/transcom.2017EBP3139/_p

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@ARTICLE{e101-b_3_897,
author={Hirofumi TSUDA, Ken UMENO, },
journal={IEICE TRANSACTIONS on Communications},
title={Weyl Spreading Sequence Optimizing CDMA},
year={2018},
volume={E101-B},
number={3},
pages={897-908},
abstract={This paper shows an optimal spreading sequence in the Weyl sequence class, which is similar to the set of the Oppermann sequences for asynchronous CDMA systems. Sequences in Weyl sequence class have the desired property that the order of cross-correlation is low. Therefore, sequences in the Weyl sequence class are expected to minimize the inter-symbol interference. We evaluate the upper bound of cross-correlation and odd cross-correlation of spreading sequences in the Weyl sequence class and construct the optimization problem: minimize the upper bound of the absolute values of cross-correlation and odd cross-correlation. Since our optimization problem is convex, we can derive the optimal spreading sequences as the global solution of the problem. We show their signal to interference plus noise ratio (SINR) in a special case. From this result, we propose how the initial elements are assigned, that is, how spreading sequences are assigned to each users. In an asynchronous CDMA system, we also numerically compare our spreading sequences with other ones, the Gold codes, the Oppermann sequences, the optimal Chebyshev spreading sequences and the SP sequences in Bit Error Rate. Our spreading sequence, which yields the global solution, has the highest performance among the other spreading sequences tested.},
keywords={},
doi={10.1587/transcom.2017EBP3139},
ISSN={1745-1345},
month={March},}

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TY - JOUR
TI - Weyl Spreading Sequence Optimizing CDMA
T2 - IEICE TRANSACTIONS on Communications
SP - 897
EP - 908
AU - Hirofumi TSUDA
AU - Ken UMENO
PY - 2018
DO - 10.1587/transcom.2017EBP3139
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E101-B
IS - 3
JA - IEICE TRANSACTIONS on Communications
Y1 - March 2018
AB - This paper shows an optimal spreading sequence in the Weyl sequence class, which is similar to the set of the Oppermann sequences for asynchronous CDMA systems. Sequences in Weyl sequence class have the desired property that the order of cross-correlation is low. Therefore, sequences in the Weyl sequence class are expected to minimize the inter-symbol interference. We evaluate the upper bound of cross-correlation and odd cross-correlation of spreading sequences in the Weyl sequence class and construct the optimization problem: minimize the upper bound of the absolute values of cross-correlation and odd cross-correlation. Since our optimization problem is convex, we can derive the optimal spreading sequences as the global solution of the problem. We show their signal to interference plus noise ratio (SINR) in a special case. From this result, we propose how the initial elements are assigned, that is, how spreading sequences are assigned to each users. In an asynchronous CDMA system, we also numerically compare our spreading sequences with other ones, the Gold codes, the Oppermann sequences, the optimal Chebyshev spreading sequences and the SP sequences in Bit Error Rate. Our spreading sequence, which yields the global solution, has the highest performance among the other spreading sequences tested.
ER -