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Recently binary or real-valued sequences generated by Chebyshev maps are proposed as spreading sequences in DS/CDMA systems. In this article, we consider sequences of real-valued functions of bounded variation, which include binary functions, of iterates generated by Chebyshev maps, and evaluate explicitly the upper bound of mixing rate of such sequences by defining the modified Perron-Frobenius operator associated with the Chebyshev maps.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E85-A No.9 pp.2003-2008

- Publication Date
- 2002/09/01

- Publicized

- Online ISSN

- DOI

- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and Its Applications)

- Category

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Hiroshi FUJISAKI, "Statistical Properties of Real-Valued Sequences Generated by Chebyshev Maps" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 9, pp. 2003-2008, September 2002, doi: .

Abstract: Recently binary or real-valued sequences generated by Chebyshev maps are proposed as spreading sequences in DS/CDMA systems. In this article, we consider sequences of real-valued functions of bounded variation, which include binary functions, of iterates generated by Chebyshev maps, and evaluate explicitly the upper bound of mixing rate of such sequences by defining the modified Perron-Frobenius operator associated with the Chebyshev maps.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_9_2003/_p

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@ARTICLE{e85-a_9_2003,

author={Hiroshi FUJISAKI, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Statistical Properties of Real-Valued Sequences Generated by Chebyshev Maps},

year={2002},

volume={E85-A},

number={9},

pages={2003-2008},

abstract={Recently binary or real-valued sequences generated by Chebyshev maps are proposed as spreading sequences in DS/CDMA systems. In this article, we consider sequences of real-valued functions of bounded variation, which include binary functions, of iterates generated by Chebyshev maps, and evaluate explicitly the upper bound of mixing rate of such sequences by defining the modified Perron-Frobenius operator associated with the Chebyshev maps.},

keywords={},

doi={},

ISSN={},

month={September},}

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TY - JOUR

TI - Statistical Properties of Real-Valued Sequences Generated by Chebyshev Maps

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 2003

EP - 2008

AU - Hiroshi FUJISAKI

PY - 2002

DO -

JO - IEICE TRANSACTIONS on Fundamentals

SN -

VL - E85-A

IS - 9

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - September 2002

AB - Recently binary or real-valued sequences generated by Chebyshev maps are proposed as spreading sequences in DS/CDMA systems. In this article, we consider sequences of real-valued functions of bounded variation, which include binary functions, of iterates generated by Chebyshev maps, and evaluate explicitly the upper bound of mixing rate of such sequences by defining the modified Perron-Frobenius operator associated with the Chebyshev maps.

ER -