Aperiodic auto-correlation of polyphase sequences with a small peak-factor

Holger Boche; Slawomir Stanczak

doi:10.1109/ACSSC.1999.832420

Aperiodic auto-correlation of polyphase sequences with a small peak-factor

Holger Boche, Slawomir Stanczak

Heinrich Hertz Institute

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

1 Zitat (Scopus)

Abstract

The aperiodic auto-correlation function (ACF) of polyphase sequences that behave well in terms of the peak-factor is investigated. General considerations concerning arbitrary polyphase sequences are followed by the analysis of binary Rudin-Shapiro sequences and the so-called Zygmund sequences. In the first case, the asymptotic limit of the inverse merit-factor is considered to make clear that sequences with a very small peak-factor can exhibit poor aperiodic ACF properties. Then an investigation of the aperiodic ACF of Zygmund sequences is presented. The phase function of these sequences does not depend on the sequence length, and thus they are simple to design regarding the partial auto-correlation function.

Originalsprache	Englisch
Titel	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Redakteure/-innen	Michael B. Matthews
Herausgeber (Verlag)	Institute of Electrical and Electronics Engineers Inc.
Seiten	705-709
Seitenumfang	5
ISBN (elektronisch)	0780357000, 9780780357006
DOIs	https://doi.org/10.1109/ACSSC.1999.832420
Publikationsstatus	Veröffentlicht - 1999
Extern publiziert	Ja
Veranstaltung	33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999 - Pacific Grove, USA/Vereinigte Staaten Dauer: 24 Okt. 1999 → 27 Okt. 1999

Publikationsreihe

Name	Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Band	1

Konferenz

Konferenz	33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999
Land/Gebiet	USA/Vereinigte Staaten
Ort	Pacific Grove
Zeitraum	24/10/99 → 27/10/99

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10.1109/ACSSC.1999.832420

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Boche, H., & Stanczak, S. (1999). Aperiodic auto-correlation of polyphase sequences with a small peak-factor. in M. B. Matthews (Hrsg.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers (S. 705-709). Artikel 832420 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Band 1). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACSSC.1999.832420

Boche, Holger ; Stanczak, Slawomir. / Aperiodic auto-correlation of polyphase sequences with a small peak-factor. Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. Hrsg. / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. S. 705-709 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers).

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title = "Aperiodic auto-correlation of polyphase sequences with a small peak-factor",

abstract = "The aperiodic auto-correlation function (ACF) of polyphase sequences that behave well in terms of the peak-factor is investigated. General considerations concerning arbitrary polyphase sequences are followed by the analysis of binary Rudin-Shapiro sequences and the so-called Zygmund sequences. In the first case, the asymptotic limit of the inverse merit-factor is considered to make clear that sequences with a very small peak-factor can exhibit poor aperiodic ACF properties. Then an investigation of the aperiodic ACF of Zygmund sequences is presented. The phase function of these sequences does not depend on the sequence length, and thus they are simple to design regarding the partial auto-correlation function.",

author = "Holger Boche and Slawomir Stanczak",

note = "Publisher Copyright: {\textcopyright} 1999 IEEE.; 33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999 ; Conference date: 24-10-1999 Through 27-10-1999",

year = "1999",

doi = "10.1109/ACSSC.1999.832420",

language = "English",

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booktitle = "Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers",

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Boche, H & Stanczak, S 1999, Aperiodic auto-correlation of polyphase sequences with a small peak-factor. in MB Matthews (Hrsg.), Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers., 832420, Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers, Bd. 1, Institute of Electrical and Electronics Engineers Inc., S. 705-709, 33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999, Pacific Grove, USA/Vereinigte Staaten, 24/10/99. https://doi.org/10.1109/ACSSC.1999.832420

Aperiodic auto-correlation of polyphase sequences with a small peak-factor. / Boche, Holger; Stanczak, Slawomir.
Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. Hrsg. / Michael B. Matthews. Institute of Electrical and Electronics Engineers Inc., 1999. S. 705-709 832420 (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers; Band 1).

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

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PY - 1999

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N2 - The aperiodic auto-correlation function (ACF) of polyphase sequences that behave well in terms of the peak-factor is investigated. General considerations concerning arbitrary polyphase sequences are followed by the analysis of binary Rudin-Shapiro sequences and the so-called Zygmund sequences. In the first case, the asymptotic limit of the inverse merit-factor is considered to make clear that sequences with a very small peak-factor can exhibit poor aperiodic ACF properties. Then an investigation of the aperiodic ACF of Zygmund sequences is presented. The phase function of these sequences does not depend on the sequence length, and thus they are simple to design regarding the partial auto-correlation function.

AB - The aperiodic auto-correlation function (ACF) of polyphase sequences that behave well in terms of the peak-factor is investigated. General considerations concerning arbitrary polyphase sequences are followed by the analysis of binary Rudin-Shapiro sequences and the so-called Zygmund sequences. In the first case, the asymptotic limit of the inverse merit-factor is considered to make clear that sequences with a very small peak-factor can exhibit poor aperiodic ACF properties. Then an investigation of the aperiodic ACF of Zygmund sequences is presented. The phase function of these sequences does not depend on the sequence length, and thus they are simple to design regarding the partial auto-correlation function.

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U2 - 10.1109/ACSSC.1999.832420

DO - 10.1109/ACSSC.1999.832420

M3 - Conference contribution

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BT - Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers

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Boche H, Stanczak S. Aperiodic auto-correlation of polyphase sequences with a small peak-factor. in Matthews MB, Hrsg., Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers. Institute of Electrical and Electronics Engineers Inc. 1999. S. 705-709. 832420. (Conference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers). doi: 10.1109/ACSSC.1999.832420

Aperiodic auto-correlation of polyphase sequences with a small peak-factor

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