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

Holger Boche, Slawomir Stanczak

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

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.

Original languageEnglish
Title of host publicationConference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
EditorsMichael B. Matthews
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages705-709
Number of pages5
ISBN (Electronic)0780357000, 9780780357006
DOIs
StatePublished - 1999
Externally publishedYes
Event33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999 - Pacific Grove, United States
Duration: 24 Oct 199927 Oct 1999

Publication series

NameConference Record of the 33rd Asilomar Conference on Signals, Systems, and Computers
Volume1

Conference

Conference33rd Asilomar Conference on Signals, Systems, and Computers, ACSSC 1999
Country/TerritoryUnited States
CityPacific Grove
Period24/10/9927/10/99

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