Estimation of deviations between the aperiodic and periodic correlation functions of polyphase sequences in vicinity of the zero shift

Holger Boche, Slawomir Stanczak

Research output: Contribution to conferencePaperpeer-review

4 Scopus citations

Abstract

Methods of constructing sequences with favorable periodic correlation properties are widely known. Unfortunately, even if sequences have perfect periodic auto-correlation functions, their properties with respect to the aperiodic case can be very poor. In this paper, the behavior of the aperiodic correlation function of polyphase sequences is investigated if the corresponding periodic one is known. Particularly, upper bounds are provided that estimate deviations in terms of lp-norms (p = 1, 2, ∞) between these two correlation functions in the vicinity of the zero shift. Then, the aperiodic auto-correlation function of Frank-Zadoff-Chu sequences is investigated to show that the bounds cannot be considerably improved in a certain neighborhood of the zero shift.

Original languageEnglish
Pages283-287
Number of pages5
StatePublished - 2000
Externally publishedYes
Event2000 IEEE 6th International Symposium on Spread Spectrum Techniques and Applications (ISSSTA 2000) - Parsippany, NJ, USA
Duration: 6 Sep 20008 Sep 2000

Conference

Conference2000 IEEE 6th International Symposium on Spread Spectrum Techniques and Applications (ISSSTA 2000)
CityParsippany, NJ, USA
Period6/09/008/09/00

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