Group representation design of digital signals and sequences

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dc.creatorGurevich, Shamgar
dc.creatorHadani, Ronny
dc.creatorSochen, Nir
dc.date2008-12-30
dc.date.accessioned2026-07-07T12:23:10Z
dc.date.available2026-07-07T12:23:10Z
dc.descriptionIn this survey a novel system, called the oscillator system, consisting of order of p^3 functions (signals) on the finite field F_{p}, is described and studied. The new functions are proved to satisfy good auto-correlation, cross-correlation and low peak-to-average power ratio properties. Moreover, the oscillator system is closed under the operation of discrete Fourier transform. Applications of the oscillator system for discrete radar and digital communication theory are explained. Finally, an explicit algorithm to construct the oscillator system is presented.
dc.descriptionAppeared in the proceedings of the international conference on Sequences and Their Applications (SETA) 2008. Key words: Weil representation, commutative subgroups, eigenfunctions, good correlations, low supremum, Fourier invariance, explicit algorithm
dc.identifierhttps://arxiv.org/abs/0812.5026
dc.identifierhttp://arxiv.org/abs/0812.5026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213898
dc.subjectInformation Theory
dc.subjectDiscrete Mathematics
dc.subjectRepresentation Theory
dc.titleGroup representation design of digital signals and sequences
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