Group representation design of digital signals and sequences

Shamgar Gurevich*, Ronny Hadani, Nir Sochen

*Corresponding author for this work

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


In this survey a novel system, called the oscillator system, consisting of order of p 3 functions (signals) on the finite field 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.

Original languageEnglish
Title of host publicationSequences and Their Applications - SETA 2008 - 5th International Conference, Proceedings
Number of pages14
StatePublished - 2008
Event5th International Conference on Sequences and Their Applications, SETA 2008 - Lexington, KY, United States
Duration: 14 Sep 200818 Sep 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5203 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference5th International Conference on Sequences and Their Applications, SETA 2008
Country/TerritoryUnited States
CityLexington, KY


  • Commutative subgroups
  • Eigen- functions
  • Explicit algorithm
  • Fourier invariance
  • Good correlations
  • Low supremum
  • Weil representation


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