2008/12/30 by Shamgar Gurevich, Ronny Hadani, Gurevich, Shamgar +3
Computer Science · Mathematics · #Digital Filter Design and Implementation #Digital Image Processing Techniques #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Mathematical Analysis and Transform Methods #Representation Theory (math.RT) #cs.DM #cs.IT #math.IT #math.RT
paper · pdf · doi:10.48550/arxiv.0812.5026
Appeared 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
arxiv created 2008/12/30 · openalex publication_date 2008/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this survey a novel system, called the oscillator system, consisting of order of p3 functions (signals) on the finite field Fp, 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.