2008/08/27 by Shamgar Gurevich, Ronny Hadani, Nir Sochen · 4 citations
Computer Science · Mathematics · #Coding theory and cryptography #Digital Filter Design and Implementation #Mathematical Analysis and Transform Methods #cs.IT #math.IT
paper · pdf · doi:10.1109/tit.2008.926440
published as IEEE Transactions on Information Theory, vol. 54, no. 9, September 2008 · Accepted for publication in IEEE Transactions on Information Theory (Communicated by Guang Gong, Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, CANADA)
openalex publication_date 2008/08/27 · arxiv created 2008/12/30 · openalex created_date 2016/06/24 · arxiv updated 2016/11/18 · openalex updated_date 2026/07/29
A novel system, called the oscillator system, consisting of order of p3 functions (signals) on the finite field Fp; with p an odd prime, 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.