Group representation design of digital signals and sequences

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.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Shamgar Gurevich, Ronny Hadani, Nir A. Sochen
• Keywords: CORR 2008, Discrete Fourier Transform, Education, Finite Field Fp, Oscillator