Evaluation of a Class of Quadratic Gauss Sums by Sampling a Continuous Chirp Signal, By Reza Dianat

Research

Title	Evaluation of a Class of Quadratic Gauss Sums by Sampling a Continuous Chirp Signal
Type	Article
Keywords	—
Journal	Sampling Theory in Signal and Image Processing
DOI	—
Researchers	Reza Dianat (First researcher) ,

Abstract

‎The calculation of Discrete Fourier Transform (DFT) of a periodic discrete-time chirp ends in the evaluation of a quadratic Gauss sum‎. ‎The calculation of this sum has not been an easy problem in mathematics‎. ‎It has taken years to be solved‎. ‎In this work‎, ‎by sampling a continuous chirp and relating the spectrum of the signal and the spectrum of its samples‎, ‎an interesting solution to the calculation of a class of Gauss sums is presented‎. ‎The solution once again reveals the beauties of signal processing techniques‎.