Evaluation of a Class of Quadratic Gauss Sums by Sampling a Continuous Chirp Signal

被引：0
|
作者：
Reza Dianat
Farokh Marvasti
机构：
[1] Persian Gulf University,Electrical Engineering department
[2] Sharif University of Technology,Advanced Communication Research Institute
来源：
Sampling Theory in Signal and Image Processing | 2016年 / 15卷 / 1期
关键词：
Continuous-time chirp; Discrete-time chirp; DFT; quadratic Gauss sum; sampling; 11T24; 65T50; 94A20;
D O I：
10.1007/BF03549603
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：155 / 163
页数：8
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