Evaluation of a Class of Quadratic Gauss Sums by Sampling a Continuous Chirp Signal
Copyright policy )Evaluation of a Class of Quadratic Gauss Sums by Sampling a Continuous Chirp Signal
Summary: 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.
- Persian Gulf University Iran (Islamic Republic of)
- Sharif University of Technology Iran (Islamic Republic of)
Other character sums and Gauss sums, continuous-time chirp, sampling, discrete-time chirp, DFT, Numerical methods for discrete and fast Fourier transforms, Sampling theory in information and communication theory, quadratic Gauss sum
Other character sums and Gauss sums, continuous-time chirp, sampling, discrete-time chirp, DFT, Numerical methods for discrete and fast Fourier transforms, Sampling theory in information and communication theory, quadratic Gauss sum
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