A new class of Fourier series kernels
- 1 March 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 20 (2) , 101-107
- https://doi.org/10.1109/TCT.1973.1083648
Abstract
A class of weights is developed for minimizing the error in the approximation of a periodic function by a Fourier series with finitely many terms. The analysis is based on the following problem. Given a functionP(t), find the extrema of the integral\int_{-T/2}^{T/2} P(t) | y(t) |^{2} dtasy(t)ranges over all normalized trigonometric polynomials of specified order.Keywords
This publication has 3 references indexed in Scilit:
- Digital filtering and prolate functionsIEEE Transactions on Circuit Theory, 1972
- Data windows for digital spectral analysisProceedings of the Institution of Electrical Engineers, 1972
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IBell System Technical Journal, 1961