Abstract
The Fourier series are, as we know, widely used in a number of mathematical problems arising in various topics of Communication systems, Signal Processing, Image processing and many more. The main contribution through these series is to analyze and build periodic functions in the form of infinite or finite sums of sines and cosines. In this paper, a new series representation like the Fourier series has been derived for every periodic function which can be represented by the Fourier series, thereby increasing the extent of applications of Fourier analysis in the related fields.
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