FINITE FOURIER SERIES DECOMPOSITION OF FUNCTIONS (SIGNALS) OF TWO VARIABLES

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Published: 2018-04-07

Page: 118-127


G. BRITTO ANTONY XAVIER *

Department of Mathematics, Sacred Heart College, Tirupattur - 635601, Vellore District, Tamil Nadu, India.

M. MEGANATHAN

Department of Mathematics, Sacred Heart College, Tirupattur - 635601, Vellore District, Tamil Nadu, India.

E. L. GOHILA

Department of Mathematics, Sacred Heart College, Tirupattur - 635601, Vellore District, Tamil Nadu, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper, we apply the properties of discrete orthonormal system of functions and derive certain results on trigonometric functions by using inverse of generalized difference operator. Also we develop a new method to find out finite Fourier series decomposition of real valued functions of two variables and analyse the output signals after the decomposition of input signals like trigonometric functions using MATLAB.

Keywords: Discrete orthonormal system, finite Fourier series, generalized difference operator and signal processing


How to Cite

XAVIER, G. B. A., MEGANATHAN, M., & GOHILA, E. L. (2018). FINITE FOURIER SERIES DECOMPOSITION OF FUNCTIONS (SIGNALS) OF TWO VARIABLES. Asian Journal of Mathematics and Computer Research, 24(3), 118–127. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1046

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