IJPAM: Volume 107, No. 3 (2016)

THEORY OF DISCRETE FOURIER SERIES GENERATED
BY GENERALIZED DIFFERENCE OPERATOR

M. Maria Susai Manuel$^1$, G. Dominic Babu$^2$, G. Britto Antony Xavier$^3$
$^1$Department of Mathematics
R.M.D. Engineering College
Kavaraipettai, 601 206, Tamil Nadu, S. INDIA
$^2$Department of Mathematics
Annai Velankanni College
Tholaiyavattam, Kanyakumari District, Tamil Nadu, S. INDIA
$^3$Department of Mathematics
Sacred Heart College
Tirupattur, Vellore District, INDIA


Abstract. Constant amplitude transforms like Discrete Fourier Transform (DFT), Walsh transform, nonlinear phase Walsh-like transforms and Gold codes have been successfully used in many wire-line and wireless communication technologies including code division multiple access (CDMA), discrete multi-tone (DMT) and orthogonal frequency division multiplexing (OFDM) types. In this paper, we derive the discrete Fourier Series using orthonormal functions and generalized difference operator with its inverse. Suitable examples are provided to illustrate the main results.

Received: January 5, 2016

AMS Subject Classification: 65B10, 65T10, 42A20

Key Words and Phrases: discrete Fourier series, generalized difference operator, discrete orthonormal system

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DOI: 10.12732/ijpam.v107i3.3 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 3
Pages: 537 - 549


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CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).