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Some Examples on Generalized Two-Dimensional Fractional Cosine Transform In the Range ∞ ∞

V. D. Sharma, S. A. Khapre, Pravin R. Patil

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Abstract

Fractional Cosine Transform (FRCT) is a generalization of the ordinary cosine transform and it has similar relationship with Fractional Fourier Transform (FRFT) as the ordinary cosine and sine transforms have with the Fourier Transform (FT). Fractional domain is useful for solving some problems, which cannot be solved in the original domain. In this paper Operation transform formulae on two dimensional fractional Cosine transform are discussed in the range −∞ �� ∞

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What this paper is about

Fractional Cosine Transform (FRCT) is a generalization of the ordinary cosine transform and it has similar relationship with Fractional Fourier Transform (FRFT) as the ordinary cosine and sine transforms have with the Fourier Transform (FT). Fractional domain is useful for solving some problems, which cannot be solved in the original domain. In this paper Operation transform formulae on two dimensional fractional Cosine transform are discussed in the range −∞ �� ∞

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Available abstract

Fractional Cosine Transform (FRCT) is a generalization of the ordinary cosine transform and it has similar relationship with Fractional Fourier Transform (FRFT) as the ordinary cosine and sine transforms have with the Fourier Transform (FT). Fractional domain is useful for solving some problems, which cannot be solved in the original domain. In this paper Operation transform formulae on two dimensional fractional Cosine transform are discussed in the range −∞ �� ∞

Key concepts: Fractional Fourier transform, Sine and cosine transforms, Discrete cosine transform, Mathematics, Discrete sine transform, Sine, Trigonometric functions, Mathematical analysis

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