2015International Journal of Innovative Research in Science Engineering and TechnologyOpen access

Relation of Generalized Two Dimensional Fractional Cosine Transform with Other Transform

Shobha Sharma

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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).In actual computations of fractional cosine transform (FCT) and fractional sine transform (FST), the basic integrations are performed with quadratures.Because the data are sampled and the duration is finite, most of the quadratures can be implemented via matrix computations.In this paper we obtained some relations between fractional cosine and sine transform with other transforms. .

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Fractional Cosine Transform (FRCT) is a generalization of the ordinary cosine transform and it has similar relationship with Fractional Fourier Transform (FRFT).In actual computations of fractional cosine transform (FCT) and fractional sine transform (FST), the basic integrations are performed with quadratures.Because the data are sampled and the duration is finite, most of the quadratures can be implemented via matrix computations.In this paper we obtained some relations between fractional cosine and sine transform with other transforms. .

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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).In actual computations of fractional cosine transform (FCT) and fractional sine transform (FST), the basic integrations are performed with quadratures.Because the data are sampled and the duration is finite, most of the quadratures can be implemented via matrix computations.In this paper we obtained some relations between fractional cosine and sine transform with other transforms. .

Key concepts: Mathematics, Fractional Fourier transform, Relation (database), Mathematical analysis, Discrete cosine transform, Trigonometric functions, Fourier transform, Computer science

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