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Matrices generating eigenvectors for constructing fractional trigonometric transforms | IEEE Conference Publication | IEEE Xplore

Matrices generating eigenvectors for constructing fractional trigonometric transforms


Abstract:

In this paper, we propose a method for obtaining eigenvectors of discrete cosine and sine transforms of types I and IV. The approach is based on constructing an initial e...Show More

Abstract:

In this paper, we propose a method for obtaining eigenvectors of discrete cosine and sine transforms of types I and IV. The approach is based on constructing an initial eigenvector of one of such trigonometric transforms and a generating matrix. Multiplying powers of the matrix by the initial eigenvector, new eigenvectors are obtained. It is shown how the generated eigenvectors can be used in the fractionalization of the respective transform. Finally, we illustrate the applicability of the developed theory in the scenario of image encryption.
Date of Conference: 05-07 July 2017
Date Added to IEEE Xplore: 23 October 2017
ISBN Information:
Conference Location: Barcelona, Spain

References

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