The Cosine and Sine Transform of Fourier

Fractional Fourier Integral Theorem and Fractional Fourier Sine and Cosine Transform

FRACTIONAL FOURIER INTEGRAL THEOREM AND FRACTIONAL FOURIER SINE AND COSINE TRANSFORM Saleem Iqbal, S.M. Raza, * LalaRukh Kamal and Farhana Sarwar Department of Mathematics/Physics, University of Balochistan, Quetta, Pakistan e-mail: fs1005,saleemiqbal81,[email protected]. ABSTRACT: The fractional Fourier transform (FRFT) is a generalization of the ordinary Fourier transform (FT). Recently...

Discrete-Cosine/Sine-Transform Based Motion Estimation

A new motion estimation scheme, Discrete-Cosine/SineTransform Based Motion Estimation (DXT-ME) utilizing the principle of orthogonality of cosine and sine functions to estimate, in the transform domain, displacements from the motion information contained in the pseudo-phases of the images of moving objects, is proposed. The computational complexity of this method is only O ( N 2 ) + O d c t for...

Signal recognition: Fourier transform vs. Cosine transform

A new feature representation approach, the simultaneous usage of the real and imaginary Fourier components with taking into account the covariance between these components, was compared with the Cosine transform approach for Gaussian recognition. 2003 Elsevier B.V. All rights reserved.

Quantum Fast Fourier Transform Viewed as a Special Case of Recursive Application of Cosine-Sine Decomposition

A quantum compiler is a software program for decomposing (“compiling”) an arbitrary unitary matrix into a sequence of elementary operations (SEO). Coppersmith showed that the NB-bit Discrete Fourier Transform matrix UFT can be decomposed in a very efficient way, as a sequence of order(NB ) elementary operations. Can a quantum compiler that doesn’t know a priori about Coppersmith’s decomposition...

Integral Transforms of Fourier Cosine and Sine Generalized Convolution Type