On discrete cosine transform

Summary

This work proposes a generalized discrete W transform with three parameters, and proves its orthogonality for some new cases, and proposes a new type of discrete cosine transform, which is proposed and its orthOGonality is proved.

Keywords

Discrete cosine transform, Discrete sine transform, Discrete Hartley transform, Lapped transform, Modified discrete cosine transform

References

Discrete Hartley transformR. N. Bracewell — 1983
The Discrete Cosine TransformGilbert Strang — 1999
Fast algorithms for the discrete W transform and for the discrete Fourier transformZhongde Wang — 1984
The discrete cosine transform-A new versionZhongde Wang, B.R. Hunt — 1983
An Orientation-Selective Orthogonal Lapped TransformDietmar Kunz — 2008
Low power design of DCT and IDCT for low bit rate video codecsN.J. August, Dong Sam Ha — 2004
A prime factor fast W transform algorithmZ. Wang — 1992
A Sinusoidal Family of Unitary TransformsAnil K. Jain — 1979
FAST W TRANSFORM——ALGORITHMS AND PROGRAMSZ Wang — 1989

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