# Discrete Cosine Transform

@article{Ahmed1974DiscreteCT, title={Discrete Cosine Transform}, author={Nasir Ahmed and T. Raj Natarajan and K. R. Rao}, journal={IEEE Transactions on Computers}, year={1974}, volume={23}, pages={90-93} }

A discrete cosine transform (DCT) is defined and an algorithm to compute it using the fast Fourier transform is developed. It is shown that the discrete cosine transform can be used in the area of digital processing for the purposes of pattern recognition and Wiener filtering. Its performance is compared with that of a class of orthogonal transforms and is found to compare closely to that of the Karhunen-Loeve transform, which is known to be optimal. The performances of the Karhunen-Loeve and…

## 3,685 Citations

Recursive algorithms for discrete cosine transform

- Computer ScienceProceedings of Third International Conference on Signal Processing (ICSP'96)
- 1996

A recursive algorithm with a regular structure is first presented for computing the discrete cosine transform (DCT-II), it requires no data shifts, the multiplication coefficients can be generated by a simple recursion.

On discrete cosine transform

- Computer ScienceArXiv
- 2011

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.

Generalized Discrete Cosine Transform

- Computer Science2009 Pacific-Asia Conference on Circuits, Communications and Systems
- 2009

In simulating the discrete cosine transform, a generalized discrete Cosine transform with three parameters is proposed, and its orthogonality for some new cases is proved.

A new look at DCT-type transforms

- Computer ScienceIEEE Trans. Acoust. Speech Signal Process.
- 1989

The proposed transform offers a higher computational efficiency than the traditional even discrete cosine transform and yields a mean-squared error close to that of the DCT.

Discrete cosine transform filtering

- EngineeringInternational Conference on Acoustics, Speech, and Signal Processing
- 1990

Circular convolution-multiplication relationships for the discrete cosine transform (DCT) that are similar to those forThe discrete Fourier transform (DFT) are developed and can be used to filter an image in the frequency domain as an approximation of circular convolution in the spatial domain.

Frequency cosine transform: A bridge between gradient based frequency transform and discrete cosine transform

- Computer Science, Engineering2008 International Conference on Neural Networks and Signal Processing
- 2008

It is shown that the FCT can be regarded as a special case of FRT or DCT and it is as sophisticated as the FRT and as fast as the DCT.

Image coding using weighted cosine transform

- Computer ScienceIEEE TENCON'90: 1990 IEEE Region 10 Conference on Computer and Communication Systems. Conference Proceedings
- 1990

A new orthogonal transform, called weighted cosine transform (WCT), is developed for digital image coding applications and the transform matrix is the weighted version of that in the discrete cosinetransform (DCT).

A fast recursive algorithm for computing the discrete cosine transform

- Computer Science, EngineeringIEEE Trans. Acoust. Speech Signal Process.
- 1987

This paper presents a recursive algorithm for DCT with a structure that allows the generation of the next higher order DCT from two identical lower order D CT's.

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A new unitary transform called the slant transform, specifically designed for image coding, has been developed. The transformation possesses a discrete sawtoothlike basis vector which efficiently…

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External link This page was last modified 17:12, 7 Apr 2005. All text is available under the terms of the GNU Free Documentation License (see Copyrights for details)

- External link This page was last modified 17:12, 7 Apr 2005. All text is available under the terms of the GNU Free Documentation License (see Copyrights for details)

Retrieved from "http://en.wikipedia.org/wiki/Discrete_cosine_transform" Categories: Digital signal processing | Fourier analysis

- Retrieved from "http://en.wikipedia.org/wiki/Discrete_cosine_transform" Categories: Digital signal processing | Fourier analysis

discrete cosine transform (http://planetmath.org/?op=getobj&from=objects&id=1469) on PlanetMath

- discrete cosine transform (http://planetmath.org/?op=getobj&from=objects&id=1469) on PlanetMath