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Generalized Discrete Cosine Transform

Jianqin Zhou, Ping Chen

Open publisher page 32 citations

Abstract

The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three parameters, and prove its orthogonality for some new cases. Finally, a new type of discrete cosine transform is proposed and its orthogonality is proved.

About this research paper

What this paper is about

The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three parameters, and prove its orthogonality for some new cases. Finally, a new type of discrete cosine transform is proposed and its orthogonality is proved.

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OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three parameters, and prove its orthogonality for some new cases. Finally, a new type of discrete cosine transform is proposed and its orthogonality is proved.

Key concepts: Discrete cosine transform, Discrete sine transform, Modified discrete cosine transform, Lapped transform, Discrete Hartley transform, Orthogonality, Transform coding, Discrete Fourier transform (general)

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