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A Fast Algorithm for Two Dimension Discrete Cosine Transform

Huang Hua-can

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Abstract

This paper studies the relation between the discrete cosine transform(DCT) and the discrete hartley transform(DHT).A fast algorithm to calculate the coefficient on two dimension discrete cosine transform(2DDCT) is proposed based on the algorithm of DHT.The new algorithm reduces the complexity of the 2DDCT,and sharply enhances its velocity.

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What this paper is about

This paper studies the relation between the discrete cosine transform(DCT) and the discrete hartley transform(DHT).A fast algorithm to calculate the coefficient on two dimension discrete cosine transform(2DDCT) is proposed based on the algorithm of DHT.The new algorithm reduces the complexity of the 2DDCT,and sharply enhances its velocity.

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Available abstract

This paper studies the relation between the discrete cosine transform(DCT) and the discrete hartley transform(DHT).A fast algorithm to calculate the coefficient on two dimension discrete cosine transform(2DDCT) is proposed based on the algorithm of DHT.The new algorithm reduces the complexity of the 2DDCT,and sharply enhances its velocity.

Key concepts: Discrete cosine transform, Discrete Hartley transform, Discrete sine transform, Modified discrete cosine transform, Lapped transform, Dimension (graph theory), Discrete Fourier transform (general), Mathematics

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