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A fast algorithm for modified discrete cosine transform

Wang Jlanxin, Dong Zaiwang

Open publisher page 17 citations

Abstract

This paper presents a fast algorithm for modified discrete cosine transform (MDCT), which is widely used in the coding of wide-band audio signals. By simple time shift and reverse, the MDCT is computed using Lee's (1984) fast cosine transform (FCT). The number of real multiplications is reduced from 2N/sup 2/ to (N/2)log/sub 2/N+N, half of that of the FFT based algorithm. The algorithm renders a simple and symmetric structure.

About this research paper

What this paper is about

This paper presents a fast algorithm for modified discrete cosine transform (MDCT), which is widely used in the coding of wide-band audio signals. By simple time shift and reverse, the MDCT is computed using Lee's (1984) fast cosine transform (FCT). The number of real multiplications is reduced from 2N/sup 2/ to (N/2)log/sub 2/N+N, half of that of the FFT based algorithm. The algorithm renders a simple and symmetric structure.

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OpenAlex reports 17 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper presents a fast algorithm for modified discrete cosine transform (MDCT), which is widely used in the coding of wide-band audio signals. By simple time shift and reverse, the MDCT is computed using Lee's (1984) fast cosine transform (FCT). The number of real multiplications is reduced from 2N/sup 2/ to (N/2)log/sub 2/N+N, half of that of the FFT based algorithm. The algorithm renders a simple and symmetric structure.

Key concepts: Discrete cosine transform, Modified discrete cosine transform, Discrete sine transform, Algorithm, Lapped transform, Fast Fourier transform, Transform coding, Trigonometric functions

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