CHEBYSHEV POLYNOMIAL DERIVATION OF COMPOSITE-LENGTH DCT ALGORITHMS

被引:0
|
作者
STEIDL, G
机构
[1] Universität Rostock, Fachbereich Mathematik, O- 2500 Rostock
关键词
FAST COSINE TRANSFORM; CHEBYSHEV POLYNOMIALS; FAST POLYNOMIAL ALGORITHM;
D O I
10.1016/0165-1684(92)90096-F
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Due to their increasing application in digital signal processing and numerical analysis many fast algorithms for the discrete cosine transform (DCT) have been developed. Nevertheless, direct fast algorithms do not exist for DCTs of length N=p' if p>2. This paper presents novel fast algorithms for DCTs of different single- and mixed-radix lengths by using a polynomial approach to the DCT which is mainly based on properties of Chebyshev polynomials.
引用
收藏
页码:17 / 27
页数:11
相关论文
共 22 条
  • [21] Derivation of circumferential guided waves equations for a multilayered laminate composite hollow cylinder by state-vector and Legendre polynomial hybrid formalism
    Zheng, Mingfang
    Ma, Hongwei
    Lyu, Yan
    Lu, Chao
    He, Cunfu
    COMPOSITE STRUCTURES, 2021, 255
  • [22] Real-valued fast discrete Fourier transform and cyclic convolution algorithms of highly composite even length
    Murakami, H
    1996 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, CONFERENCE PROCEEDINGS, VOLS 1-6, 1996, : 1311 - 1314