Fractional Fourier domain analysis of cyclic multirate signal processing

查看全文 作　　者：MENG [1]XiangYi;TAO [1]Ran;WANG [1]Yue

机构地区：[1]Department of Electronic Engineering,Beijing Institute of Technology,Beijing 100081,China

出　　处：《Science China(Technological Sciences)》索引2008年第51卷第6期,共17页

基　　金：Supported partially by the National Natural Science Foundation of China (Grants Nos. 60232010 and 60572094);the National Natural Science Foundation of China for Distinguished Young Scholars (Grant No. 60625104);as well as the Doctorship Foundation of China Education Ministry (Grants No. 1010036620602) 摘　　要：The cyclic filter banks, which are used widely in the image subband coding, refer to signal processing on the finite field. This study investigates the fractional Fourier domain (FRFD) analysis of cyclic multirate systems based on the fractional circular convolution and chirp period. The proposed theorems include the fractional Fourier domain analysis of cyclic decimation and cyclic interpolation, the noble identities of cyclic decimation and cyclic interpolation in the FRFD, the polyphase represen-tation of cyclic signal in the FRFD, and the perfect reconstruction condition for the cyclic filter banks in the FRFD. Furthermore, this paper proposes the design methods for perfect reconstruction cyclic filter bank and cyclic filter bank with chirp modulation in the FRFD. The proposed theorems extend the multirate signal processing in the FRFD, which also advance the applications of the theorems of filter bank in the FRFD on the finite signal field, such as digital image processing. At last, the proposed design methods for the cyclic filter banks in the FRFD are validated by simulations. 关键词：discrete FRACTIONAL FOURIER transform FRACTIONAL circular CONVOLUTION CYCLIC filter BANKS PERFECT reconstruction

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Fractional Fourier domain analysis of cyclic multirate signal processing

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引证文献(3)

耦合文献(105)

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