Relationship between sampling and multirate filterbanks in the linear canonical transform domain

Relationship between sampling and multirate filterbanks in the linear canonical transform domain
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线性正则变换域中采样与多速率滤波器组之间的关系

DOI:
10.1186/1687-6180-2013-102
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发表时间:
2013-05
影响因子:
1.9
通讯作者:
Wang Yue
Wang Yue
中科院分区:
工程技术4区
文献类型:
--
作者:
Zhang Feng;Tao Ran;Wang Yue

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多速率滤波器组已经在语音处理、图像处理、通信和新采样定理的发展中得到了应用。本文探讨了线性正则变换(LCT)域中采样定理与多速率滤波器组之间的关系。讨论了LCT域中带限信号的采样恒等式和插值恒等式,然后利用LCT域中带限信号的多通道采样得到了LCT域中带限信号的离散时间实现。此外,我们将LCT域中带限信号的多通道采样以及相应的连续LCT滤波器组与离散LCT滤波器组联系起来,这可以导致LCT域中带限信号的新采样策略。
Multirate filterbanks have found applications in speech processing, image processing, communications, and in the development of new sampling theorems. This paper explores the relationship between sampling theorems and multirate filterbanks in the linear canonical transform (LCT) domain. The sampling identity and the interpolation identity for bandlimited signals in the LCT domain are discussed and then employed to obtain a discrete-time implementation for bandlimited signals in the LCT domain from their multichannel samples. Furthermore, we relate the multichannel sampling for bandlimited signals in the LCT domain as well as the corresponding continuous-time LCT filterbank to the discrete-time LCT filterbank, which can lead to new sampling strategies for bandlimited signals in the LCT domain.
DOI: 10.1109/29.90376
发表时间: 1988-09
期刊: IEEE Trans. Acoust. Speech Signal Process.
影响因子: --
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