Periodically nonuniform sampling of a new class of bandpass signals

Yuan-Pei Lin; P. P. Vaidyanathan

doi:10.1109/DSPWS.1996.555480

Periodically nonuniform sampling of a new class of bandpass signals

Yuan-Pei Lin^*, P. P. Vaidyanathan

^*此作品的通信作者

電控工程研究所

研究成果: Paper › 同行評審

4 引文斯高帕斯（Scopus）

摘要

It is known that a continuous time signal x(t) with Fourier transform X(ν) band-limited to |ν|<Θ/2 can be reconstructed from its samples x(T₀n) with T₀ = 2π/Θ. In the case that X(ν) consists of two bands and is band-limited to ν₀<|ν|<ν₀+Θ/2, successful reconstruction of x(t) from x(T₀n) requires that these two bands be located properly. When the two bands are not located properly, Kohlenberg showed that we can use a Periodically Nonuniform Sampling (PNS) scheme to recover x(t). In this paper, we show that PNS scheme can be generalized and applied to a wider class. Further generalizations will be made to two-dimensional case and discrete-time case.

原文	English
頁面	141-144
頁數	4
DOIs	https://doi.org/10.1109/DSPWS.1996.555480
出版狀態	Published - 1 1月 1996
事件	Proceedings of the 1996 7th IEEE Digital Signal Processing Workshop - Loen, Norway 持續時間: 1 9月 1996 → 4 9月 1996

Conference

Conference	Proceedings of the 1996 7th IEEE Digital Signal Processing Workshop
城市	Loen, Norway
期間	1/09/96 → 4/09/96

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10.1109/DSPWS.1996.555480

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N2 - It is known that a continuous time signal x(t) with Fourier transform X(ν) band-limited to |ν|<Θ/2 can be reconstructed from its samples x(T0n) with T0 = 2π/Θ. In the case that X(ν) consists of two bands and is band-limited to ν0<|ν|<ν0+Θ/2, successful reconstruction of x(t) from x(T0n) requires that these two bands be located properly. When the two bands are not located properly, Kohlenberg showed that we can use a Periodically Nonuniform Sampling (PNS) scheme to recover x(t). In this paper, we show that PNS scheme can be generalized and applied to a wider class. Further generalizations will be made to two-dimensional case and discrete-time case.

AB - It is known that a continuous time signal x(t) with Fourier transform X(ν) band-limited to |ν|<Θ/2 can be reconstructed from its samples x(T0n) with T0 = 2π/Θ. In the case that X(ν) consists of two bands and is band-limited to ν0<|ν|<ν0+Θ/2, successful reconstruction of x(t) from x(T0n) requires that these two bands be located properly. When the two bands are not located properly, Kohlenberg showed that we can use a Periodically Nonuniform Sampling (PNS) scheme to recover x(t). In this paper, we show that PNS scheme can be generalized and applied to a wider class. Further generalizations will be made to two-dimensional case and discrete-time case.

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Periodically nonuniform sampling of a new class of bandpass signals

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