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All-digital 2-channel parallel undersampling and reconstruction of band-limited signals

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Abstract

In this paper, we show that a band-limited signal can be reconstructed from two undersampled sequences of the signal, and further propose a 2-channel multirate undersampling and reconstruction method for band-limited signals. With such an approach, the sampling rate can be reduced to about one half of the Nyquist sampling rate. This method also has the advantage that no analog filters are needed to decompose the signal into two components with narrower bandwidths. Furthermore, the parallel processing of the two sampled sequences will lead to improved system performances. Finally, we consider the synchronization between the two sampled sequences, and show that the two A/D converters can be readily synchronized.

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Abbreviations

W-BL signal:

Bandlimited signal with bandwidth W

f(t):

time domain signal

F(Ω):

frequency domain signal

\(U^*_i\) :

complex conjugate

\(\sum\nolimits^k_{i=0}V_i\) :

sum of V i , i = 0,...,k

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Authors and Affiliations

  1. Department of Electronics and Information Engineering, Nanchang University, Jiangxi, China

    Jingqun Li

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  1. Jingqun Li
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Correspondence to Jingqun Li.

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Li, J. All-digital 2-channel parallel undersampling and reconstruction of band-limited signals. SIViP 2, 89–99 (2008). https://doi.org/10.1007/s11760-007-0039-y

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  • DOI: https://doi.org/10.1007/s11760-007-0039-y

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