UWB signal receiver with sub-Nyquist rate sampling based on compressed sensing
ISSN: 0332-1649
Article publication date: 1 January 2014
Abstract
Purpose
The purpose of this paper is to present a compressed sensing (CS)-based sampling system for ultra-wide-band (UWB) signal. By exploiting the sparsity of signal, this new sampling system can sub-Nyquist sample a multiband UWB signal, whose unknown frequency support occupies only a small portion of a wide spectrum.
Design/methodology/approach
A random Rademacher sequence is used to sense the signal in the frequency domain, and a matrix constructed by Hadamard basis is used to compress the signal. The probability of reconstruction is proved mathematically, and the reconstruction matrix is developed in the frequency domain.
Findings
Simulation results indicate that, with an ultra-low sampling rate, the proposed system can capture and reconstruct sparse multiband UWB signals with high probability. For sparse multiband UWB signals, the proposed system has potential to break through the Shannon theorem.
Originality/value
Different from the traditional sub-Nyquist techniques, the proposed sampling system not only breaks through the limitation of Shannon theorem but also avoids the barrier of input bandwidth of analog-to-digital converters (ADCs).
Keywords
Acknowledgements
This work is supported in part by the Key Scientific Research Fund Xihua University (Grant No. z1320928), in part by the National Natural Science Foundation of China (Grant No. 61301264), in part by the PhD Programs Foundation of Ministry of Education of China (Grant No. 20130185120019), and in part by the Fundamental Research Funds for the Central Universities (Grant No. ZYGX2013J089).
Citation
Zhuang, X., Zhao, Y., Wang, L. and Wang, H. (2014), "UWB signal receiver with sub-Nyquist rate sampling based on compressed sensing", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 1/2, pp. 556-566. https://doi.org/10.1108/COMPEL-12-2012-0392
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited