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International Journal of Antennas and Propagation
Volume 2016 (2016), Article ID 3512617, 7 pages
Research Article

Compressive Detection Using Sub-Nyquist Radars for Sparse Signals

1ATR Key Laboratory, Shenzhen University, Shenzhen, Guangdong 518060, China
2Air Defense Forces Academy, Zhengzhou 450052, China

Received 30 May 2016; Revised 15 August 2016; Accepted 6 September 2016

Academic Editor: Lorenzo Crocco

Copyright © 2016 Ying Sun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates the compression detection problem using sub-Nyquist radars, which is well suited to the scenario of high bandwidths in real-time processing because it would significantly reduce the computational burden and save power consumption and computation time. A compressive generalized likelihood ratio test (GLRT) detector for sparse signals is proposed for sub-Nyquist radars without ever reconstructing the signal involved. The performance of the compressive GLRT detector is analyzed and the theoretical bounds are presented. The compressive GLRT detection performance of sub-Nyquist radars is also compared to the traditional GLRT detection performance of conventional radars, which employ traditional analog-to-digital conversion (ADC) at Nyquist sampling rates. Simulation results demonstrate that the former can perform almost as well as the latter with a very small fraction of the number of measurements required by traditional detection in relatively high signal-to-noise ratio (SNR) cases.