Parameter Estimation of SAR Signal Based on SVD for the Nyquist Folding Receiver

The Nyquist Folding Receiver (NYFR) is a novel ultra-wideband (UWB) receiver structure that can realize wideband signal monitoring with fewer components. The NYFR induces a Nyquist zone (NZ)-dependent sinusoidal frequency modulation (SFM) by a modulated local oscillator (LOS), and the intercepted linear frequency modulated (LFM) synthetic aperture radar (SAR) signal will be converted into an LFM/SFM hybrid modulated signal. In this paper, a parameter estimation algorithm is proposed for the complicated NYFR output signal. According to the NYFR prior information, a chirp singular value ratio (CSVR) spectrum method based on singular value decomposition (SVD) is proposed to estimate the chirp rate directly before estimating the NZ index. Then, a fast search algorithm based on golden section method for the CSVR spectrum is analyzed, which can obviously reduce the computational complexity. The simulation shows that the presented algorithm can accurately estimate the parameters of the LFM/SFM hybrid modulated output signal by the NYFR.

[1]  Zengping Chen,et al.  Parameter estimation of LFM signal intercepted by improved dual-channel Nyquist folding receiver , 2018 .

[2]  Tao Li,et al.  Parameter estimation of LFM signals intercepted by a composite local oscillation SNYFR , 2017, 2017 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS).

[3]  Stephen D. Casey,et al.  Sampling architectures for ultra-wideband signals , 2017, 2017 International Conference on Sampling Theory and Applications (SampTA).

[4]  Yonina C. Eldar,et al.  Sub-Nyquist channel estimation over IEEE 802.11ad link , 2017, 2017 International Conference on Sampling Theory and Applications (SampTA).

[5]  Jun Zhu,et al.  Spectral reconstruction of signals from periodic nonuniform subsampling based on a Nyquist folding scheme , 2017, EURASIP J. Adv. Signal Process..

[6]  Yonina C. Eldar,et al.  Performance of time delay estimation in a cognitive radar , 2017, 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[7]  B. Tang,et al.  The RIP and block-RIP analysis of Nyquist folding receiver for recovering signals , 2016, EURASIP J. Adv. Signal Process..

[8]  Pei Wang,et al.  A parameter estimation algorithm for LFM/BPSK hybrid modulated signal intercepted by Nyquist folding receiver , 2016, EURASIP J. Adv. Signal Process..

[9]  Jun Zhu,et al.  The impact of NYFR's parameters on reconstruction , 2016, 2016 International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET).

[10]  Stephen D. Casey,et al.  UWB signal processing: Projection, B-splines, and modified Gegenbauer bases , 2015, 2015 International Conference on Sampling Theory and Applications (SampTA).

[11]  Witold F. Krajewski,et al.  Compressed sensing applied to weather radar , 2014, 2014 IEEE Geoscience and Remote Sensing Symposium.

[12]  Phillip E. Pace,et al.  Analog-to-Information and the Nyquist Folding Receiver , 2012, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[13]  Yonina C. Eldar,et al.  Xampling: Signal Acquisition and Processing in Union of Subspaces , 2009, IEEE Transactions on Signal Processing.

[14]  P. E. Pace,et al.  Nyquist folding analog-to-information receiver: Autonomous information recovery using quadrature mirror filtering , 2009, 2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers.

[15]  Annamalai Annamalai,et al.  Application of Analytic Wavelet Transform for Signal Detection in Nyquist Folding Analog-to-Information Receiver , 2009, 2009 IEEE International Conference on Communications.

[16]  Justin K. Romberg,et al.  Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals , 2009, IEEE Transactions on Information Theory.

[17]  Alexander G. Gray,et al.  QUIC-SVD: Fast SVD Using Cosine Trees , 2008, NIPS.

[18]  J. Haupt,et al.  A Nyquist folding analog-to-information receiver , 2008, 2008 42nd Asilomar Conference on Signals, Systems and Computers.

[19]  S. Kirolos,et al.  Random Sampling for Analog-to-Information Conversion of Wideband Signals , 2006, 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software.

[20]  J. Bunch,et al.  Updating the singular value decomposition , 1978 .

[21]  Zengping Chen,et al.  Detection and parameter estimation for space-borne radar linear frequency modulated pulse signal in low signal-to-noise ratio , 2015 .

[22]  Zeng Xiao-dong Parameter Estimation Approach for Multicomponent Signals Intercepted by Synchronous Nyquist Folding Receiver Using Local Periodic LFM Signals , 2012 .

[23]  Jun Zhu,et al.  PARAMETER ESTIMATION OF LFM SIGNAL INTER- CEPTED BY SYNCHRONOUS NYQUIST FOLDING RE- CEIVER , 2011 .

[24]  Zhu Xia Parameters estimation of LFM signals by interpolation based on FRFT , 2011 .

[25]  G. Saha,et al.  Fetal ECG extraction from single-channel maternal ECG using singular value decomposition , 1997, IEEE Transactions on Biomedical Engineering.