Wideband LFM Signal Parameter Estimation Based on Compressed Sensing Theory

Article Preview

Abstract:

Compressed sensing (CS) theory breaks through the limitations of the traditional Nyquist sampling theorem, and accomplishes the compressed sampling and reconstruction of signals based on sparsity or compressibility. In this paper, CS theory is used to do the parameter estimation of wideband Linear Frequency Modulated (LFM) signal in order to decrease the sampling pressure. A novel method that reconstructs the edge information of the LFM spectrum based on wavelet transform and CS theory is proposed. On the basis that the wideband LFM signal has approximate rectangular spectrum, the wavelet-based edge detection is introduced to provide sparse representation for the signal spectrum. The edges of the spectrum can be reconstructed by the CS reconstruction algorithms. Consequently, the initial frequency and final frequency of wideband LFM signal can be estimated with high estimation precision. The effectiveness of the proposed method is confirmed with numerical simulation.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

1160-1165

Citation:

Online since:

April 2014

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] X.G. Xia. Discrete chirp-Fourier transform and its application to chirp rate estimation[J]. IEEE Transactions on Signal Processing, 2000, 48(11): 3122-3133.

DOI: 10.1109/78.875469

Google Scholar

[2] S.S. Abeysekera, S.M. Raihan. Efficient Wideband Parameter Estimation Using Arbitrary Enveloped LFM Signals via Hermite Decompositions[J]. IEEE Journal of oceanic engineering, 2009, 34(1): 63-74.

DOI: 10.1109/joe.2008.2010211

Google Scholar

[3] F.G. Geroleo and M. Brandt-Pearce Detection and estimation of LFMCW radar signals[J]. IEEE Transactions on Aerospace and Electronic Systems, 2012, 48(1): 405-418.

DOI: 10.1109/taes.2012.6129644

Google Scholar

[4] X.X. Shen, R.Q. Ye and B. Tang. Parameters estimation of wideband/ ultra-wideband LFM signal based on spectrum compressing receiving[J]. Journal of Electronics & Information Technology, 2007, 29(1): 23-25.

Google Scholar

[5] X.X. Shen, R.Q. Ye, B. Tang, et al. An algorithm for estimation of wideband LFM signal parameters based on subsampling[J]. Chinese Journal of Radio Science, 2007, 22(1): 43-46.

Google Scholar

[6] H.C. Liu and H. Liang. Estimation and simulation study of LFM signal parameters[J]. Computer Simulation, 2011, 28(2): 157-159.

Google Scholar

[7] A.C. Gurbuz, J.H. McClellan and V. Cevher. A Compressive Beamforming Method[C]. IEEE Conf. on Acoustics, Speech, and Signal Processing (ICASSP), Las Vegas, 2008, 2617-2620.

DOI: 10.1109/icassp.2008.4518185

Google Scholar

[8] Z. Yang and W.Z. Cheng. DOA estimation of LFM signals based on compressed sensing[J]. Journal of Application Research of Computers, 2009, 26 (12): 4642-4644.

Google Scholar

[9] B. Liu, P. Fu, C. Xu, et al. Parameter estimation of LFM signal with compressive measurements[J]. Journal of Convergence Information Technology, 2011, 6(3): 303-310.

Google Scholar

[10] S. Mallat and W. Hwang. Singularity detection & processing with wavelets[J]. IEEE Trans. Info. Theory, 1992, 38: 617-643.

DOI: 10.1109/18.119727

Google Scholar

[11] Y.C. Eldar and G. Kutyniok . Compressed sensing: theory and applications. Cambridge University Press, (2012).

Google Scholar

[12] Donoho and L. David. Compressed sensing[J]. IEEE Transaction on Information Theory, 2006, 52(4): 1289-1306.

Google Scholar