An Improved Wavelet Denoising Algorithm for Wideband Radar Targets Detection

A novel denoising technique based on wavelet transform modulus maxima (WTMM) is proposed for processing wideband radar spread targets detection signal in a clutter environment. Combined with the improved adaptive Bayes–Shrink threshold and Lipschitz exponents, we propose the path pruned approach at each scale terms as full-scale to split the signal. The estimation of WTMM over each scale has been optimized, thus, the signal and the noise can be split effectively. Additionally, to improve the computational efficiency, a fast method based on a piecewise polynomial interpolation algorithm is applied for the split signal reconstruction. Statistical results are quite promising and perform better than the conventional denoising algorithms: compared with the classical WTMM algorithm, the improved WTMM full-scale denoising algorithm not only increases the signal-to-noise (SNR) ratio by over 10 % but also reduces the processing time by 88 % and reduces the root-mean-square-error (RMSE) by over 35 %. More generally, the proposed algorithm has better performance than that of several typical algorithms in its denoising quality and singularity detection.

[1]  Andrew P. Witkin,et al.  Scale-space filtering: A new approach to multi-scale description , 1984, ICASSP.

[2]  Harish Parthasarathy,et al.  Wavelet Based Transistor Parameter Estimation Using Second Order Volterra Model , 2011, Circuits Syst. Signal Process..

[3]  Stéphane Mallat,et al.  Singularity detection and processing with wavelets , 1992, IEEE Trans. Inf. Theory.

[4]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[5]  Lingjiang Kong,et al.  GLRT-based Detection Algorithm for Polarimetric MIMO Radar Against SIRV Clutter , 2012, Circuits Syst. Signal Process..

[6]  D N Vizireanu,et al.  Simple, fast and accurate eight points amplitude estimation method of sinusoidal signals for DSP based instrumentation , 2012 .

[7]  F.B. Tuteur,et al.  Wavelet transformations in signal detection , 1988, ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing.

[8]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[9]  Chun Zhao,et al.  Four-Channel Tight Wavelet Frames Design Using Bernstein Polynomial , 2012, Circuits, Systems, and Signal Processing.

[10]  Philippe Forster,et al.  Covariance Structure Maximum-Likelihood Estimates in Compound Gaussian Noise: Existence and Algorithm Analysis , 2008, IEEE Transactions on Signal Processing.

[11]  Jianyu Yang,et al.  The Rao and Wald Tests Designed for Distributed Targets with Polarization MIMO Radar in Compound-Gaussian Clutter , 2012, Circuits Syst. Signal Process..

[12]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[13]  G. A Theory for Multiresolution Signal Decomposition : The Wavelet Representation , 2004 .

[14]  G. Ramachandra Reddy,et al.  Spectral analysis of atmospheric radar signal using higher order spectral estimation technique , 2001, IEEE Trans. Geosci. Remote. Sens..

[15]  Giuseppe Ricci,et al.  GLRT-based adaptive detection algorithms for range-spread targets , 2001, IEEE Trans. Signal Process..

[16]  Ying Yang,et al.  Neighboring Coefficients Preservation for Signal Denoising , 2012, Circuits Syst. Signal Process..

[17]  Gaoyong Luo Wavelet Notch Filter Design of Spread-Spectrum Communication Systems for High-Precision Wireless Positioning , 2012, Circuits Syst. Signal Process..

[18]  D N Vizireanu,et al.  A fast, simple and accurate time-varying frequency estimation method for single-phase electric power systems , 2012 .

[19]  P. Massart,et al.  From Model Selection to Adaptive Estimation , 1997 .

[20]  Harish Parthasarathy,et al.  Perturbation Approach to Ebers–Moll Equations for Transistor Circuit Analysis , 2010, Circuits Syst. Signal Process..

[21]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[22]  Jianyu Yang,et al.  AR-model-based adaptive detection of range-spread targets in compound Gaussian clutter , 2011, Signal Process..

[23]  Cui Guo-hui Fast Reconstruction Algorithm Based on Hermite Interpolation from Modulus Maxima of Wavelet Transform , 2005 .

[24]  Martin Vetterli,et al.  Adaptive wavelet thresholding for image denoising and compression , 2000, IEEE Trans. Image Process..

[25]  I. Johnstone,et al.  Adapting to Unknown Smoothness via Wavelet Shrinkage , 1995 .

[26]  G. R. Reddy,et al.  Multitaper spectral analysis of atmospheric radar signals , 2004 .

[27]  Mohammed Bahoura,et al.  FPGA-Implementation of Discrete Wavelet Transform with Application to Signal Denoising , 2012, Circuits Syst. Signal Process..

[28]  Franz B. Tuteur Wavelet transformations in signal detection , 1988 .

[29]  Stéphane Mallat,et al.  Characterization of Signals from Multiscale Edges , 2011, IEEE Trans. Pattern Anal. Mach. Intell..

[30]  Dragos Nicolae Vizireanu,et al.  Is “five-point” estimation better than “three-point” estimation? , 2013 .

[31]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[32]  Harish Parthasarathy,et al.  Wavelet-Based Transistor Parameter Estimation , 2010, Circuits Syst. Signal Process..