Multiresolution Transform based Denoising in Direction Finding

In this paper, multi-resolution transforms based denoising followed by an improved method of Direction of Arrival (DOA) estimation is investigated. The predominant subspace method, Multiple Signal Classification (MUSIC) algorithm is very practical and efficient for direction of arrival estimation, but it fails to determine the direction at low Signal to Noise Ratio (SNR). The pre-eminence of MUSIC algorithm is used to upgrade the resolution of direction of arrival under adverse noisy situations. The noise is suppressed and thereby the gain of the received signal from sensors is improved by ridgelet transform and GHM (Geronimo J.S, Hardin D.P and Massopust P.R) multiwavelet transform based denoising. The simulation results of denoising and pseudo spectrum of the algorithm delivers improved performance in terms of root mean square error (RMSE), spectrum function, bias and gain. SNR, snapshots, array elements are the input parameters. General Terms Direction of arrival, multiresolution transform based denoising

[1]  Thomas L. Marzetta,et al.  Detection, Estimation, and Modulation Theory , 1976 .

[2]  J. Capon Maximum-likelihood spectral estimation , 1979 .

[3]  Bjorn Ottersten,et al.  Performance analysis of the total least squares ESPRIT algorithm , 1991, IEEE Trans. Signal Process..

[4]  Emmanuel J. Candès,et al.  The curvelet transform for image denoising , 2002, IEEE Trans. Image Process..

[5]  M. K. Ibrahim,et al.  Wavelet and multiwavelet watermarking , 2007 .

[6]  D. Hardin,et al.  Fractal Functions and Wavelet Expansions Based on Several Scaling Functions , 1994 .

[7]  Jo Yew Tham,et al.  A general approach for analysis and application of discrete multiwavelet transforms , 2000, IEEE Trans. Signal Process..

[8]  G. Strang,et al.  THE APPLICATION OF MULTIWAVELET FILTER BANKS TO IMAGE PROCESSING ∗ , 1995 .

[9]  David Zhang,et al.  Two-stage image denoising by principal component analysis with local pixel grouping , 2010, Pattern Recognit..

[10]  Minh N. Do,et al.  The finite ridgelet transform for image representation , 2003, IEEE Trans. Image Process..

[11]  Gilbert Strang,et al.  Short wavelets and matrix dilation equations , 1995, IEEE Trans. Signal Process..

[12]  Jiao Licheng,et al.  Adaptive multiwavelet prefilter , 1999 .

[13]  Qing Ling,et al.  DOA Estimation Using a Greedy Block Coordinate Descent Algorithm , 2012, IEEE Transactions on Signal Processing.

[14]  Balázs Kégl,et al.  Image denoising with complex ridgelets , 2007, Pattern Recognit..

[15]  Licheng Jiao,et al.  Multiwavelet neural network and its approximation properties , 2001, IEEE Trans. Neural Networks.

[16]  Shuyuan Yang,et al.  Geometrical multi-resolution network based on ridgelet frame , 2007, Signal Process..

[17]  Thomas Kailath,et al.  ESPIRT-estimation of signal parameters via rotational invariance techniques , 1989 .

[18]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .