Adaptive robust impulse noise filtering

It is well known that when data is contaminated by non-Gaussian noise, conventional linear systems may perform poorly. The paper presents an adaptive robust filter (adaptive preprocessor) for canceling impulsive components when the nominal process (or background noise) is a correlated, possibly nonstationary, Gaussian process. The proposed preprocessor does not require iterative and/or batch processing or prior knowledge about the nominal Gaussian process; consequently, it can be implemented in real time and adapt to changes in the environment. Based on simulation results, the proposed adaptive preprocessor shows superior performances over presently available techniques for cleaning impulse noise. Using the proposed adaptive preprocessor to clean the impulsive components in received data samples, conventional linear systems based on the Gaussian assumption can work in an impulsive environment with little if any modification. The technique is applicable to a wide range of problems, such as detection, power spectral estimation, and jamming or clutter suppression in impulsive environments. >

[1]  D. W. Tufts,et al.  Detection in correlated Gaussian plus impulsive noise , 1992 .

[2]  J. Miller,et al.  Robust Detectors for Signals in Non-Gaussian Noise , 1977, IEEE Trans. Commun..

[3]  Adam J. Efron,et al.  Detection in impulsive noise based on robust whitening , 1994, IEEE Trans. Signal Process..

[4]  Suresh N. Gupta,et al.  A Model of HF Impulsive Atmospheric Noise , 1974 .

[5]  A. J. Efron,et al.  Pre-whitening for detection in correlated plus impulsive noise , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  Nuggehally Sampath Jayant Average- and Median-Based Smoothing Techniques for Improving Digital Speech Quality in the Presence of Transmission Errors , 1976, IEEE Trans. Commun..

[7]  P. J. Huber Robust Estimation of a Location Parameter , 1964 .

[8]  D. Middleton,et al.  Man-Made Noise in Urban Environments and Transportation Systems: Models and Measurements , 1973, IEEE Trans. Commun..

[9]  F. Hampel A General Qualitative Definition of Robustness , 1971 .

[10]  Harold Vincent Poor,et al.  Narrowband interference suppression in impulsive channels , 1992 .

[11]  F. Hampel The Influence Curve and Its Role in Robust Estimation , 1974 .

[12]  E. Gilbert Capacity of a burst-noise channel , 1960 .

[13]  V. Yohai,et al.  Fisher Consistency of Am-Estimates of the Autoregression Parameter Using Hard Rejection Filter Cleaners , 1989 .

[14]  H. Vincent Poor,et al.  Nonlinear techniques for interference suppression in spread-spectrum systems , 1990, IEEE Trans. Commun..

[15]  D. Thomson,et al.  Robust-resistant spectrum estimation , 1982, Proceedings of the IEEE.

[16]  H. Sorenson,et al.  Recursive bayesian estimation using gaussian sums , 1971 .

[17]  P. F. Swaszek,et al.  Detection of Signals in the Presence of Strong, Signal-Like Interference and Impulse Noise , 1989 .

[18]  C. Masreliez Approximate non-Gaussian filtering with linear state and observation relations , 1975 .

[19]  Allan R. Wilks,et al.  A characterization of Arctic undersea noise , 1985 .

[20]  G. Box NON-NORMALITY AND TESTS ON VARIANCES , 1953 .

[21]  B. Stuck,et al.  A statistical analysis of telephone noise , 1974 .

[22]  Ludwik Kurz,et al.  An adaptive robustizing approach to kalman filtering , 1983, Autom..

[23]  M. Otto,et al.  Outliers in Time Series , 1972 .

[24]  R. Hogg An Introduction to Robust Estimation , 1979 .

[25]  Lee K. Jones Asymptotically optimal detector of memory p for k-dependent random signals (Corresp.) , 1980, IEEE Trans. Inf. Theory.