De-noising by wiener filter and wavelet based methods for emitter localization systems

The Cross Ambiguity Function (CAF) used in signal location estimation is a 2-dimensional complex-valued function of TDOA and FDOA. In TDOA/FDOA systems, pairs of sensors share data to compute the CAF. In practice, the received signals are noisy and this noise perturbs the CAF from its ideal shape which is a big main lobe and some small side lobes. At low SNRs, the CAF main lobe is buried in the noise and the location estimation accuracy is poor. In this paper, by exploiting some of the CAF properties, we de-noise the CAF itself to increase the estimation performance. We use Wiener filter and wavelet based methods for de-noising. The impact of such de-noising methods on the overall location accuracy is assessed via simulations.

[1]  Glenn D. Hartwell Improved Geo-Spatial Resolution Using a Modified Approach to the Complex Ambiguity Function (CAF) , 2005 .

[2]  Anthony J. Weiss,et al.  Direct position determination of narrowband radio frequency transmitters , 2004, IEEE Signal Processing Letters.

[3]  Steven Kay,et al.  Fundamentals Of Statistical Signal Processing , 2001 .

[4]  Mark L. Fowler,et al.  An SVD approach for data compression in emitter location systems , 2011, 2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR).

[5]  Mark L. Fowler,et al.  Data compression for complex ambiguity function for emitter location , 2010, Optical Engineering + Applications.

[6]  Seymour Stein Differential delay/Doppler ML estimation with unknown signals , 1993, IEEE Trans. Signal Process..

[7]  Don Torrieri,et al.  Statistical Theory of Passive Location Systems , 1984, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Mark L. Fowler,et al.  Exploiting cross ambiguity function properties for data compression in emitter location systems , 2011, 2011 45th Annual Conference on Information Sciences and Systems.

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

[10]  Anthony J. Weiss,et al.  Direct geolocation of stationary wideband radio signal based on time delays and Doppler shifts , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

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

[12]  S. Stein Algorithms for ambiguity function processing , 1981 .