ICASSP 2006 - May 15-19, 2006 - Toulouse, France

Technical Program

Paper Detail

Paper:SPTM-P9.5
Session:Signal Restoration, Reconstruction and Enhancement
Time:Thursday, May 18, 14:00 - 16:00
Presentation: Poster
Topic: Signal Processing Theory and Methods: Signal Restoration, Reconstruction, and Enhancement
Title: Obtaining the Best Linear Unbiased Estimator of Noisy Signals by Non-Gaussian Component Analysis
Authors: Masashi Sugiyama, Tokyo Institute of Technology, Japan; Motoaki Kawanabe, Gilles Blanchard, Fraunhofer FIRST.IDA, Germany; Vladimir Spokoiny, Weierstrass Institute and Humboldt University, Germany; Klaus-Robert Mueller, Fraunhofer FIRST.IDA / University of Potsdam, Germany
Abstract: Obtaining the best linear unbiased estimator (BLUE) of noisy signals is a traditional but powerful approach to noise reduction. Explicitly computing BLUE usually requires the prior knowledge of the subspace to which the true signal belongs and the noise covariance matrix. However, such prior knowledge is often unavailable in reality, which prevents us from applying BLUE to real-world problems. In this paper, we therefore give a method for obtaining BLUE without such prior knowledge. Our additional assumption is that the true signal follows a non-Gaussian distribution while the noise is Gaussian.



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