Title :
Reduction of correlated noise using a library of orthonormal bases
Author :
Villemoes, Lars F.
Author_Institution :
Dept. of Math., R. Inst. of Technol., Stockholm, Sweden
fDate :
2/1/2002 12:00:00 AM
Abstract :
We study the application of a library of orthonormal bases to the reduction of correlated Gaussian noise. A joint condition on the library and the noise covariance is derived which ensures that simple thresholding in an adaptively chosen basis yields an estimation error within a logarithmic factor of the ideal risk. In the model example of a wavelet packet library and stationary noise the condition can be translated into a reverse Holder inequality on the power spectrum
Keywords :
Gaussian noise; adaptive estimation; adaptive signal processing; correlation theory; covariance analysis; interference suppression; wavelet transforms; adaptively chosen basis; correlated Gaussian noise; correlated noise; estimation error; logarithmic factor; noise covariance; orthonormal bases library; power spectrum; reverse Holder inequality; stationary noise; thresholding; wavelet packet library; Additive noise; Dictionaries; Estimation error; Gaussian noise; Libraries; Noise reduction; Speech enhancement; Speech processing; Wavelet packets; White noise;
Journal_Title :
Information Theory, IEEE Transactions on
