Title
Examples of optimal noise reduction filters derived from the squared Pearson correlation coefficient
Abstract
This paper studies the problem of single-channel noise reduction in the time domain. Based on some orthogonal decomposition developed recently and the squared Pearson correlation coefficient (SPCC), several noise reduction filters are derived. We will show that the optimization of the SPCC leads to the Wiener, minimum variance distortionless response (MVDR), minimum noise (MN), minimum uncorrelated speech and noise (MUSN), and linearly constrained minimum variance (LCMV) filters. We also compare the Wiener and MVDR filters derived from the SPCC to their counterparts derived from the mean-square error (MSE) criterion. Simulations are provided to illustrate the performance of all the deduced noise reduction filters.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6853858
ICASSP
Keywords
Field
DocType
optimisation,signal denoising,optimal filters,optimal noise reduction filter,minimum uncorrelated speech and noise filter,time domain analysis,mvdr filter,squared pearson correlation coefficient (spcc),minimum variance distortionless response filter,wiener filters,lcmv filter,minimum noise filter,spcc,single-channel noise reduction problem,optimization,orthogonal decomposition,mn filter,decomposition,musn filter,mean-square error criterion,squared pearson correlation coefficient,filtering theory,speech enhancement,mse criterion,linearly constrained minimum variance filter,correlation methods,mean square error methods,wiener filter,noise reduction,speech,manganese,signal to noise ratio
Speech enhancement,Noise reduction,Applied mathematics,Minimum-variance unbiased estimator,Pearson product-moment correlation coefficient,Square (algebra),Salt-and-pepper noise,Artificial intelligence,Time domain,Wiener filter,Pattern recognition,Statistics,Mathematics
Conference
ISSN
Citations 
PageRank 
1520-6149
0
0.34
References 
Authors
5
4
Name
Order
Citations
PageRank
Jiaolong Yu100.68
Jacob Benesty21386136.42
Gongping Huang37613.39
Jingdong Chen41460128.79