Frequency domain ICA based signal restoration from non-linearly distorted acoustic signals

Independent Component Analysis (ICA) is a class of blind source separation which can be successfully used for extracting unknown independent source signals from a set of signal mixtures. In this study, we introduce a new method for separation of acoustic source signals using frequency domain complex valued ICA. Although the conventional time domain ICA algorithms can be effectively used for extraction of the source signals from a set of linearly mixed signal mixtures, such algorithms fail under non-linear mixing conditions. The proposed method is capable of extracting acoustic source signals from several non-linearly distorted and corrupted audio signals. The results show that the frequency domain ICA has a superior performance compared to the conventional real valued time domain ICA algorithm under non-linear conditions.

[1]  Robert F. H. Fischer,et al.  Precoding and Signal Shaping for Digital Transmission , 2002 .

[2]  Richard M. Stern,et al.  DISTORTION-CLASS WEIGHTED ACOUSTIC MODELING FOR ROBUST SPEECH RECOGNITION UNDER GSM RPE-LTP CODING , 1999 .

[3]  Paris Smaragdis,et al.  Blind separation of convolved mixtures in the frequency domain , 1998, Neurocomputing.

[4]  Jagath C. Rajapakse,et al.  Complex ICA-R , 2010, The 2010 International Joint Conference on Neural Networks (IJCNN).

[5]  Nuggehally Sampath Jayant,et al.  Effects of Packet Losses in Waveform Coded Speech and Improvements Due to an Odd-Even Sample-Interpolation Procedure , 1981, IEEE Trans. Commun..

[6]  Les E. Atlas,et al.  Modulation decompositions for the interpolation of long gaps in acoustic signals , 2008, 2008 IEEE International Conference on Acoustics, Speech and Signal Processing.

[7]  Erkki Oja,et al.  Independent component analysis: algorithms and applications , 2000, Neural Networks.

[8]  M. P. B. Ekanayake,et al.  A generalized ICA algorithm for extraction of super and sub Gaussian source signals from a complex valued mixture , 2013, 2013 IEEE 8th International Conference on Industrial and Information Systems.

[9]  B. Farhang-Boroujeny,et al.  Adaptive Filters: Theory and Applications , 1999 .

[10]  Aapo Hyvärinen,et al.  Independent Component Analysis: A Tutorial , 1999 .

[11]  Gerhard Merz Fast Fourier Transform Algorithms with Applications , 1983 .

[12]  H. Fischer A History of the Central Limit Theorem: From Classical to Modern Probability Theory , 2010 .

[13]  James V. Stone Independent Component Analysis: A Tutorial Introduction , 2007 .

[14]  Heng Tao Shen,et al.  Principal Component Analysis , 2009, Encyclopedia of Biometrics.

[15]  D. N. Kim,et al.  Fast Fourier Transform - Algorithms and Applications , 2010 .

[16]  Paulo A. A. Esquef,et al.  Interpolation of Long Gaps in Audio Signals Using Line Spectrum Pair Polynomials , 2004 .