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2003 Technical Reports

Nonlinear Noise Compensation in Feature Domain with Numerical Methods

Hui Jiang

Technical Report CS-2003-02

York University

February 6, 2003


In this study, we propose to compensate additive noise in the log-spectral domain based on its original non-linear distortion function. We assume the clean speech follows a Gaussian mixture model in the log-spectral domain and noise signal is a single Gaussian distribution. Given any noisy speech observation, we estimate the clean speech by using the original nonlinear distortion function among noise, clean and noisy speech based on the MMSE (minimum mean square error) criterion. The MMSE estimation of clean speech ends up with a complex integral. In this work, we propose an efficient algorithm to use some numerical methods to solve the integral. At last, the estimated clean speech will be mapped from the log-spectral domain into the MFCC domain, and sent to a speech recognizer for the recognition results.

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