Reduction of Additive Noise in the Digital Processing of Speech Avner Halevy AMSC 664 Final Presentation May 2009 Dr. Radu Balan Department of Mathematics Center for Scientific Computation and Math. Modeling 1

Background and Goal Digital speech signals Clean signals are degraded by noise – From environment – From processing (recording, transmitting, etc.) Speech enhancement: reduce noise without distorting original (clean) signal

Scope and Goal Focus on additive white Gaussian noise Improve quality and intelligibility Use short time analysis (frames) Explore two algorithms: – Spectral Subtraction – Iterative Wiener Filtering Test objectively using TIMIT 3

Spectral Subtraction Estimate the magnitude of the noise spectrum when speech is absent Subtract the estimate from the magnitude of the spectrum of the noisy signal Keep the noisy phase Inverse Fourier to obtain enhanced signal in time domain 4

Spectral Subtraction 5

Wiener Filter - Theory 6

Iterative Wiener - Theory 7

Implementation, Validation, Testing Both algorithms were implemented in MATLAB on a standard PC Implementation validated using zero noise, stability ensured using small nonzero noise Testing based on TIMIT Main objective measure used: segmental SNR

Testing Clean Noisy 9

Comparison of SS and IW 10

Comparison of SS and IW 11 Spectral Subtraction Iterative Wiener

Comparison of Results 12

Comparison of Results

Convergence of IW: Female, 1 st sent.

Convergence of IW: Female, 2 nd sent.

Convergence of IW: Male, 1 st sent.

Summary of Iteration Results

Conclusions Objectively, IW produced better results Subjectively, both methods suffer from severe artifacts (musical noise) Possible improvement by more sophisticated noise estimation

Questions ?

Bibliography [1] Deller, J., Hansen, J., and Proakis, J. (2000) Discrete Time Processing of Speech Signals, New York, NY: Institute of Electrical and Electronics Engineers [2] Quatieri, T. (2002) Discrete Time Speech Signal Processing, Upper Saddle River, NJ: Prentice Hall [3] Loizou, P. (2007) Speech Enhancement: Theory and Practice, Boca Raton, FL: Taylor & Francis Group [4] Rabiner, L., Schafer, R. (1978) Digital Processing of Speech Signals, Englewood Cliffs, NJ: Prentice Hall [5] Vaseghi, S. (1996) Advanced Signal Processing and Digital Noise Reduction, Stuttgart, Germany: B.G. Teubner [6] Lim, J. and Oppenheim, A.V. (1978) All-pole modeling of degraded speech, IEEE Trans. Acoust. Speech Signal Process., 26(3),