## Noise Power Estimation

Most noise reduction algorithms which operate in the spectral domain require an accurate estimate of the noise power spectral density in order to compute the enhanced speech signal. Besides the traditional voice activity detection based methods for noise power estimation our Minimum Statistics approach has received significant attention.

The Minimum Statistics method is based on tracking minima of a short term power estimate of the noisy signal in frequency bands over time. The Minimum Statistics approach is capable of updating the noise psd estimate also during speech activity and leads to less clipping of the speech signal as there are no hard speech/no speech decisions. As long as the time window for the minimum search samples the noise floor speech cannot leak into the noise power estimate.

Our research interest is the development of improved noise estimation techniques which provide a good balance between a small estimation error and good tracking of non-stationary noise.

The Figures below
depict the magnitude-squared Discrete Fourier coefficients,
the smoothed coefficients and a noise power estimate
for a noisy speech signal in a single frequency bin
vs. time. The noise power estimate was obtained by tracking
spectral minima over time. From the plot on the left
hand side we find that the minima are biased with respect
to the mean. For an accurate noise power estimate this
bias must be compensated. The Figure on the right hand
side shows the noise power estimate after bias compensation.
Note that the noise power estimator is capable to track
non-stationary noise also during speech activity.

References

Martin, R.: Bias Compensation
Methods for Minimum Statistics Noise Power Spectral
Density Estimation, Signal Processing, Elsevier, to
appear

Martin, R.: "Noise
Power Spectral Density Estimation Based on Optimal Smoothing
and Minimum Statistics", IEEE Trans. Speech and
Audio Processing, Vol. 9, No. 5, July 2001, pp. 504-512

Martin, R.; Lotter, T.: "Optimal recursive smoothing
of non-stationary periodograms", Proc. Intl. Workshop
Acoustic Echo Control and Noise Reduction (IWAENC),
2001.

Martin, R.: "Spectral Subtraction Based on Minimum
Statistics", EUSIPCO-94, Edinburgh, Scotland, 13.-16.
September 1994, pp. 1182-1185

Martin, R.: "An Efficient Algorithm to Estimate the Instantaneous SNR of Speech Signals", EUROSPEECH-93, Berlin, 21.-23. September 1993, pp. 1093-1096