This contribution presents a time varying optimal smoothing parameter for periodograms which are smoothed over frequency and time. While the spectral smoothing is implemented as an average over adjacent Discrete Fourier Transform (DFT) bins the temporal smoothing is achieved by means of a first order recursive system. The smoothing parameter of this recursive system minimizes a conditional mean square error criterion and is optimal for chi-square distributed frequency domain data. The optimal smoothing is especially useful for tracking the power spectral density of noisy speech signals.
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