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The multitaper estimated spectrum can be further refined by wavelet thresholding techniques [29] [31].
V T was calculated from the estimated spectrum as V T = ∑ j = 1 M α j β j (4).
In the constraint, the estimated spectrum vector is divided into sections with different length according to the a priori information about fixed spectrum allocation.
This estimated spectrum is subtracted from the belt microphone spectrum to get the error spectrum given by E(mu,k) = Y(mu,k) - widehat{D}(mu,k), (2).
In HMMSS, the structure of the estimated spectrum corresponds to the average of different speech spectra in the training database due to the use of the mean vector.
Reis [94] uses a genetic algorithm, which generates random music, estimates its spectrum and uses the Euclidean distance from the estimated spectrum to the true spectra to evaluate the transcription proposals.
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A more detailed study of the theoretically estimated spectra is given in, for example, ref. 28.
In Figure19, we compare the estimated spectrums based on fullband, two-, and four-subbands ARMA lattice filtering.
The average values of these estimated spectra of impulse responses and their difference are shown in Table 9.
When noise is present, Wiener filtering is employed instead, since the estimated spectra can effectively be exploited.
Table 9 Average values of the estimated spectra of impulse responses from noise-free and additive noise conditions and their difference H ̄ 1 H ̄ 2 H ̄ n 0.087 0.123 0.174.
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