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The residual spectrum is again subjected to group delay analysis and the next candidate pitch is again estimated using modified group delay processing.
Assuming that A0 has a purely residual spectrum we describe the set of eigenvalues common to all self-adjoint extensions from A. This abstract result is used to show that the one-dimensional periodic Schrödinger operator with local point interactions is absolutely continuous.
The residual spectrum does not exist in our model.
Since the residual spectrum consists of the aliased signal components (and noise), one can assume that the aliasing artifacts (or noise) are audible, if the residual spectrum exceeds the auditory spectrum estimate in magnitude at any frequency.
Finally, the DATK creates a residual spectrum by removing the original sine and the nonaliased distortion components, and displays the residual spectrum in the same figure with the auditory spectrum estimate.
Thus, as T has no residual spectrum, we have that the continuous spectrum of T is [ 0, ∞ ). □.
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Residual spectra are shown below.
These differences can be graphically displayed as the so-called residual spectra or the error spectra.
Figure 3 showed that there is no obvious line-width change of gelatin residual spectra in a gel state at room temperature.
The overall visible characteristics of the residual spectra are similar to those obtained from synthetic mixtures.
For the case of multiple, related n-dimensional data sets, the data ensemble consists of a set of three pseudo (n+1 -dimensional data, model, an+1 -dimensionaltra.
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CEO of Professional Science Editing for Scientists @ prosciediting.com