Approximating a spectral envelope via regularized discrete cepstrum coefficients has been proposed by previous researchers. In this paper, we study two problems encountered in practice when adopting this approach to estimate the spectral envelope. The first is which spectral peaks should be selected, and the second is which frequency axis scaling function should be adopted. After some efforts o...

In this paper, the third kind of Darboux transformation of generalized Broer–Kaup equations is derived from the corresponding spectral problem. By virtue of this Darboux transformation, new 2N -soliton solutions with parameters of the generalized Broer–Kaup equations are obtained. Although 2N is an even number, it is graphically shown that in the cases of N= 1 and N = 2 the obtained 2N -soliton...

We present a simple calculation of the Lorentz transformation of the spectral distribution of blackbody radiation at temperature T. Here we emphasize that T is the temperature in the blackbody rest frame and does not change. We thus avoid the confused and confusing question of how temperature transforms. We show by explicit calculation that at zero temperature the spectral distribution is invar...

Using Bäcklund transformation the spectral property of the KP-I lump solution is completely analyzed. It is proved that the lump solution is nondegenerate and has Morse index one. As a consequence we show that it is orbitally stable.

This paper describes the wavelet transformation of IR spectra with the Daubechies analyzing wavelet functions as a feature extracting method that successfully reduces the spectral data more than 20-fold with a significant improvement in the classification process.

It is shown that if E is any subset of N such that either 1 ∈ E or 2 ∈ E then there is a mixing transformation whose set of spectral multiplicities is E.

We study an integrable case of n-particle Toda lattice: open chain with boundary terms containing 4 parameters. For this model we construct a Bäcklund transformation and prove its basic properties: canonicity, commutativity and spectrality. The Bäcklund transformation can be also viewed as a discretized time dynamics. Two Lax matrices are used: of order 2 and of order 2n + 2, which are mutually...

We apply the feature selection technique of Fukunaga and Koontz an extension of the Karhunen Lo eve transformation to spoken letter recognition Feedforward networks trained for letter pair discrimination with the new features show up to reduction in classi er error rate relative to networks trained with spectral coe cients This performance increase is accompanyed by a reduction in feature dimen...

The higher order supersymmetric partners of a stationary periodic potential are studied. The transformation functions associated to the band edges do not change the spectral structure. However, when the transformation is implemented for factorization energies inside of the forbidden bands, the final potential will have again the initial band structure but it can have bound states encrusted into...

The problem of giving a spectral factorization of a class of matrices arising in Wiener filtering theory and network synthesis is tackled via an kgebralc procedure. A quadratic matrix quation involving only constant matrices is shown to possess solutions which directly define a solution to the spectral factorization problem. A spectral factor with a stable inverse is defined by that unique solu...