A notion of quantum black noise is considered. Quantum black noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum white noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum black noise describes corrections to the leading term. We obtain and study generalized quantum stochastic equations descr...

A notion of quantum multipole (in particular, dipole) noise is considered. Quantum dipole noise is an analogue of quantum white noise but it acts in a Fock space with indefinite metric. Quantum white noise describes the leading term in the stochastic limit approximation to quantum dynamics while quantum multipole noise describes corrections to the leading term. We obtain and study generalized q...

In the recent paper [3] by Asai et al., the growth order of holomorphic functions on a nuclear space has been considered. For this purpose, certain classes of growth functions u are introduced and many properties of Legendre transform of such functions are investigated. In [4], applying Legendre transform of u under the conditions (U0), (U2) and (U3) (see §2), the Gel’fand triple [E ]u ⊂ (L) ⊂ ...

The Boussinesq equation is a mathematics model of thermohydraulics, which consists of equations of fluid and temperature in the Boussinesq approximation.The deterministic case has been studied systematically by many authors (e.g., see [1– 3]). However, in many practical circumstances, small irregularity has to be taken into account.Thus, it is necessary to add to the equation a random force, wh...

In this paper we explore speech dereverberation techniques whose principle is the recovery of the envelope modulations of the original (anechoic) speech [3],[4]. Based on our previous experience with such kind of processing for additive noise reduction applications, we apply a data designed lterbank technique [2] to the reverberant speech. Comparing our results with other works we discuss the e...

The results of application of multichannel Kalman filtering to reduction of uncorrelated noise in magnetotelluric recordings are discussed in this article. Magnetotelluric method of Earth structure recognition is shortly presented together with the its most popular measurement method called the remote reference method. The basic theory of nonstationar, discrete Kalman filter and its implementat...

Reflection coefficients are observed in nature to have stochastic behavior that departs significantly from the white noise model. Conventional deconvolution methods, however, assume reflectivity to be a white noise process. In this paper we analyze the deconvolution process, study the implications of the assumption of white noise, and show that the conventional operator can recover only the whi...

The theoretic foundation of traditional microphone array postfilters is the signal model in which the noise between sensors is assumed to be uncorrelated. However, this model is inaccurate in real environments since the correlated noise exists. In this paper, a more generalized signal model which considers both the correlated and uncorrelated noise is introduced. A general expression of the mic...

In this paper an overview of the uncertainty in the results obtained with the histogram test of Analog to Digital Converters is presented. The effect of phase noise, input equivalent additive noise and random phase difference on the number of counts of the cumulative histogram is shown. Theoretical and experimental results are presented.