A statistical analysis of power-level-difference-based dual-channel post-filter estimator

By deriving the explicit expression of the probability density function (p.d.f.), this paper presents a statistical analysis of the power-level-difference-based dual-channel post-filter (PLD-DCPF) estimator. The derivation is based on the joint p.d.f. of the auto-spectra of a two-dimensional stationary Gaussian process with mean zero, where the theoretical expression is verified by numerical simulations. Using this theoretical p.d.f. expression, this paper studies the impacts of the correlative parameters on the amount of noise reduction and speech distortion. According to both the theoretical analysis results and the simulation results, four schemes are proposed to improve the performance of the traditional PLD-DCPF estimator.     

Design of robust differential microphone arrays with the Jacobi–Anger expansion

Due to their small size, differential microphone arrays (DMAs) are very attractive. Moreover, they have been effective in combating noise and reverberation. Recently, a new class of DMAs of different orders have been developed with the MacLaurin’s series and the frequency-independent patterns. However, the MacLaurin’s series does not approximate well the exponential function, which appears in the general definition of the beampattern, when the intersensor spacing is not small enough. To circumvent this problem, we propose in this paper to approximate the exponential function with the Jacobi–Anger expansion. Based on this approximation and the frequency-independent Chebyshev patterns, we derive first-, second-, and third-order DMAs. Furthermore, in order to improve the robustness of DMAs against white noise amplification, we propose to use more microphones combined with minimum-norm filters. It is also shown that the Jacobi–Anger expansion is optimal from a mean-squared error perspective. Simulations are carried out to evaluate the performance of the proposed DMAs.     

繁昌窑址附近多种瓷土成分分析

繁昌窑青白瓷胎体配方工艺一直停留在理论推理阶段，尚未有确凿的测试数据和模拟实验加以证实。为深入探究繁昌窑的胎料配方工艺，选取了繁昌窑址附近的多种瓷土样品进行了测试分析，并采用了古代制瓷工艺进行了模拟烧制。主要运用了波长色散X射线荧光光谱法(WDXRF)、红外光谱（FTIR）和X射线衍射（XRD）等光谱分析方法对瓷土成分进行测试；借助同步热分析（TG-DSC）对样品烧造温度进行了探索；通过模拟烧制陶瓷样品，对繁昌窑青白瓷的烧制工艺进行了研究，并对烧制的陶瓷样品进行显微结构分析。研究表明，繁昌窑附近的几种瓷土无论是单独制胎还是添加高岭土混合制胎，其烧成温度皆接近古代繁昌窑青白瓷的烧制温度。繁昌窑附近的瓷土是可以作为制作古代青白瓷的原料之一，但由于其中的铝含量较低，不能单独用来制作青白瓷胎体的原料，繁昌窑青白瓷在制作过程中应添加了其他富铝类原料。该研究对探索古代繁昌青白瓷的生产工艺及其蕴含的科学价值，提升繁昌窑在中国陶瓷工艺技术发展史上的地位等具有重要的学术意义，并可为现代陶瓷产业技术改进提供有益启示。     

Limit theorems for the pre-averaged Hayashi–Yoshida estimator with random sampling

We will focus on estimating the integrated covariance of two diffusion processes observed in a nonsynchronous manner. The observation data is contaminated by some noise, which possibly depends on the time and the latent diffusion processes, while the sampling times also possibly depend on the observed processes. In a high-frequency setting, we consider a modified version of the pre-averaged Hayashi–Yoshida estimator, and we show that such a kind of estimator has the consistency and the asymptotic mixed normality, and attains the optimal rate of convergence.     

Symbiotic N2 Fixation and N Uptake of Yellow and White Lupines Influenced by Spontaneous Rhizobia Infection and Substrate

Abstract

By using soil as substrate, white and yellow lupines (Lupinus albus L., Lupinus luteus L.) assimilated higher N amounts than under quartz sand conditions. This was caused by spontaneous infection of lupines with wild Rhizobia strains and also by an additional N uptake from the soil. In yellow lupines without inoculation in non-sterile soil, only the additional N uptake played a role. Differences in P and K supply as the cause of different N acquisition from soil and quartz sand could be excluded. As compared with white lupines, yellow lupines inoculated with Rhizobia had a high N₂ fixation that exceeded the effect of spontaneous infections. This result as well as the positive effect of spontaneous infections with soil-borne Rhizobia on white lupines indicates insufficient effectiveness of the strains used for inoculation on this plant species.     

Energy Transfer from the Upper Triplet States of Aromatic Molecules

The energy transfer from the upper triplet states of diphenylamine, naphthalene and triphenylene to toluene and hexene-1 is studed. Two mechanisms of dissipation transferred energy in solvents are discussed.     

Influence of high pressure treatment on rheological and other properties of egg white

Abstract

The paper deals with the influence of high pressure treatment of fresh egg white on its properties and protein composition (individual amino-acids predicted as a function of pressure and time levels). The rheological properties are changed by high pressure from Newtonian to non-Newtonian behaviour, with increasing apparent viscosity as the pressure and time increased. The pH, whipping ability, foam stability, gel strength of heat induced gels after treatment and the whole protein content, were also predicted.

The results showed that the foam stability is increased with increasing pressure and time of processing. The foam volume is also increased with pressure. The pH did not change with pressure or time of processing. Composition of proteins as indicated by individual amino-acids did not exhibit statistically important changes. Gel strength of heat induced gels prepared from previously pressured liquid whites showed no important change of values with pressure or time of treatment. The modulus of elasticity showed a decrease for samples pressured to 400 MPa for 5 up to 15 minutes.     

A central limit theorem in nonlinear filtering

It is shown that the probability law of a diffusion process conditioned on weakly corrupted observations is asymptotically Gaussian when properly scaled. The method of proof involves Fisher information matrices and a Cramér-Rao inequality.