A method for extracting human gait series from accelerometer signals based on the ensemble empirical mode decomposition

In this paper,the ensemble empirical mode decomposition(EEMD) is applied to analyse accelerometer signals collected during normal human walking.First,the self-adaptive feature of EEMD is utilised to decompose the accelerometer signals,thus sifting out several intrinsic mode functions(IMFs) at disparate scales.Then,gait series can be extracted through peak detection from the eigen IMF that best represents gait rhythmicity.Compared with the method based on the empirical mode decomposition(EMD),the EEMD-based method has the following advantages:it remarkably improves the detection rate of peak values hidden in the original accelerometer signal,even when the signal is severely contaminated by the intermittent noises;this method effectively prevents the phenomenon of mode mixing found in the process of EMD.And a reasonable selection of parameters for the stop-filtering criteria can improve the calculation speed of the EEMD-based method.Meanwhile,the endpoint effect can be suppressed by using the auto regressive and moving average model to extend a short-time series in dual directions.The results suggest that EEMD is a powerful tool for extraction of gait rhythmicity and it also provides valuable clues for extracting eigen rhythm of other physiological signals.     

Structural and physical properties of ZnO:Al films grown on glass by direct current magnetron sputtering with the oblique target

ZnO:Al films were deposited on glass substrates at 300 K and 673 K by direct current magnetron sputtering with the oblique target. The Ar pressure was adjusted to 0.4 Pa and 1.2 Pa, respectively. All the films have a wurtzite structure and grow with a c-axis orientation in the film growth direction. The films grow mainly with columnar grains perpendicular to the substrate and some granular grains also exist in the films. The film deposited at 673 K and 0.4 Pa has the largest grains whereas that prepared at 300 K and 0.4 Pa consists of the smallest grains and is porous. The films exhibit an n-type semiconducting behavior at room temperature. The ZnO:Al film deposited at 673 K and 0.4 Pa has the lowest resistivity (3.40 × 10⁻³ Ω cm), the highest free electron concentration (4.63 × 10²⁰ cm⁻³) and a moderate Hall mobility (4.0 cm² V⁻¹ s⁻¹). The film deposited at 300 K and 0.4 Pa has the highest resistivity and the lowest free electron concentration and Hall mobility. A temperature dependence of the resistivity reveals that the carrier transport mechanism is Mott’s variable range hopping in the temperature region below 100 K and thermally activated band conduction above 215 K. The activation energy for the film deposited at 300 K and 0.4 Pa is 41 meV and that for the other films is about 35 meV. All the films have an average optical transmittance of over 85% in the visible wavelength range. The absorption edge of the film deposited at 300 K and 0.4 Pa shifts to the longer wavelength (redshift) relative to the films prepared under the other conditions.     

红外光谱探究常见污染气体对丝织品结构的影响

丝织品是由丝蛋白质组成,高温、高湿及污染物等因素会使其结构发生变化。为了科学地评估博物馆中污染气体对丝织品结构的影响,采取人工模拟实验制备二氧化氮、二氧化硫、乙酸和氨气常见博物馆污染气体环境,利用傅里叶红外光谱（FTIR）从丝蛋白质肽链结构、二级结构等方面探讨4种污染气体对丝织品蛋白质结构的影响。实验结果表明,二氧化氮老化30 h后样品的红外光谱在1 382 cm-1波数附近出现甲基对称变角振动吸收峰,而其他气体老化50 d的丝织品仍未产生甲基对称变角振动,说明二氧化氮对丝织品破坏最严重。所有污染气体老化后,样品的红外光谱在975和999 cm-1丝蛋白-Gly-Ala-和-Gly-Gly-肽链（一级）结构特征吸收峰处均有不同程度减弱,但碱性气体氨气较酸性气体减弱更明显。傅里叶红外光谱技术结合酰胺Ⅲ带（1 330～1 200 cm-1）去卷积和高斯拟合法研究表明,50 d氨老化后仅引起丝蛋白质非结晶区的轻微变化,α-螺旋、无规卷曲、β-折叠含量变化幅度较小,丝蛋白二级结构变化较小。相比而言,酸性气体对丝蛋白二级结构影响更加显著,出现β-折叠相对含量大幅降低、无规卷曲相对含量明显增加,其结晶区遭受严重破坏。在4种气体中,二氧化氮对丝织品二级结构影响最显著,老化30 h后β-折叠相对含量由原始值30.36%降低至18.12%,约降低40%。相应的二氧化氮对丝织品强度破坏最严重,在β-折叠含量降低的同时,材料的力学强度出现了显著降低。利用波数在1 700和1 640 cm-1红外光谱吸收峰的比值（A_{1 700/1 640}）和波数在1 620和1 514 cm-1红外光谱吸收峰的比值（A_{1 620/1 514}）判断样品的老化方式,实验结果表明二氧化氮、二氧化硫、氨气老化样品的方式主要为氧化老化,而乙酸老化的样品则发生氧化老化和水解老化两种老化方式。随着老化时间的延长,4种气体中二氧化氮老化样品的A_{1 620/1 514}比值增加最多、氧化最严重。推断与二氧化氮的强氧化性有关,也与二氧化氮使丝织品产生显著的甲基对称变角振动有关。建议博物馆应严格监测和控制二氧化氮气体浓度。该研究为制定合理的丝织品文物存放环境提供科学依据,对丝织品文物的保护具有重要意义。     

Probabilistic models for stochastic elliptic partial differential equations

Mathematical requirements that the random coefficients of stochastic elliptical partial differential equations must satisfy such that they have unique solutions have been studied extensively. Yet, additional constraints that these coefficients must satisfy to provide realistic representations for physical quantities, referred to as physical requirements, have not been examined systematically.     

Structural study of NiXMg1–XFe2O4 ferrites

The ferrite system Ni _x Mg_1-x Fe₂O₄ with 0≤x≤1 was prepared using the usual ceramic technique. The prepared samples were studied by X-ray diffraction and IR spectroscopy. X-ray diffraction analysis proved that all the samples were single-phase with the cubic spinel structure. The lattice constant, radius of the tetrahedral ion, unshared octahedral edge, tetrahedral bond and tetrahedral edge decrease while the bulk and theoretical densities, radius of octahedral ion, octahedral bond and shared octahedral edge increase as nickel ion substitution increases. The positions and intensities of the four bands of IR absorption spectra characterizing ferrites are composition dependent.     

A new graphical coding of DNA sequence and its similarity calculation

The DNA primary sequence is translated into “structure graph” based on classification of its four bases. Then the invariants, such as topological indices, are extracted from those graphic representations of DNA primary sequences, and used to calculate the similarities among the eleven species. From these similarities/dissimilarities the homologies can be revealed that they are in agreement with evolutionary relation satisfactorily.     

Study on High-Temperature Spectra of Asymptotic Asymmetric-Top Molecule O3

The line intensities of 001-000 transition of the asymptotic asymmetric-top O₃ molecule at several temperatures are calculated by directly calculating the partition functions and regarding the rotationless transition dipole moment squared as a constant. The calculated values of the total internal partition sums (TIPS) are consistent with the data of HITRAN database with -0.61% at 296 K. The calculated line intensity data at 500 K and 3000 K are also in excellent agreement with the data in HITRAN database with less than 0.659% and 5.458% at 500 K and 3000 K, which provide a strong support for the calculations of partition function and line intensity at high temperature. Then we extend the calculation to higher temperatures. The line intensities and simulated spectra of ν₃ band of the asymptotic asymmetric-top O₃ molecule at 4000 and 5000 K are reported. The results are of significance for the studying of the molecular high-temperature spectrum including experimental measurements and theoretical calculations.     

A Volume Inequality for Quantum Fisher Information and the Uncertainty Principle

Let A ₁,…,A _N be complex self-adjoint matrices and let ρ be a density matrix. The Robertson uncertainty principle

Weighted Composition Operators from the Bloch Spaces to Weighted Hardy Spaces on Bounded Symmetric Domains*

Let B_E be a bounded symmetric domain realized as the unit open ball of JB*-triples.The authors will characterize the bounded weighted composition operator from the Bloch space B(BE) to weighted Hardy space H_v^∞ in terms of Kobayashi distance.The authors also give a sufficient condition for the compactness,and also give the upper bound of its essential norm.As a corollary,they show that the boundedness and compactness are equivalent for composition operator fromB(B...