s-parameterized Weyl transformation and the corresponding quantization scheme

By extending the usual Weyl transformation to the s-parameterized Weyl transformation with s being a real parameter,we obtain the s-parameterized quantization scheme which includes P–Q quantization, Q–P quantization, and Weyl ordering as its three special cases. Some operator identities can be derived directly by virtue of the s-parameterized quantization scheme.

RECONSTRUCTION OF THE ATTENUATED RADON TRANSFORM IN π-SCHEME SHORT-SCAN SPECT

In this work, the image reconstruction in π-scheme short-scan single-photon emission computed tomography （SPECT） with nonuniform attenuation is derived in its most general form when π-scheme short-scan SPECT entails data acquisition over disjoint angular intervals without conjugate views totaling to π radians. The reconstruction results are based on decomposition of Novikov＇s inversion operator into three parts bounded in the L2 sense. The first part involves the measured partial data; the second part is a skew-symmetric operator; the third part is a symmetric and compact contribution. It is showed firstly that the operators involved belong to L（L^2（B）. Furthermore numerical simulations are conducted to demonstrate the effectiveness of the developed method.

A NEW ADAPTIVE FILTERING SCHEME BASED ON WAVELET TRANSFORM

Based on the scale function representation for a function in L2(R), a new wavelet transform based adaptive system identification scheme is proposed. It can reduce the amount of computation by exploiting the decimation properties and keep the advantage of quasi-orthogonal transform of the discrete wavelet, transform (DWT). The issue has been supported by computer simulations.

COMPUTATION OF CONTINUOUS WAVELET TRANSFORM AT DYADIC SCALES BY SUBDIVISION SCHEME

A new algorithm to compute continuous wavelet transforms at dyadic scales is proposed here. Our approach has a similar implementation with the standard algorithme a trous and can coincide with it in the one dimensional lower order spline case.Our algorithm can have arbitrary order of approximation and is applicable to the multidimensional case.We present this algorithm in a general case with emphasis on splines anti quast in terpolations.Numerical examples are included to justify our theorerical discussion.

Difficulties in Parameters Identification of Traction Transformer Multi-port Equivalent Scheme with Hidden Construction Defect

While modeling a power supply system for an electric railway traction, knowing equivalent circuits of locomotives supplied this way is an essential issue. In alternating current traction, it is important to diagnose inter alia processes taking place in transformers installed on electric vehicles. This article presents specific phenomena occurring during the work of mono-phase, multi-winding, multisystem （systems AC： 50 Hz, 16.7 Hz） laboratory traction transformer. It also shows difficulties encountered during the process of identifying multi-port equivalent scheme＇s elements of the described device, in which a construction defect occurs.

Seismic data compression based on integer wavelet transform

Due to the particularity of the seismic data, they must be treated by lossless compression algorithm in some cases. In the paper, based on the integer wavelet transform, the lossless compression algorithm is studied. Comparing with the traditional algorithm, it can better improve the compression rate. CDF (2, n) biorthogonal wavelet family can lead to better compression ratio than other CDF family, SWE and CRF, which is owe to its capability in can- celing data redundancies and focusing data characteristics. CDF (2, n) family is suitable as the wavelet function of the lossless compression seismic data.

A Note on Crank-Nicolson Scheme for Burgers’ Equation

In this work we generate the numerical solutions of the Burgers’ equation by applying the Crank-Nicolson method directly to the Burgers’ equation, i.e., we do not use Hopf-Cole transformation to reduce Burgers’ equation into the linear heat equation. Absolute error of the present method is compared to the absolute error of the two existing methods for two test problems. The method is also analyzed for a third test problem, nu-merical solutions as well as exact solutions for different values of viscosity are calculated and we find that the numerical solutions are very close to exact solution.

WAVELET TRANSFORM IN FRACTAL IMAGE ENCODING

This paper presents some results of the relation between wavelet transform and fractal transform. The wavelet transform of the attractor of fractal transform posseses translational and scale invariance. So we speed the fractal image encoding by testing the invariance of the wavelet transform appropriate for image encoding. The classfication scheme of range blocks by wavelet transform is given in this paper.

Low complexity reconfigurable architecture for the 5/3 and 9/7 discrete wavelet transform

Efficient reconfigurable VLSI architecture for 1-D 5/3 and 9/7 wavelet transforms adopted in JPEG2000 proposal, based on lifting scheme is proposed. The embedded decimation technique based on fold and time multiplexing, as well as embedded boundary data extension technique, is adopted to optimize the design of the architecture. These reduce significantly the required numbers of the multipliers, adders and registers, as well as the amount of accessing external memory, and lead to decrease efficiently the hardware cost and power consumption of the design. The architecture is designed to generate an output per clock cycle, and the detailed component and the approximation of the input signal are available alternately. Experimental simulation and comparison results are presented, which demonstrate that the proposed architecture has lower hardware complexity, thus it is adapted for embedded applications. The presented architecture is simple, regular and scalable, and well suited for VLSI implementation.

AN EFFICIENT 3-DIMENSIONAL DISCRETE WAVELET TRANSFORM ARCHITECTURE FOR VIDEO PROCESSING APPLICATION

This paper presents an optimized 3-D Discrete Wavelet Transform (3-DDWT) architecture. 1-DDWT employed for the design of 3-DDWT architecture uses reduced lifting scheme approach. Further the architecture is optimized by applying block enabling technique, scaling, and rounding of the filter coefficients. The proposed architecture uses biorthogonal (9/7) wavelet filter. The architecture is modeled using Verilog HDL, simulated using ModelSim, synthesized using Xilinx ISE and finally implemented on Virtex-5 FPGA. The proposed 3-DDWT architecture has slice register utilization of 5%, operating frequency of 396 MHz and a power consumption of 0.45 W.

An Approach to Integer Wavelet Transform for Medical Image Compression in PACS

We study an approach to integer wavelet transform for lossless compression of medical image in medical picture archiving and communication system (PACS). By lifting scheme a reversible integer wavelet transform is generated, which has the similar features with the corresponding biorthogonal wavelet transform. Experimental results of the method based on integer wavelet transform are given to show better performance and great applicable potentiality in medical image compression.

Lifting Scheme and Its Application to Edge Detection

Lifting scheme is a useful and very general technique for constructing wavelet decomposition. The paper adapts the lifting into redundant lifting to obtain shift invariant wavelet transform. In prediction and update stages of the lifting morphological operator is adopted for preserving local maxima of a signal over several scales, which is particularly useful in wavelet\|based signal detec tion. The new transform presented in the paper is applied in multiresoluti on edge detection of medical image and experim ent results are given to show better performance and applicable potentiali ty.

High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids

In this paper, a high order compact difference scheme and a multigrid method are proposed for solving two-dimensional (2D) elliptic problems with variable coefficients and interior/boundary layers on nonuniform grids. Firstly, the original equation is transformed from the physical domain (with a nonuniform mesh) to the computational domain (with a uniform mesh) by using a coordinate transformation. Then, a fourth order compact difference scheme is proposed to solve the transformed elliptic equation on uniform girds. After that, a multigrid method is employed to solve the linear algebraic system arising from the difference equation. At last, the numerical experiments on some elliptic problems with interior/boundary layers are conducted to show high accuracy and high efficiency of the present method.

Mutual transformations between the P–Q, Q–P, and generalized Weyl ordering of operators

Based on the generalized Weyl quantization scheme, which relies on the generalized Wigner operator Ok （p, q） with a real k parameter and can unify the P-Q, Q-P, and Weyl ordering of operators in k = 1, - 1,0, respectively, we find the mutual transformations between 6 （p - P） （q - Q）, （q - Q） 3 （p - P）, and （p, q）, which are, respectively, the integration kernels of the P-Q, Q-P, and generalized Weyl quantization schemes. The mutual transformations provide us with a new approach to deriving the Wigner function of quantum states. The - and - ordered forms of （p, q） are also derived, which helps us to put the operators into their - and - ordering, respectively.

Compact finite difference schemes for the backward fractional Feynman–Kac equation with fractional substantial derivative

The fractional Feynman-Kac equations describe the distributions of functionals of non-Brownian motion, or anomalous diffusion, including two types called the forward and backward fractional Feynman-Kac equations, where the nonlocal time-space coupled fractional substantial derivative is involved. This paper focuses on the more widely used backward version. Based on the newly proposed approximation operators for fractional substantial derivative, we establish compact finite difference schemes for the backward fractional Feynman-Kac equation. The proposed difference schemes have the q-th(q = 1, 2, 3, 4) order accuracy in temporal direction and fourth order accuracy in spatial direction, respectively. The numerical stability and convergence in the maximum norm are proved for the first order time discretization scheme by the discrete energy method, where an inner product in complex space is introduced. Finally, extensive numerical experiments are carried out to verify the availability and superiority of the algorithms. Also, simulations of the backward fractional Feynman-Kac equation with Dirac delta function as the initial condition are performed to further confirm the effectiveness of the proposed methods.

既有地铁线非站站停列车开行方案与越行站设置协同优化研究

研究既有地铁非站站停列车开行方案和越行站设置协同优化对提高线路通过能力和运输效率具有重要意义。将非站站停列车开行方案编制与越行站设置协同考虑,出行乘客以出行OD分类,构建以企业运营成本、乘客出行成本以及列车越行成本最低为目标的既有地铁线非站站停列车开行方案优化模型,考虑线路通过能力及快车停靠等约束,依据模型特点选用遗传模拟退火算法进行模型求解。以西安地铁14号线为例验证构建模型有效性,求解结果表明:与传统的站站停运营组织模式相比,乘客总在车时间降低29.84%,企业运营成本降低4.33%,车底购置成本降低5.23%,同时讨论不同越行站位置选择对企业运营成本的影响,为轨道公司实施非站站停运营组织模式及相关车站改造提供决策支撑。

乡村振兴视域下峰福铁路旅游化改造实证分析

以峰福铁路为例,在乡村振兴背景下,对既有铁路进行旅游化改造的思路和方案进行系统阐述,充分发挥铁路优势和利用既有资源,开行旅游列车,推动沿线特色产业和乡村旅游发展再上新台阶。研究旨在分析如何充分利用既有设施,以促进落实乡村振兴为目标,结合沿线需求进行旅游化改造,推动铁路高质量发展。以实证分析为主,在调研和数据统计的基础上,分析沿线人口分布及经济发展情况,初步确定列车的停靠站点,结合主要节点人口规模、游客接待量及既有线运输能力综合分析客运需求,预测定制列车承担客流量,综合政策、规划、路网、需求等多方面因素,研究提出多种方案,对比不同方案的改建工程数量、投资规模、不同主体之间沟通协调难度,重点从线路改造、车辆选型方案及投资匡算等角度提出推荐方案建议。研究结果表明,改造方案维持既有峰福铁路技术标准,既有曲线半径保持不变,增设及改造部分客运设施,进行沿线景观打造,购置定制列车并设计游线以满足旅游化需求。从社会经济和工程角度分析,改造方案可行,发展前景明确,综合考虑铁路本体和沿线社会经济发展因素,可为路地共同推进既有铁路高质量发展提供参考。

WO_(3)/Zn_(0.5)Cd_(0.5)S S型异质结光催化产氢耦合有机物转化机理研究

开发新型纳米材料实现光催化产氢耦合有机物转化、提高太阳能到化学能的转换效率,在解决能源和环境危机方面具有巨大潜力。三元金属硫化物具有可调控的带隙和优异的可见光响应,在光催化分解水产氢方面引起了广泛关注。其中,Zn_(0.5)Cd_(0.5)S是一种带隙较窄、导带位置较高、耐光腐蚀的还原型光催化剂;然而,单一Zn_(0.5)Cd_(0.5)S中光生电子和空穴的复合率较高,只有少部分光生载流子参与光催化反应,导致量子效率较低而无法达到实际需求。WO_(3)是一种典型的氧化型光催化剂,具有较低的价带位置和较强的氧化能力,是与Zn_(0.5)Cd_(0.5)S耦合构建S型异质结的理想半导体。基于此,本文通过静电纺丝和水热方法将Zn_(0.5)Cd_(0.5)S纳米片垂直生长在WO_(3)纳米纤维上,制备了具有核壳结构的WO_(3)/Zn_(0.5)Cd_(0.5)S异质结。功函数的差异驱动Zn_(0.5)Cd_(0.5)S的电子转移到WO_(3)上,在界面处形成内建电场并使能带弯曲。通过原位光照X射线光电子能谱、电子顺磁共振和时间分辨荧光光谱分析,发现在内建电场、弯曲能带和库仑吸引力的作用下,WO_(3)导带上的光生电子迁移到Zn_(0.5)Cd_(0.5)S价带上并与其光生空穴复合,表明WO_(3)和Zn_(0.5)Cd_(0.5)S之间形成了S型异质结,实现了具有强氧化还原能力的载流子的高效分离。得益于独特的S型光催化机制以及反应物在催化剂表面的有效吸附与活化,没有贵金属助催化剂的情况下,WO_(3)/Zn_(0.5)Cd_(0.5)S异质结在产氢(715 μmol·g^(-1)·h^(-1))和乳酸转化为丙酮酸方面表现出增强的光催化活性,实现了光生电子和空穴的高效利用。原位漫反射傅里叶变换红外光谱和密度泛函理论计算揭示了光催化产氢和有机物转化的反应机理。本工作为设计和研究新型S型异质结光催化剂、实现高效产氢耦合有机物转化提供了新的见解。