直接正交信号校正算法在烷烃类多组分气体定量分析中的应用

针对烷烃类多组分混合气体中红外光谱存在的基线漂移问题,提出一种直接正交信号校正算法用于光谱数据预处理。实验中采用傅里叶变换红外光谱仪采集了936组混合气体样本的光谱数据,混合气体主要由不同浓度范围的七种组分气体组成。将直接正交信号校正算法与导数算法进行了对比分析,采用偏最小二乘回归方法建立了各组分气体定量分析模型,并对模型参数(主元个数、导数步长及正交分量的个数)进行了遍历优化选取最优分析模型。结果表明直接正交信号校正算法对于中红外光谱基线校正效果最好,直接正交信号校正算法用于烷烃类混合气体中红外光谱基线校正可行,效果良好,具有一定的实用和研究价值。     

基于傅里叶频谱分析的相位测量轮廓术系统Gamma非线性校正方法

数字投影和成像系统的Gamma非线性效应是导致相位测量轮廓术（PMP）测量误差的重要原因。目前大多采用多帧条纹图进行Gamma校正,使测量的实时性受到限制。提出了一种Gamma校正方法,利用正交光栅像的傅里叶频谱分布计算Gamma值,再根据此Gamma值对投影相移条纹进行Gamma逆变换,实现投影条纹输入值的提前校正,以获取具有良好正弦性的结构条纹,从而降低PMP相位测量误差。校正过程中只需一帧条纹图,而且考虑了测量系统的离焦效应。实验证实了该方法的有效性和正确性。     

印度洋中北部声速剖面结构的时空变化及其物理机理研究

海洋的声速结构对水下声传播有重要影响,在印度洋中北部复杂多变的海洋物理和水文环境中, 获取声速剖面的时空统计分布规律对水下目标探测和水下声通信有重要意义. 由于垂直梯度法在声速结构分析中的局限性及其在印度洋中北部海域的适用性问题, 采用多元统计分析中的最优分割法对声速跃层进行分析,并应用最近10年的地转海洋学实时观测阵 数据对印度洋中北部海域声速剖面的特征量进行了计算,获得了声速跃层的垂直结构特征和时空变化规律; 还利用经验正交函数(EOF)表示方法,分析了印度洋中北部声速剖面拟合精度随EOF阶次的分布特点. 根据印度洋的海洋物理特征,揭示了声速剖面特征量时空演变的内在物理机理.研究结果表明: 最优分割法是适合印度洋声速结构的跃层判断方法,并提出了相应的判断准则参数; 声速剖面拟合精度随EOF阶次变化的区域性分布特征较明显,其季节性变化较小; 印度洋中北部的深海声道轴只在5°S以南明显存在,在15°S---25°S 附近海域存在三个跃层;印度洋中北部声速剖面结构可分为单跃层、双跃层Ⅰ型、 双跃层Ⅱ型和三跃层四种类型以及春夏秋冬四个季节模态. 声速剖面的分析结果对于水声传播和声纳系统的使用具有一定参考意义.     

紫外激光标记空气开关的工艺研究

激光器的打标速度、频率、填充间隔、电流、离焦量等工艺参数直接影响空气开关的打标效果。实验根据5因素4水平正交表L16(45)改变激光工艺参数,利用分光测色计和二维码扫描器对激光标记分别进行色差和读码率的测量,通过正交分析法和极差法研究激光工艺参数对打标效果的影响。研究表明:色差与读码率的数据趋于正比关系,并且存在一个阈值色差;当激光参数的速度为1 000 mm/s、频率为20~30 kHz、填充间隔为0.04 mm、电流为28 A、离焦量为-1 mm时,在空气开关上打标出点密度合适、色差对比度高、易于读取的二维码。     

An Extension of Chebyshev＇s Maximum Principle to Several Variables

In this article, we generalize Chebyshev＇s maximum principle to several variables. Some analogous maximum formulae for the special integration functional are given. A sufficient condition of the existence of Chebyshev＇s maximum principle is also obtained.     

Explicit solutions to a class of nonlinear filtering problems

In this paper we obtain the solution of a class of nonlinear filtering problems in the form of a series expansion in terms of multiple Wiener integrals. The solution is explicit in the sense that the kernels of the integrals in the expansion are explicitly determine.     

q-Discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials

We present an asymmetric q-Painlevé equation. We will derive this using q-orthogonal polynomials with respect to generalized Freud weights: their recurrence coefficients will obey this q-Painlevé equation (up to a simple transformation). We will show a stable method of computing a special solution, which gives the recurrence coefficients. We establish a connection with α-q-P_V.     

On semiclassical linear functionals of class s=2: classification and integral representations

In this paper, we obtain all the semiclassical linear functionals of class two taking into account the irreducible expression of the corresponding Pearson equation. We focus our attention in their integral representations. Thus, some linear functionals very well known in the literature, associated with perturbations of classical linear functionals, as well as new linear functionals appear which have not been studied as far as we know.     

First-order non-homogeneous q-difference equation for Stieltjes function characterizing q-orthogonal polynomials

In this paper, we give a characterization of some classical q-orthogonal polynomials in terms of a difference property of the associated Stieltjes function, i.e. this function solves a first-order non-homogeneous q-difference equation. The solutions of the aforementioned q-difference equation (given in terms of hypergeometric series) for some canonical cases, namely, q-Charlier, q-Kravchuk, q-Meixner and q-Hahn, are worked out.