口琴簧片振动频率的理论与实验研究

口琴是常见的乐器之一。通过推导了口琴簧片振动频率的计算公式,进而揭示了簧片几何尺寸对振动频率的影响,并对录制好的口琴音频文件进行快速傅里叶变换（FFT）,从而推断口琴簧片振动的频率。     

STATIC REGIME IMAGING OF LOCATIONS OF CERTAIN 3D ELECTROMAGNETIC IMPERFECTIONS FROM A BOUNDARY PERTURBATION FORMULA

We are concerned, in a static regime, with a three-dimensional bounded domain of certain an imaging approach of the locations in electromagnetic imperfections. This approach is related to Electrical Impedance Tomography and makes use of a new perturbation formula in the electric fields. We present two localization procedures, from a Current Pro- jection method that deals with the single imperfection context and an inverse Fourier process that is devoted to multiple imperfections configurations. These procedures extend those that were described in our previous work, since operating for a broader class of settings. Namely, the localization is additionally performed for certain purely electric imperfections, as established from numerical simulations.     

自适应线性神经元方法同轴相对论返波管高频特性的数值分析

 提出一种数值分析周期慢波结构色散特性的模拟法：先采用时域有限差分法和离散傅里叶变换技术计算含周期慢波结构的谐振腔的谐振频率及谐振场分布，再基于周期慢波电路色散关系的周期性质，利用几个特殊色散点由数值组合技术获得周期慢波线的完整色散关系。数值计算了同轴波纹波导中TMon模式的色散关系。亦能用于分析计算任意复杂几何结构的周期慢波线的色散关系。     

一种基于特征提取技术的语音识别算法

语音识别是通过对说话人语音信号的分析和提取．自动确定说话人是否在所登记的说话人集合中，以及说话的人是谁的过程．本文提出了一种基于特征提取技术的模板匹配语音识别算法．该算法中，采用与文本有关（主要用于时域分析）和与文本无关（主要用于频域分析）相结合的三种识别方法：快速傅立叶变换（FFT）、平均过零率分析（RBZ）和高斯混合模型（GMM），最后通过三种方法的加权平均来生成判决门限值．通过比较门限值误差的大小，根据“最大似然准则”给出待识别语音的身份．     

产生可控宏观形状和位置分形山的谱综合方法

假设二元随机函数Ｘ（ｘ，ｙ）表示具有指数为０〈Ｈ〈１的ｆＢｍ。那么由ｆＢｍ算法可生成一幅逼真的分形山图画。但是由于分形山本质上是由随机方法生成的，它的宏观形状和总体位置无法控制。本文给出一个谱综合方法，将有限网格上给出的二维曲面Ｙ（ｘ，ｙ）的离散谱Ｆ↑￣（ｕ，ｖ）的低频分量与Ｘ（ｘ，ｙ）的离散谱Ｆ（ｕ，ｖ）的高频分量综合产生一个分形曲面Ｚ（ｘ，ｙ）。其宏观形状及位置分布由Ｙ（ｘ，ｙ）的低频控制。而     

DYNAMIC LOAD ANALYSIS OF UNDERGROUND STRUCTURE UNDER EFFECT OF BLAST WAVE

A semi-analytical method of solving the problem of dynamic stress concentration of arbitrary underground structure under the effect of blast waves was introduced. Using the Fourier transform theory, the shock waves (in the forms of SH-waves) can be converted into frequency bands. After employing complex functions and conformal mapping, the admittance functions of various underground structures were obtained. Then, the problem of the time domain dynamic stress response of underground structure can be easily solved through the Fourier inverse transform. At last, the results and curves of the dynamic stress for the square, triangle and horseshoe cavity were presented.     

Optimal H2‐error estimates of conservative compact difference scheme for the Zakharov equation in two‐space dimension

In this paper, a conservative compact difference scheme is proposed for the two‐dimensional nonlinear Zakharov equation with periodic boundary condition and initial condition. The proposed scheme not only conserve the mass and energy in the discrete level but also are efficient in practical experiments because the Fast Fourier transform (FFT) can be used to speed up the numerical computation. By using the standard energy method and induction argument, we can establish rigorously the unconditional and optimal H²‐error estimates. Some numerical examples are provided to support our theoretical results and show the accuracy and efficiency of the new scheme.     

Massively parallel implementation of 3D‐RISM calculation with volumetric 3D‐FFT

A new three‐dimensional reference interaction site model (3D‐RISM) program for massively parallel machines combined with the volumetric 3D fast Fourier transform (3D‐FFT) was developed, and tested on the RIKEN K supercomputer. The ordinary parallel 3D‐RISM program has a limitation on the number of parallelizations because of the limitations of the slab‐type 3D‐FFT. The volumetric 3D‐FFT relieves this limitation drastically. We tested the 3D‐RISM calculation on the large and fine calculation cell (2048³ grid points) on 16,384 nodes, each having eight CPU cores. The new 3D‐RISM program achieved excellent scalability to the parallelization, running on the RIKEN K supercomputer. As a benchmark application, we employed the program, combined with molecular dynamics simulation, to analyze the oligomerization process of chymotrypsin Inhibitor 2 mutant. The results demonstrate that the massive parallel 3D‐RISM program is effective to analyze the hydration properties of the large biomolecular systems. © 2014 Wiley Periodicals, Inc.     

关于(R,r)-循环分块矩阵求逆与相乘的一种快速算法

利用矩阵分块逐次降阶的方法和快速富里叶变换(FFT),给出了mn阶(R,r)-循环分块矩阵求逆与相乘的一种快速算法,证明了其计算复杂性为O(mnlog2mn).     

On BER assessment of conventional- and wavelet-OFDM over AWGN channel

Orthogonal wavelets enclose more potential of dropping the ISI- and ICI-sway amid the carriers due to multipath propagation over the free-space fading channels. Moreover, wavelet-OFDM is more bandwidth efficient as compared to conventional OFDM and is less affected by Doppler shift. Accordingly, a BER estimation of discrete Fourier transform (DFT) based OFDM system and discrete wavelet transform (DWT) based OFDM system is carried out in this work. The assessment is demonstrated by means of diverse modulation schemes explicitly BPSK, QPSK, 8-PSK, QAM, 8-QAM, 16-QAM for both conventional- and wavelet-OFDM wireless system over AWGN channels. Higher orders of PSK schemes involve more SNR requirement to target an acceptable BER of 10⁻⁵ over AWGN channels in both the cases. Furthermore, the efficiency of W-OFDM increases with decreasing the required value of BER.