Four Easy Ways to a Faster FFT

The Fast Fourier Transform (FFT) was named one of the Top Ten algorithms of the 20th century , and continues to be a focus of current research. A problem with currently used FFT packages is that they require large, finely tuned, machine specific libraries, produced by highly skilled software developers. Therefore, these packages fail to perform well across a variety of architectures. Furthermore, many need to run repeated experiments in order to re-program their code to its optimal performance based on a given machine's underlying hardware. Finally, it is difficult to know which radix to use given a particular vector size and machine configuration. We propose the use of monolithic array analysis as a way to remove the constraints imposed on performance by a machine's underlying hardware, by pre-optimizing array access patterns. In doing this we arrive at a single optimized program. We have achieved up to a 99.6% increase in performance, and the ability to run vectors up to 8388608 elements larger, on our experimental platforms. Preliminary experiments indicate different radices perform better relative to a machine's underlying architecture.     

Stochastic Resonance in Linear Region of a Single-Mode Laser： Effects of Amplitude Modulation of Signal

A single-mode laser noise model driven by quadratic colored pump noise and amplitude modulation signal is proposed. The real and imaginary parts of the pump noise are assumed to be cross-correlation. The effect of cross-correlation of noise and amplitude modulation of signal on laser statistical properties is studied by using the linearized approximation. The analytic expression of signal-to-noise ratio (SNR) is calculated. It is found that the phenomena of stochastic resonance (SR) respectively exist in the curves of the SNR versus the noise cross-correlation coefficient λ and the SNR versus the pump parameter a, as well as the SNR versus the signal frequency ω in our model. It is shown that there are three different typies of SR in the model: the conventional form of SR, the SR in the broad sense, and the bona fide SR.     

可调谐射频磁探针研究

提出了一种利用可调谐变压器提高磁探针灵敏度的方法。可调谐射频变压器采用在原线圈并联可变电容及在副线圈串联可变电容的结构,用平面分立式法拉第屏蔽抑制变压器原、副线圈间寄生的容性耦合。测量结果表明：在采用中心抽头变压器及法拉第屏蔽的情况下,磁探针的容性耦合大幅度降低;当调节并联或串联电容时,磁探针输出电压均出现共振现象;调节并联电容得到的共振输出电压高于调节串联电容时的对应值;在典型条件下,共振输出电压幅值比无可变电容磁探针提高了约一个量级。建立了探针电路模型,计算结果与测量结果符合较好。     

Identification of Nonlinear Dynamic Systems: Time-Frequency Filtering and Skeleton Curves

ＩｎｔｒｏｄｕｃｔｉｏｎＩｄｅｎｔｉｆｉｃａｔｉｏｎｏｆｎｏｎｌｉｎｅａｒｓｙｓｔｅｍｓｈａｓｒｅｃｅｉｖｅｄｃｏｎｓｉｄｅｒａｂｌｅａｔｔｅｎｔｉｏｎｉｎｒｅｃｅｎｔｙｅａｒｓｂｅｃａｕｓｅｍｏｓｔｓｔｒｕｃｔｕｒｅｓｅｘｈｉｂｉｔｓｏｍｅｄｅｇｒｅｅｏｆｎｏｎｌｉｎｅａｒｉｔｙ .Ｂｏｔｈｐａｒａｍｅｔｒｉｃａｎｄｎｏｎ＿ｐａｒａｍｅｔｒｉｃｔｅｃｈｎｉｑｕｅｓｈａｖｅｂｅｅｎｓｔｕｄｉｅｄｉｎｔｅｎｓｉｖｅｌｙ ,ｓｕｃｈａｓｔｈｅｌｉｎｅａｒｉｚａｔｉｏｎ ,ｈｉｇｈｅｒｏｒｄｅｒｓｐｅｃｔｒ…     

陀螺仪漂移特性的小波分析

在简述小波分析中Mallat算法的基础上,用其实现陀螺仪漂移特性的小波分析,并对有关的工程问题进行了讨论,给出了某型陀螺实测数据的应用实例,证明了此方法的有效性。对今后的应用提出了一些看法。     

基于基本对称函数产生器的模拟开关实现

开关－信号理论与传统的电路设计理论不同,它不是以门电路或其它集成块为基本单元,而是以开关元件为构造单元,本文应用形状－信号理论指导二变量基本对函数产处理品在及双向对称模拟开关的设计,并提出了基于双向对称模拟开关的对称函数的电路实现。     

Chirp heterodyne laser Doppler velocimeter using a powerful fibre-coupled green laser

The chirp heterodyne technique allows a directional discrimination of laser Doppler velocity measurements without the use of additional frequency shift elements. This paper presents, for the first time, the use of a chirp frequency-modulated solid-state laser, emitting in the green spectral range. Experimental results of a fluid flow measurement verify the function of the realised chirp heterodyne laser Doppler velocimeter.     

Dynamical Properties of a Single-Mode Laser with Both Colored Noise and Injected Signal

The colored noise in a single-mode laser with injected signal is investigated by the method of two-dimensional unified colored noise approximation. The normalized correlation function λ₂(0), the intensity correlation time T_c and effective eigenvalue λ_eff are calculated. The effects of the injected signal I₀, colored noise strength P^ˊ and the noise correlation time τ on the dynamical properties of the single-mode laser are discussed.     

岩石破裂滑动过程及其声发射数值模拟

运用岩石破裂与失稳过程分析RFPA2D系统, 对滑动形成过程进行了数值模拟研究。滑动岩体似为非均匀弹 -脆岩石材料, 模拟结果再现了滑动形成从变形到破坏直至失稳的全过程及其声发射规律。     

Low-dimensional model for vortex merging in the two-dimensional temporal mixing layer

The two-dimensional temporal mixing layer shows spiraling and merging vortices and is an example of a flow problem in which, despite the complexity, the vortices as individual coherent structures can be clearly visualized. In this paper we present a method for the analysis of the data that describes the spiraling and merging of vortices. To that end we define a parameterized set of structures, the ‘phenomenological model manifold’, which approximates the apparent spatial structures. Then we let the parameters of the manifold vary in such a way that the succession of states resembles the evolving flow as well as possible. Two different model manifolds were designed, one model for which the vortices are described with Gaussian profiles, and another in which a more optimal spatial structure is used. Projection of the numerical data on these manifolds results in information about the strength, ellipticity and trajectories of the vortices. The method is also used to study the successive merging of vortices; differing from scaling arguments for an inviscid flow, the results show that the first pairwise merging evolves approximately 2.11 times faster than the second merging. Efficient procedures are described for the required extensive optimisation problems.