基2-FFT输入分级截断算法在频域合成孔径超声成像中的研究

为提高超声频域成像算法的计算速度,提出一种应用于超声频域成像算法的基2-FFT输入分级截断算法。首先,借助于COMSOL多物理场仿真软件,建立钢件中含有孔缝缺陷的有限元模型进行声场仿真。仿真结果得到关于缺陷的回波信号,并通过PSM算法对频域内声场进行重建,得到成像区域的聚焦图像,和原始仿真信号的B扫图像相比效果更加直观且成像质量更好,验证了PSM算法的可行性。然后为了避免超声频域成像算法中二维傅里叶变换的冗余计算,进一步提出了支持任意非0值输入的基2-FFT输入分级截断算法。实验结果证明,基2-FFT输入分级截断算法比标准基2-FFT算法快27%,超声频域算法成像速度提高13%。

On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras

A 2-dimension linguistic lattice implication algebra(2DL-LIA)can build a bridge between logical algebra and 2-dimension fuzzy linguistic information.In this paper,the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are discussed.Then derivations on 2DL-LIAs are introduced and the related properties of derivations are investigated.Moreover,it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements.

改进FFT算法在频域全聚焦超声成像中研究

针对钢块中孔洞缺陷的超声成像检测,目前普遍采用时域超声成像算法。该方法中的延时叠加过程需要进行重复、繁琐的迭代运算,无法满足高质量实时成像的需求,频域超声成像算法具有更高的成像分辨率和更快的成像速度。提出了一种针对任意非0值输入的基2-FFT输入分级截断算法,将该算法应用在频域FMC-PSM算法成像中,得到改进的FMC-PSM算法,用于钢块中孔洞缺陷检测超声成像。实验结果证明,相较于标准FMC-PSM算法,改进的频域FMC-PSM算法能够在呈现更高质量图像的同时将成像速度提高了15%,有望解决超声成像中成像质量和成像效率难以兼顾的问题。

一种高速2-D滑动FFT的设计实现

文章介绍了采用2-D快速傅里叶变换(fast Fourier transform,FFT)算法的滑动窗FFT的基本特性原理和硬件实现过程,完成了窗长256点、步长16点的2-D滑动窗FFT的专用集成电路(application specific integrated circuit,ASIC)设计。传统FFT算法受序列完整性的制约,时滞较大,无法满足某些高实时性信号分析领域的处理速度要求。该文采用滑动FFT算法,克服了传统FFT对序列完整性的依赖,设计的滑动FFT处理器使用2-D FFT压缩新序列计算时间,以基16蝶形运算器为核心,采用系数复用和高基Booth方法优化系数编码技术压缩乘法器的数量,减少电路面积。所设计的2-D滑动FFT完成单次滑动窗长的计算时间比传统算法节约了16.1%,变换结果与MATLAB的运算结果相比,信噪比(signal-to-noise ratio,SNR)大于130 dB。在TSMC 28 nm的工艺下,工作主频为600 MHz,面积为1980μm×2060μm。

Multi-attribute group decision making method under 2-dimension uncertain linguistic variables

A method is proposed to deal with the uncertain multiple attribute group decision making problems,where 2-dimension uncertain linguistic variables(2DULVs)are used as the reliable way for the experts to express their fuzzy subjective evaluation information.Firstly,in order to measure the 2DULVs more accurately,a new method is proposed to compare two 2DULVs,called a score function,while a new function is defined to measure the distance between two 2DULVs.Secondly,two optimization models are established to determine the weight of experts and attributes based on the new distance formula and a weighted average operator is used to determine the comprehensive evaluation value of each alternative.Then,a score function is used to determine the ranking of the alternatives.Finally,the effectiveness of the proposed method is proved by an illustrated example.

Multisoliton Solutions of the (2+1)-Dimensional KdV Equation

Using the extension homogeneous balance method,we have obtained some new special types of soliton solutions of the (2+1)-dimensional KdV equation.Starting from the homogeneous balance method,one can obtain a nonlinear transformation to simple (2+1)-dimensional KdV equation into a linear partial differential equation and two bilinear partial differential equations.Usually,one can obtain only a kind of soliton-like solutions.In this letter,we find further some special types of the multisoliton solutions from the linear and bilinear partial differential equations.

多路并行流水线型基2^(2)FFT算法实现

FFT算法作为OFDM系统的核心算子占用其系统处理的大多数时间,为提高OFDM系统数据传输速度,提出了一种改进的多路并行流水线型基2^(2)FFT实现架构。在实现过程中着重对旋转因子的存储进行片上缓存优化,减少了乘法运算次数从而减小整体运算复杂度;设计的数据整合模块用于控制时序,从而保证P路并行流水型架构正确实现,数据运算吞吐率成P倍提高。RTL仿真结果表明,与同类架构相比,提出的架构在硬件开销适中的同时使得性能分别提升了1.27%、2.04%、50.88%,并且具有FFT点数可扩展的特点,可满足随着通信标准的不断提高,FFT点数逐渐增大的实际应用需求。

Automatic modulation recognition of radio fuzes using a DR2D-based adaptive denoising method and textural feature extraction

The identification of intercepted radio fuze modulation types is a prerequisite for decision-making in interference systems.However,the electromagnetic environment of modern battlefields is complex,and the signal-to-noise ratio(SNR)of such environments is usually low,which makes it difficult to implement accurate recognition of radio fuzes.To solve the above problem,a radio fuze automatic modulation recognition(AMR)method for low-SNR environments is proposed.First,an adaptive denoising algorithm based on data rearrangement and the two-dimensional(2D)fast Fourier transform(FFT)(DR2D)is used to reduce the noise of the intercepted radio fuze intermediate frequency(IF)signal.Then,the textural features of the denoised IF signal rearranged data matrix are extracted from the statistical indicator vectors of gray-level cooccurrence matrices(GLCMs),and support vector machines(SVMs)are used for classification.The DR2D-based adaptive denoising algorithm achieves an average correlation coefficient of more than 0.76 for ten fuze types under SNRs of-10 d B and above,which is higher than that of other typical algorithms.The trained SVM classification model achieves an average recognition accuracy of more than 96%on seven modulation types and recognition accuracies of more than 94%on each modulation type under SNRs of-12 d B and above,which represents a good AMR performance of radio fuzes under low SNRs.

2-Dimension Interleaver Design for IDMA Systems

A new design method interleavers, 2-dimension interleavers, are proposed for interleave division multiple access （IDMA） systems. With a same interleaving rule named I＇, the row indices and column indices of a traditional block interleaving matrix are scrambled to obtain an interleaver, which is marked as the master interleaver. F is produced by a loworder PN sequence generator. Two ways are provided for generating different interleavers. One is that all interleavers are generated by the circular shifting master interleaver. The other is that different inter leavers are generated by different Ts. Besides, we prove that the minimum distance between two adjacent bits resulted from 2-dimension interleaves is much larger than that of other schemes, such as random interleavers, power interleavers, and shiffting interleaves. The simulation results show that 2-dimension interleavers can achieve much better performance with much less resource consumption than random interleavers in IDMA systems.

LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

By using the extended homogeneous balance method, the localized coherent structures are studied. A nonlinear transformation was first established, and then the linearization form was obtained based on the extended homogeneous balance method for the higher order (2 + 1)-dimensional Broer-Kaup equations. Starting from this linearization form equation, a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed. The quite rich localized coherent structures were revealed. This method, which can be generalized to other (2 + I) -dimensional nonlinear evolution equation, is simple and powerful.

Bifurcation of travelling wave solutions for (2+1)-dimension nonlinear dispersive long wave equation

In this paper,the bifurcation of solitary,kink,anti-kink,and periodic waves for （2＋1）-dimension nonlinear dispersive long wave equation is studied by using the bifurcation theory of planar dynamical systems.Bifurcation parameter sets are shown,and under various parameter conditions,all exact explicit formulas of solitary travelling wave solutions and kink travelling wave solutions and periodic travelling wave solutions are listed.

New Exact Solutions for the Generalized （2 ＋ 1）-dimensional Nonlinear Schroedinger Equation with Variable Coefficients

With the help of the variable-coefficient generalized projected Ricatti equation expansion method,we present exact solutions for the generalized(2+1)-dimensional nonlinear Schrdinger equation with variable coefficients.These solutions include solitary wave solutions,soliton-like solutions and trigonometric function solutions.Among these solutions,some are found for the first time.

基于基2-FFT的伪码快速捕获实现新算法

讨论了基于基2-FFT的伪码快速捕获方法,论述了其中常见的数据内插处理算法并提出Sinc数据内插新方法。Sinc数据内插算法采用Sinc内插滤波器来实现数据的精确内插,以满足基2-FFT的数据点数需要。仿真表明,采用Sinc数据内插方法实现的基2-FFT伪码快速捕获系统,其捕获性能优于传统的补零法和线性内插法。Sinc内插算法更适合在低信噪比下工作和对捕获时间有严格要求的系统。

基于分段FFT的GPS L1/L2C信号快速捕获算法

软件接收机要实现对L1/L2C双频GPS信号的跟踪,必须捕获到L1信号中的C/A码和L2C信号中的CM或CL码。但由于L2C信号的长度较长,采用直接捕获的方法计算量大、占用存储空间大,无法在软件接收机上实现。针对以上问题,提出一种适合于软件接收机实现的基于分段FFT的GPS L1辅助L2C信号快速精确捕获算法。本算法通过捕获到的L1信号辅助L2C信号实现载波多普勒频移搜索,同时利用分段FFT技术进行L2C码相位并行搜索,最终对实现L2C信号的捕获。计算和仿真实验结果表明,该捕获算法的计算量减少了约200倍,并且大大节省了存储空间,实现了软件接收机中L1/L2C双频信号的快速精确捕获。

无存储访问冲突的基2×K并行FFT架构

提出了一种无存储访问冲突的基2×K并行FFT架构.该架构通过并行地址产生算法,使K个基2蝶形运算单元同时读取或写入所需的2 K个操作数,达到平均每周期完成K个基2蝶式运算的处理能力.与已有的并行FFT架构相比,新架构地址产生电路简单,并且对于不同的K值,并行地址产生模块结构相同.在资源消耗方面,不考虑旋转因子,N点FFT处理器只需要3 N/2个存储单元.

基于短时相关和FFT的GPS L2C信号捕获算法

设计并实现了一种基于短时相关结合FFT的GPS L2 Civil(L2C)信号捕获算法。针对该算法,分析了本地码采用Return-to-Zero Civil-Moderate(RZ CM)码和Non Return-to-Zero Civil-Moderate(NRZ CM)码时的捕获性能,并采用码相位比较策略进一步提升发现概率。仿真结果表明,在选用RZ CM码并采用码相位比较策略时,该算法对载噪比为29 d BHz的信号发现概率在90%以上,对载噪比为28 d BHz的信号发现概率也能达到60%。

基-2 FFT处理器的FPGA实现

针对当前数字信号处理领域对快速傅里叶变换应用的广泛需求,在对算法原理分析的基础上,给出了8点基-2按时间抽选FFT处理器的实现方案;并综合Xilinx xc3s1500系列芯片,通过Modelsim SE6.0对程序进行仿真。实验结果表明,该处理器功能实现正确,并且具有较高的运算速度和精度。

基于基2-FFT的GPS信号捕获算法研究

讨论了各种GPS信号捕获算法,针对采用圆周相关法进行GPS信号捕获中FFT点数为非2的整数次幂的问题,分析了传统补零法和内插法的缺陷,并提出了一种新的基2-FFT捕获算法,该算法通过将采样数据和本地参考码均补零到大于自身长度两倍后做基2-FFT进行圆周相关,理论分析和仿真表明,该算法可以得到与非2的整数次幂点数的圆周相关一样的结果。

SF_(6)气体中H_(2)S光声检测及FFT滤波在检测信号噪声抑制中的应用

H_(2)S作为SF_(6)气体绝缘电气设备中一种重要的故障特征气体,其浓度对于评估SF_(6)气体绝缘状态有着重要意义。由于H_(2)S在近红外波段的吸收系数非常小,导致传统光学检测方法在该波段对H_(2)S气体的探测灵敏度较低。气体光声光谱技术灵敏度高、响应速度快且无需载气,非常适用于痕量气体的检测。搭建了一套大功率气体光声检测平台,选择H_(2)S气体在1578.12 nm处的吸收谱线,结合波长调制技术和二次谐波检测技术针对H_(2)S气体进行检测,并采用快速傅里叶变换(fast Fourier transform,FFT)算法对光声二次谐波信号进行频谱分析,去除残余噪声。结果表明FFT滤波技术可以有效去除光声二次谐波信号中的残余噪声,使搭建的光声检测平台对H_(2)S气体体积分数的最低检测限从10^(-6)量级降低到亚10^(-9)量级。

基-2FFT处理器的FPGA实现

针对当前数字信号处理领域对快速傅里叶变换应用的广泛需求，在对算法原理分析的基础上，给出了8点基-2按时间抽选FFT处理器的实现方案；并在Xilinx xc3s 1500系列芯片上进行综合，通过Modelsim SE6．0对程序进行了仿真。实验结果表明，该处理器功能实现正确，并且具有较高的运算速度和精度。