一种基于傅里叶变换的快速频率测量算法

频率测量是电能质量测量的重要基础,传统频率测量算法是使用傅里叶变换,很难保证系统的测量精度和实时性要求,需要对傅里叶算法进行改进。文中介绍了一种基于傅里叶变换的频率偏差的精确测量算法,并提出了一种新型的频率偏差符号判断算法。该算法大大简化了判断逻辑,减少了计算时间,提高了算法的实时性,经过MATLAB仿真,精度也较好。     

Discrete Gabor transform

A feasible algorithm for implementing the Gabor expansion, the coefficients of which are computed by the discrete Gabor transform (DGT), is presented. For a given synthesis window and sampling pattern, computing the auxiliary biorthogonal function of the DGT is nothing more than solving a linear system. The DGT presented applies for both finite as well as infinite sequences. By exploiting the nonuniqueness of the auxiliary biorthogonal function at oversampling an orthogonal like DGT is obtained. As the discrete Fourier transform (DFT) is a discrete realization of the continuous-time Fourier transform, similarly, the DGT introduced provides a feasible vehicle to implement the useful Gabor expansion     

基于尺度可变的傅氏变换实现比例不变的相关识别

在透镜的傅氏变换中 ,改变物与后焦面的距离可灵活调整物的频谱的空间尺寸 ,结合匹配滤波实现比例不变的相关识别 ;采用数字全息记录物波 ,免去干版的化学处理 ,可实现自动化相关识别 ,并使相关峰更尖锐     

Pulsed millimeter wave fourier transform microwave spectrometer

An improved pulsed microwave spectrometer for the detection of rotational transitions in gaseous molecules in the frequency range of 130–150 GHz is described. It incorporates a tunable Fabry-Perot cavity and a low noise superneterodyne receiver for the detection of the molecular emission signals. The molecules are excited by π/2 pulses provided by a high efficiency frequency doubler which is pulse modulated at an IF frequency of 1.4 GHz.     

Discrete fractional Fourier transform based on orthogonalprojections

The continuous fractional Fourier transform (FRFT) performs a spectrum rotation of signal in the time-frequency plane, and it becomes an important tool for time-varying signal analysis. A discrete fractional Fourier transform has been developed by Santhanam and McClellan (see ibid., vol.42, p.994-98, 1996) but its results do not match those of the corresponding continuous fractional Fourier transforms. We propose a new discrete fractional Fourier transform (DFRFT). The new DFRFT has DFT Hermite eigenvectors and retains the eigenvalue-eigenfunction relation as a continous FRFT. To obtain DFT Hermite eigenvectors, two orthogonal projection methods are introduced. Thus, the new DFRFT will provide similar transform and rotational properties as those of continuous fractional Fourier transforms. Moreover, the relationship between FRFT and the proposed DFRFT has been established in the same way as the conventional DFT-to-continuous-Fourier transform     

Discrete wavelet transform based on cyclic convolutions

A filterbank in which cyclic convolutions are used in place of linear convolutions will be referred to as a cyclic convolution filterbank (CCFB). A dyadic tree-structured CCFB can be used to perform a discrete wavelet transform suitable for coding based on symmetric extension methods. This paper derives two types of efficient implementation techniques for the tree-structured CCFB: one using complex arithmetic and one using only real arithmetic. In addition, the present paper analyzes in detail the perfect reconstruction (PR) condition for the two-channel CCFB and shows that this condition is much less restrictive than that of usual two-channel filterbanks. When each of the two-channel CCFBs constituting a tree-structured CCFB is designed to be PR, the whole system is PR. A quadrature mirror filter (QMF) CCFB having the PR property is demonstrated to be easily designed using a standard filter design subroutine. In contrast, designing a linear-phase PR FIR QMF bank that has good frequency response is not possible when filters are realized by linear convolutions.     

基于log-Gabor与FT数据融合的掌纹识别算法

本文提出一种基于数据融合的掌纹识别算法。该算法首先利用log-Gabor小波提取掌纹纹理特征,同时用傅立叶变换(Fourier Transform,FT)提取掌纹频域统计特征,然后分别与库中模板进行匹配,最后对两种匹配结果进行数据融合,得到最终识别结果。该算法中的基于手掌中基准点的手掌定位方法,使得定位中的方向校正更为准确。实验结果达到较高的识别率,验证了该算法的有效性。     

Computation of the discrete cosine transform using the iterative arithmetic fourier transform

A method of computing the discrete cosine transform using the iterative arithmetic Fourier transform is presented. It overcomes the difficulty of dense, Farey-fraction sampling in the time domain or space domain when using the original arithmetic Fourier transform (AFT) algorithm. Also, dense transform-domain samples are obtained without any interpolation or zero-padding. These dense samples can be advantageously used for accurate parameter estimation or determination of a few principal components. The inverse discrete cosine transform can be efficiently computed from these dense, Farey-fraction transform-domain samples using the original AFT. The resulting structure is suitable for VLSI implementation.     

An electric-field cross-correlation fourier transform millimeter wave spectrometer

The principle and fundamental structure of a millimeterwave electric-field cross-correlation Fourier transform spectrometer are presented. In the spctrometer, two pseudorandom binary sequences (PRBS) with controllable phase variation are used to modulate individually two wide bandwidth microwave signals with variable phase delay are obtained. And the Fourier transform of the crosscorrelation function of these microwave signals is the cross-power spectrum. Some experimental results about the spectrometer are given in 8mm-wave range.     

An anomaly intrusion detection method using fourier transform

A set of discrete points obtained from audit records on a behavior session is processed with Fourier transform. The criterion of selecting Fourier transform coefficients is introduced, and is used to find a unified value from the set of coefficients. This unified value is compared with a threshold to determine whether the session is abnormal. Finally simple test results are reported.     

基于傅里叶变换的F-P光纤传感器阵列设计

通过傅里叶变换在频域中对光纤F-P传感器的透射光谱进行研究,简化了腔长解调的过程,使得腔长解调变得简单且易于控制。主要从理论上分析了光纤F-P传感器透射光谱的特性和影响因素,对光纤F-P传感器的并联复用和串联复用的傅里叶变换解调方法进行了研究和讨论,同时利用数值模拟仿真研究了光纤F-P传感阵列应变传感的规律。     

A device for fluorescence temperature measurement based on fast fourier transform

A sapphire fiber thermal probe with Cr^3＋ ion-doped end was grown using the laser heated pedestal method. The fluorescence thermal probe offers advantages of compact structure, high performance and the ability to sustain high temperature from the room temperature to 450℃. Based on the fast fourier transform （FFT）, the fluorescence lifetime is obtained from the tangent function of the phase angle of the first non-zeroth item of FFT result. Compared with other traditional fitting methods, our method has advantages such as fast speed, high accuracy and being free from the influence of the base signal. The standard deviation of FFT method is about half of that method. In addition, since the FFT method is immunity to analysis can be skipped. of the Prony method and close to the one of the Marquardt the background noise of the signal, the background noise     

Robust time-frequency distributions based on the robust short time fourier transform

Design of time-frequency distributions (Tfds) that are robust to the impulse noise influence is considered. The robustTfds based on the robust short-time Fourier transform (Stft) are proposed. An efficient procedure to evaluate the robustStft is given. RobustTfds based on the robustStft have better energy concentration around the signal instantaneous frequency (If) than the robustStft itself. Also, theseTfds are more resistant to higher impulse noise than the robustTfds obtained using the local autocorrelation function (Laf) based minimization problem.     

基于分数阶Fourier变换的机载SAR运动目标检测

该文首先建立了机载合成孔径雷达(SAR)对运动目标的回波信号模型,阐述了其本质为线性调频信号的特点。根据这种特点,提出了一种基于分数阶Fourier变换的机载SAR运动目标检测新方法,有效地消除了线性调频信号的时频耦合特性对信号检测的影响。与双线性时频分布类算法相比,分数阶Fourier变换是线性变换,在多运动目标存在的情况下,不会受到交叉项的影响。仿真结果验证了算法的有效性。     

A two-scanning mirror fourier transform interferometer for plasma diagnostics

A two-grid polarization rapid scan interferometer for the measurement of Electron Cyclotron Emission from the LT-4 Tokamak is described. The instrument incorporates two scanning mirrors, and a back e.m.f. derived mirror position monitor     

Hardware efficient fast computation of the discrete fourier transform

Typographical errors were printed in the print and online versions of the original article. The correct versions of Equation 25 (page 168), Figure 6(c) (page 169), and Table 2 (page 170) are printed below, respectively. The online version of the original article can be found at     

Discrete Fourier transform of correlation functions

The Van Vleck equation relating the polarity correlation function to the direct correlation function is used to derive a new algorithm for the evaluation of the discrete Fourier transform of the direct correlation function. Application of an implementation of the algorithm to correlation-based measurement is discussed.     

数字散斑联合变换相关法测量微小位移的研究

提出一种利用联合变换相关法对位移前后的散斑图像实现数字相关运算,通过相关峰的距离与散斑图所携带的位移信息之间的关系,测量物体的面内位移量。通过对全场的位移计算,得出对散斑图像先做限幅预处理后,再进行边缘提取,有效减弱了影响相关峰的不利因素,提高了相关点的精确性。对同一组散斑图进行匹配滤波相关运算和联合变换相关运算,把得到的全场位移矢量图进行比较,得出两者测量的结果是一致的。