啁啾脉冲频域干涉仪相位重建方法的理论研究

理论研究了啁啾脉冲频域干涉仪的时域相移重建技术,对于接近实际的频谱干涉条纹,分别采用傅里叶变换和小波变换的方法完成了时域相位扰动信号的重建。傅里叶变换方法产生的重建误差受到滤波参数的影响,相对而言,小波变换方式解谱过程中,不需要进行特意的滤波操作,从而避免了重建结果存在误差不确定性的问题。     

混频技术测量单次脉冲微波频率的实验研究

 介绍了用混频技术测量单次脉冲微波频率的方法,用50ns、5GHz的单次脉冲微波对混频系统进行了实验研究。目前, 已用此技术测量了虚阴极振荡高功率微波锁频产生的单次微波的频率,并对混频输出的中频信号进行快速傅里叶变换(FFT),得到单次脉冲微波的3dB带宽。     

脉冲相干激光雷达测距信号研究

对脉冲激光雷达外差测距信号进行了研究，理论上，采用调Q激光脉冲的数值计算波形，研究了脉冲激光经远处目标漫反向后进行外差接收的波形及其傅里叶变换频谱成分。实验上，研究了可调谐电光调Q射频激励波导CO2激光器脉冲激光经目标反射后的外差波形及其傅里叶变换频谱成分，并计算了目标的距离，理论分析与实验结果一致。     

等束腰宽度超短脉冲光束传输的脉冲修正方法

利用角谱分析和傅里叶变换的方法,得到一种描述几个周期的等束腰宽度脉冲光束传输的脉冲修正方法。以准单色光束传输的结果为出发点,通过对准单色光束的解进行泰勒级数展开,得到了一种相对简单的修正方法,可以精确的描述具有任意时间波形和横向光束分布的不短于一个周期的超短脉冲光束的传输行为。给出等束腰宽度超短脉冲的近似解,具体研究高斯脉冲光束的传输特性,分析几种不同的频谱对脉冲光束传输行为的影响。     

激光触发开关的电参数测量

 为进行PTS装置单路样机激光触发开关的调试,设计安装了相应的电压电流探头。通过对比分析了探头测量结果,解释了开关出口D-dot电压探头波形畸变的原因,并运算得到了正确的波形。B-dot探头得到了与模拟结果符合的电流微分信号和电流信号。实验结果表明： D-dot探头适合MV量级的高电压脉冲测量,但当该探头工作在开关区时,设计中需要对比探头与被测电极以及其它电极的结构电容,只有满足结构电容远大于与其它高压电极的电容时,才能获得较真实的信号。如果结构设计中难以满足该要求,可以采用软件处理方法得到正确的波形。使用B-dot探头输出的电流微分信号可以较为准确地得到开关导通延迟时间,测量误差小于0.7 ns。     

灵敏度系数可调同轴脉冲电压探头

针对采用TEM小室或GTEM室校准测试时从输入端获取信号的需求,设计了一种同轴型脉冲电压探头;该探头为微分型输出,采用数值积分可获得脉冲电压波形;其灵敏度系数可调。仿真分析了不同结构探针对探头内部电场峰值分布及对端口特性阻抗的影响,对采用尖针形探针的同轴脉冲探头进行了实验验证,得到了其频域响应曲线和灵敏度系数,分析了灵敏度系数随探针到内导体中心距离变化的规律。仿真和实验结果表明,同轴脉冲探头内嵌的探针采用尖针形时,对端口特性阻抗的影响及内部电磁场的扰动都很小,可满足ns级瞬变脉冲测试校准需要。     

复杂脉冲单发频域干涉测量

以傅里叶变换极限脉冲作参考脉冲,利用单次测量分析法对复杂的皮秒脉冲进行测量,用窗口傅里叶变换代替傅里叶变换对干涉条纹进行时间-频率分析,直接提取出复杂脉冲的啁啾特性或光谱成分,将光谱图中的功率密度S(ω,t)沿ω轴求和重建脉冲的时域包络.分别用该方法和传统频域干涉测量法测量一个线性啁啾脉冲和一个复杂脉冲.结果表明,该方法可实现复杂整形脉冲的实时测量,且时间分辨率为70 fs.     

纳秒脉冲电压的波形重建

 介绍了一种根据脉冲电压测量系统的输入输出波形对纳秒脉冲电压信号测量系统进行参数计算的方法和技术，该方法基于最优化原理，并将其应用于快脉冲电压波形的重建。重建的波形用电容分压器实测波形进行了检验，表明重建波形有比用积分器更好的效果。     

快响应磁芯式Rogowski线圈

为减小线圈响应时间,提高脉冲大电流信号的测量精度,设计了ns级快脉冲响应的Rogowski线圈。根据电磁理论,给出了线圈关键参数的计算公式,并对其进行了工程制作。通过引入50Ω的阻尼电阻,消除信号电压波形前后沿处的高频寄生振荡。对Rogowski线圈的等效电路进行了Pspice电路模拟,验证了线圈的输出特性,与理论分析结果一致。用50 ns和10 ns方波脉冲分别对线圈进行定标,其响应时间分别为2.43和1.10 ns,灵敏度为3.34 A/V。利用该线圈对高压ns脉冲发生器的负载电流进行测量,结果表明线圈能够较好地响应10 ns,kA级脉冲大电流信号。     

基于S变换滤波解相法的条纹解相研究

S变换可以看作是介于小波变换与窗口傅里叶变换之间的变换,具有很强的时频分析能力,它将一维信号变换为时间(空间)和频率的函数,称为瞬时S变换谱,在沿窗口移动方向上,S变换谱的叠加可得到全局信号的傅里叶频谱。在S变换用于条纹解调时,局部基频的正确提取是确保获得全局信号基频分量的关键。为此研究了不同的滤波过程对S变换解调条纹相位的影响,利用不同的滤波器,在对局部S频谱进行加权滤波后,叠加局部基频,得到全局基频分布,然后再利用逆傅里叶变换获得条纹的相位分布,从而重建被测物体的面形。讨论了阈值滤波、平顶高斯和平顶汉宁滤波、"脊"线拟合后的平顶高斯和平顶汉宁滤波在S变换轮廓术中的应用,通过计算机模拟和实验,初步对比了滤波效果。     

基于时频波谱对易原理分析莫尔条纹谱

数值解析信号波形时频域对易演变过程,研究任意信号波形与频率组分的内在联系, 并将该对易原理应用于莫尔条纹相位分析,提取相位信息。采用矩形窗模拟冲激波形和直流波形的变换过程,通过控制矩形窗函数窗宽,获得各种宽度矩形脉冲,窗宽趋于零情况下获得冲激波形,趋于∞获得直流波形。自开发快速傅里叶变换(fast Fourier transform, FFT)系统,对矩形脉冲实施离散傅里叶变换,方便快捷获得相应频谱数值解析波形,分析波形与频谱对易关系。结果发现,矩形窗函数频谱是Sa函数,窗宽变化导致Sa函数波形变化。窗宽减小时,Sa函数波形展宽,振动舒缓,趋于零极限时,变成直流波形。窗宽增大时,Sa函数波形紧缩,振动加剧,趋于∞的极限时,演变成δ冲激波形,信号波形时频域是对易的。根据时频域波形与频谱对易关系,在分析莫尔条纹时,将莫尔条纹的一级谱滤出并归一,由波谱对易原理,时域信号将体现Sa函数,使条纹对比分明,便于提取相位信息。     

同轴电缆测量纳秒脉冲信号衰减的数字补偿

 为了减小较长的信号传输电缆对纳秒量级前沿测量信号波形的畸变,提出了一种同轴电缆信号衰减数字补偿的方法。该方法利用信号在电缆中传输的衰减特性,结合标定或者扫频所得频响进行拟合,得到电缆的频响特性函数,再对电缆的出口信号进行反补,可以重建入口信号。经过实验验证,此补偿方法可以明显改善信号传输系统的频响特性,对于实验中的100 m的SYV-50-7-2同轴电缆,补偿前传输带宽-3dB约在40 MHz处,补偿后传输带宽约为1 GHz。     

Estimation of ultrasound attenuation and dispersion using short time Fourier transform

Determination of the acoustic attenuation and dispersion has important applications in ultrasound tissue characterization and non-destructive material testing. Current signal processing methods Fourier transform of ultrasound signals to get the spectra of amplitude and phase to estimate respectively the attenuation and dispersion of a given medium. These methods are frequency domain method and obsessed with ambiguity issue in the phase unwrapping calculation. Conventional ultrasound velocity measuring method detects the time of arrival of a pulse (or echo) signal, which is a time domain method to compute group velocity (not phase velocity). This paper presents a novel approach based on the short time Fourier transform (STFT)--a time-frequency analysis, to estimate the ultrasonic dispersion and attenuation. Only the amplitude information of the pulse-signal spectra is used. Based on the time-frequency presentation, the attenuation coefficient of the signal is obtained by computing the amplitude decay of pulse spectrum in time domain, while phase velocities are obtained based on the "time-of-flight" (TOF) of the mono frequency component of the pulse signals. As a result, we eliminate the ambiguity issue in phase angle calculation. Furthermore, the proposed method makes the phase velocity pedagogically intuitive for novice users. The paper presents experiments to evaluate demonstrate the performance of the proposed method.     

Spectrum measurement in the fractional Fourier domain

Fractional Fourier transform (FRFT) plays an important role in many fields of optics and signal processing. This paper considers the problem of real-time measurement of the spectrum of a signal in the FRFT domain. In this paper, we propose two approaches for real-time measurement of the FRFT of a signal based on modulation and bandpass filtering systems. The relation is established between the linear frequency modulation (LFM or chirp) spectrum and the FRFT of its envelope. In addition, two applications for spectrum measurement are presented in the FRFT domain. The LFM signal can be bandlimited in the Fourier transform (FT) domain through spectrum measurement associated with bandpass filtering method. The results can also be useful in the problems related to swept-frequency filter for measurement in the FRFT domain.     

基于多项式调频Fourier变换的信号分量提取方法

为了从含有噪声的混合信号中有效提取各个信号分量, 提出一种基于多项式调频Fourier变换的分量提取方法. 通过研究Fourier变换和分数阶Fourier变换的信号能量积累方式及变换基函数的时频表示, 提出利用时频平面上的多项式调频曲线族代替Fourier变换和分数阶Fourier 变换的调频直线族, 将变换的适用范围扩展到非线性调频信号. 采用粒子群智能优化算法搜索调频曲线族的最优多项式参数, 使混合信号中的某一分量在多项式调频Fourier域上能量谱集中. 最后对能量谱集中的分量进行窄带滤波, 并利用多项式调频逆Fourier变换重构信号分量. 仿真实验结果表明, 该方法不仅能够提取混合信号中的线性调频分量, 还能够实现非线性调频分量的能量谱集中、信号分离和时频特征提取.     

Direction of arrival estimation for underwater acoustic target based on compressed sensing after blind reconstruction of array signal in frequency domain

The performance of direction of arrival(DOA) estimation based on compressed sensing(CS) decreases in the complex ocean marine environment.In order to tackle this problem,a method of DOA estimation for underwater acoustic target based on CS after blind reconstruction of array signal in frequency domain is proposed.Firstly,the received array data are transformed to frequency domain by Fourier transform and frequency domain wideband signal are divided into part overlapping multiple sub-band array signal.Secondly,each subband array signal are separated using plural blind source separation(BSS) method,the sub-band separated matrix and target signal can be estimated.Thirdly,the array signal in frequency domain are reconstructed according to the separated matrix and separated signals which were not noises.Fourthly,the sub-band spatial spectrum corresponding to the reconstructed array signal is obtained by CS beamforming method.Finally,the total spatial spectrum is achieved by summing the all sub-band spatial spectrum.And the target direction can be estimated by searching the peak value of the total spatial spectrum.The verification results of simulator data and sea measured data show that,under the same conditions,the target detection ability and direction precision of the proposed method is superior to the classical minimum variance distortionless response(MVDR) method,frequency domain CS method,BSS combined with MVDR method.The spatial spectrum energy of faint target signal is improved obviously,and the ability of the sonar to detect faint target is enhanced.     

Extract echo signal in HFR imaging system

Ultrasonic high frame rate (HFR) method was developed by Jianyu Lu in 1997. This method constructs images in frequency domain; the spectrum of space domain objects is calculated based on the spectrum of echo signals, and the image is obtained by using IFFT (inverse fast Fourier transform). Because of this imaging process, the echo signal from each individual scatterer cannot be obtained directly. In this paper, we present a method, which can pick up the echo signal of every scatterer in HFR imaging method. Computer simulation has been performed to verify our method. With the new method we have developed, many other imaging methods, such as Doppler blood flow and elastic imaging, can be easily combined with HFR method to give more information of the imaged objects.     

Least squares approach in wavenumber domain for sound field recording and reproduction using multiple parallel linear arrays

A novel signal processing method is proposed for sound field recording and reproduction using multiple parallel linear microphone and loudspeaker arrays. In sound field recording and reproduction, the problem is how to calculate the transfer filters that transform the signals recorded by microphones into the driving signals of the loudspeakers. The proposed method is based on the spatial Fourier transform in the horizontal angle combined with the least squares (LS) approach in the elevation angle. In the proposed method, the signals recorded by each linear microphone array and those that drive each loudspeaker array are decomposed into the wavenumber domain by the spatial Fourier transform in the horizontal direction. The transfer filters are then calculated by the LS approach in the wavenumber domain. As a result, the size of the matrix of each transfer function in the wavenumber domain is much smaller than that of the conventional LS approach in the temporal frequency domain (LSTF), and well-conditioned stable transfer filters can be obtained with low computational cost without regularization. Computer simulation results show that the proposed method reconstructed a sound field around the control points as accurately as the conventional LSTF.