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.     

流形学习在运动声源声特征提取方面的研究*

运动声源因声信号时变性、叠加性和空时耦合性强,声数据呈现高维、非线性等特点,使得关键声特征提取困难,声特征提取方法复杂度高、数值计算量大、有效性差。因此,如何有效提取声特征并降低提取方法复杂度成为目前多源声场声源精准识别需迫切解决的关键科学问题。由此,该文提出短时傅里叶变换(STFT)和局部线性嵌入算法(LLE)联合的STFT-LLE流形学习声特征提取方法,并将此方法应用于运动声特征提取,且通过仿真实验测试对其进行了验证。该方法为运动声目标的分类识别提供了技术支撑。     

基于希尔伯特-黄变换的近红外脑功能成像信号分析

近红外光谱技术(Near-infrared spectroscopy,NIRS)已被广泛应用于无损大脑功能检测,然而传统时频分析方法并不适用于非稳态、非线性的血氧信号。在视觉刺激实验中,采集被试前额叶的血氧信号,分别比较了傅里叶谱分析法、小波谱分析法和希尔伯特黄变换(Hilbert-Huang transform,HHT)方法在近红外脑功能成像信号分析中应用的结果。实验表明基于希尔伯特黄变换的谱分析方法优于其它两种方法,并且使近红外光谱研究可以采用事件相关设计的实验,为形成近红外光谱信号分析的标准方法开辟了新的途径。     

ICF靶腔曲面光场计算

传统的衍射计算方法都是针对衍射场为平面的计算,对于ICF靶腔衍射场为曲面时,计算困难。通过比较常用衍射计算方法的优缺点,基于层析成像的思想,提出采用快速傅里叶变换分层计算,并根据最相邻原则拟合曲面衍射场光场分布的快速计算方法。该方法可以计算出任意给定空间曲面上的光场分布,且具有计算快速、结果精确的优点。模拟分析表明,当分层数足够大时,采用该方法可有效解决ICF靶腔内壁曲面光场的计算问题。     

利用冲击声辨识声源材料的特征提取

声源辨识属于环境声识别的范畴,是模式识别的一个重要研究方向。冲击声携带了大量的声源物理信息,因此利用冲击声提取特征进行声源材料辨识是提高声目标识别分类性能的重要途径。对球-板撞击物理模型合成的冲击声连续统,提出使用基函数学习法提取目标特征,同时利用短时傅里叶变换和小波包变换进行特征提取,以此为基础完成被击平板的材料识别。研究结果表明,利用基函数学习法获得的特征,对于冲击声分类的效果明显优于短时傅里叶变换和小波包变换方法,说明利用该方法进行冲击声声源材料辨识的可行性和优势。      

子波变换在光信息处理方面的应用

子波变换是光信息处理中的一个重要工具，与常用的傅里叶交换和Ｇａｂｏｒ变换相比，在分析瞬态信号方面有很多优点。此文详细介绍子波变换的基本原理以及如何用光学方法实现子波变换，揭示其在光信息处理方面的应用前景。     

Laser-ultrasonic generation of Lamb waves in the reaction force range

The Laser-ultrasonic generation of Lamb waves in an elastic plate is investigated theoretically and experimentally for a laser source whose intensity is high enough to create reaction forces (normal tractions) on the illuminated surface of the specimen. The analytical solutions for transient waves are derived using the integral transform method first by considering an arbitrary source shape and time excitation function, and then specifically for circular and line source shapes. The simulation study allows us not only to predict the behavior of individual wave modes but also to construct the overall responses; thus it helps us better understand the wave excitation mechanisms. The dispersive and multi-modal nature of laser-generated Lamb waves is presented by showing the spatiotemporal Fourier transform of displacements obtained by the simulation study. The transform, displayed in the frequency-wave number domain, enunciates the characteristics of the propagating individual Lamb wave modes. The simulation results are then compared with the 2-D Fourier transform of a set of experimental data obtained by scanning an aluminum plate specimen.     

基于霍夫变换与线性啁啾变换的粒子全息图分析方法研究

基于霍夫变换及线性啁啾变换,提出在空域及频域中分析数字全息图中颗粒粒径大小的方法.在对粒子全息图进行降噪滤波、边缘提取等预处理后,利用弦中点霍夫变换检测粒子的圆心位置,然后以圆心为起点径向扫描出归一化光强分布曲线,求出空域第一个极小值位置.对光强信号做傅里叶变换,结合线性啁啾变换做局部频谱细化,求出频域第一个极小值位置.利用所得极小值位置,代入公式,即可求解颗粒粒径大小.数值计算结果表明,对于粒子间距较大的粒子全息图,该方法误差在2.5%以内.     

基于声压-振速测量的单面声场分离技术

在近场声全息技术的基础上,研究了基于声压-质点振速测量的单面声场分离技术.分析了现有基于Fourier变换的单面声场分离技术中的奇异性问题,并应用波数域谱平均法提出了去除奇异性的修正声场分离公式.为改善分离效果,减小由于Fourier变换引起的卷绕误差等因素的影响,基于统计最优近场声全息提出了一种新的单面声场分离方法.通过仿真分析对各种单面声场分离方法做了比较,并用Microflown公司的声强探头做了基于声压-振速测量的单面声场分离实验研究,验证了提出的修正公式和基于统计最优单面声场分离方法的正确性和有效性. 关键词： 声场分离 近场声全息 统计最优 Fourier变换     

Feature extraction for sound source material recognition with impact sounds

Sound source recognition is a part of environmental sound recognition,which is one of the most important research areas in pattern recognition.Impact sounds carry much physical information associated with the sound sources,which makes impact sound based sound source recognition an important approach to improve recognition performance.In this study,the impact sound continuum synthesized with a ball-plate collision model is used for material recognition of the impacted plates.The basis function learning method and time-frequency representation methods,including the short time Fourier transform and the wavelet packet transform,are applied into classification and the recognition results are compared.The result shows that the features obtained by using the basis function learning perform better for material classification of the impacted plates than that by using the short time Fourier transform and the wavelet packet transform.This demonstrates the high efficiency and superiority of this method in material recognition of sound sources.     

三维测量中一种新的自适应窗口傅里叶相位提取法

针对多尺度窗口傅里叶变换中,窗口尺寸的自适应选取及提取基频时的频谱混叠等问题,提出基于希尔伯特-黄变换(HHT)的自适应窗口傅里叶相位提取法。对变形条纹信号进行HHT后,通过谱分析,自适应确定能够准确描述条纹信号变化情况的瞬时频率及条纹图的背景分量。根据所得的瞬时频率,给出自适应定位条纹信号局部平稳区域的步骤,进而确定窗口尺寸。不需额外计算,可有效去除背景分量以减少基频提取过程中零频频谱的干扰。与现有的用最大脊法确定窗口尺寸的方法相比,本方法不受被测相位必须线性逼近且变化缓慢的前提约束。实验证明本方法有效、可行,且对测量携带陡峭边缘或面形复杂的物体也能进行较为精确有效的测量。     

混沌干扰中基于同步挤压小波变换的谐波信号提取方法

针对混沌干扰背景下多个谐波信号的提取问题, 提出了一种基于同步挤压小波变换(SST)的谐波信号抽取方法. 首先利用SST将混沌信号和谐波信号组成的混合信号分解为不同的内蕴模态类函数, 然后利用Hilbert变换对分离出的内蕴模态类函数进行频率识别, 从中分离出各谐波信号. 以Duffing混沌背景为例, 对混沌干扰下多谐波信号的提取进行了实验分析. 实验结果表明: 对于不同频率间隔的多个谐波分量, 本文方法的提取结果都具有较高的精度, 而且所提方法对高斯白噪声的干扰具有较好的鲁棒性, 综合提取效果优于经典的经验模态分解方法.     

基于极坐标变换去除计算机层析图像环形伪影

探测器像元响应的不一致、光源能不稳定等因素使得计算机层析(CT)图像中含有较多的环形伪影,严重降低了图像质量,影响了图像的三维重建和量化分析,为此提出了基于极坐标变换与傅里叶变换后低通滤波的算法去除环形伪影。通过极坐标变换将直角坐标下的环形伪影转化为极坐标下的线性伪影,然后对线性伪影图像进行傅里叶变换获得频谱图像,进而设计二维低通滤波器进行滤波处理,最后通过傅里叶逆变换与坐标逆变换获得校正后的图像。利用Matlab软件,编写程序对算法进行验证,结果表明,该算法能够有效地去除环形伪影,使图像内部细节清晰可见,并且保护了图像边缘信息,提高了图像的信噪比;另外,使用该方法处理100张切片图像只需3.5min,可满足批量处理的需求。     

Interference structure of low-frequency reverberation signals in shallow water

Using numerical simulation, an analysis was conducted of the interference structure of a bottomscattered sound field generated by a wideband point source in shallow water under winter and summer conditions. The scattered signals were received from the place where the source was located and were subjected to Fourier transform with a sliding window. The paper demonstrates the possibility of estimating the waveguide invariant for backscattered signals when processing the sound intensity distributions in wide frequency and distance ranges up to the scattering area. A technique is proposed for reconstructing the twodimensional field of internal waves using variations of the interference pattern of reverberation signals. The influence of wind surface waves on the degree of interference band contrast is illustrated.     

小波变换在载频条纹相位分析法中的应用研究

为了克服在非平稳信号分析中傅里叶变换的全局性缺陷,以及窗口傅里叶分析的单一分辨率和伸缩窗口傅里叶分析的尺度不确定性问题,采用伽博解析小波变换技术对空间载频光栅条纹进行相位分析,有效地提取出相对于载频条纹基频的完整相位信息,从本质上解决了上述问题。以三维轮廓术为例,与傅里叶分析进行了对比研究,给出了小波分析应用在空间载频条纹相位分析中详细而完整的理论推导证明、计算机模拟以及实验验证结果。     

Generalized fractional S-transform and its application to discriminate environmental background acoustic noise signals

We propose a modification of S-transform (ST) by changing the kernel of Fourier transform (FT) with that of fractional Fourier transform (FRFT) and call it generalized fractional ST (GFST). The FRFT is a generalization of FT and it has been shown more useful than the FT for signals with changing frequencies such as chirp signals. The proposed GFST is applied to analyze and classify different environmental background sound mixed with speech signal in the form of additive noise. The simulation results demonstrate that Euclidean distance between the feature vectors computed from generalized fractional ST corresponding to different background noise is increased as compared to ST for the same set of feature vectors and signals.     

Prony's method applied to estimate noise source locations and their sound powers

An application of Prony's method for evaluating the acoustic power and location of sound sources from spatially sampled data is described. A sound source considered as a point source has an intensity proportional to the inverse square of the distance between source and observation point. The Fourier transform of this intensity function is an exponential function with a real exponent. The shift property of the Fourier transform results in a spectral change in the phase angle, which is expressed in the transform domain by a multiplicative exponential function of pure imaginary exponent. In this paper the usual time axis of the Fourier pair of time and frequency is treated as a variable denoting the location of the sound source. Accordingly, each spectral component of spatially sampled sound intensity generated by n point sources can be expressed as a linear combination of n complex exponentials. By applying Prony's method to the spectral data, these unknown exponents can be calculated numerically. This paper deals with an estimation procedure to find the location and power of a noise source. The estimation is done by minimizing the sum of the squares of the errors between the model and measured data. The proposed method has general applicability to problems where the so-called inverse square law for intensity can be assumed to be valid.     

ns脉冲测量中的波形重建

为修正高电压测量探头寄生参数对测量ns脉冲波形的影响,对探头的数字补偿方法进行了研究。利用对低电压标定所得标准参考信号和探头信号做傅里叶变换,得到其各自的频谱密度,然后通过相除,得到探头灵敏度与频率的关系和信号相位与频率的关系。在实测时,再对测得信号做傅里叶变换,将得到的频谱密度乘以探头灵敏度及信号相位对频率的函数,通过傅里叶逆变换重建出待测信号。通过不同信号进行波形重建实验证明,此方法能够在短时间内很好地修正高电压测量探头寄生参数对ns脉冲波形的畸变。     

基于小波阀值消噪的硝铵NQR信号处理

针对硝铵（AN）核电四极矩共振（NQR）信号通过傅立叶变换频域分析缺乏信号时域信息的特点,对硝铵NQR信号进行时频分析,达到从强背景噪声下检测出NQR信号的目的. 引入小波分析阀值去噪的方法对硝铵NQR信号进行处理. 对处理后数据与标准信号之间的相关系数进行分析. 实验结果表明小波阀值去噪方法可以成功检测到硝铵的NQR信号.