A Modified Root-MUSIC Algorithm for Signal DOA Estimation

This paper presents a modified Root-MUSIC algorithm by which the signal DOA estimation performance can be improved when the snapshot number is limited. The operation principlesof this algorithm are described in detail. It is also pointed out theoretically that this is equivalentto have increased the snapshot number and can make the DOA estimation better. Finally, somesimulating results to verify the theoretical analyses are presented.

MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE

In this paper, we consider a MUSIC algorithm for locating point-like scatterers contained in a sample on flat substrate. Based on an asymptotic expansion of the scattering amplitude proposed by Ammari et al., the reconstruction problem can be reduced to a calculation of Green function corresponding to the background medium. In addition, we use an explicit formulation of Green function in the MUSIC algorithm to simplify the calculation when the cross-section of sample is a half-disc. Numerical experiments are included to demonstrate the feasibility of this method.

Multipath Time Delay Estimation Based on MUSIC Algorithm Under Small Sample Conditions

On account of the traditional multiple signal classification(MUSIC)algorithm has poor performance in time delay estimation under the condition of small sampling data and low SNR.In this paper,the traditional MUSIC algorithm is improved.The algorithm combines the idea of spatial smoothing,constructs a new covariance matrix using the covariance information of the measurement data,and constructs a weighted value using the modified noise eigenvalues to weight the traditional estimation spectrum.Simulation results show that the improved algorithm has steeper spectral peaks and better time delay resolution under the condition of inaccurate path number estimation.The time delay estimation accuracy of this algorithm is higher than that of the traditional MUSIC algorithm and the improved SSMUSIC algorithm under the conditions of small sampling data and low SNR.

A Time-Frequency Associated MUSIC Algorithm Research on Human Target Detection by Through-Wall Radar

In this paper,a time-frequency associated multiple signal classification(MUSIC)al-gorithm which is suitable for through-wall detection is proposed.The technology of detecting hu-man targets by through-wall radar can be used to monitor the status and the location information of human targets behind the wall.However,the detection is out of order when classical MUSIC al-gorithm is applied to estimate the direction of arrival.In order to solve the problem,a time-fre-quency associated MUSIC algorithm suitable for through-wall detection and based on S-band stepped frequency continuous wave(SFCW)radar is researched.By associating inverse fast Fouri-er transform(IFFT)algorithm with MUSIC algorithm,the power enhancement of the target sig-nal is completed according to the distance calculation results in the time domain.Then convert the signal to the frequency domain for direction of arrival(DOA)estimation.The simulations of two-dimensional human target detection in free space and the processing of measured data are com-pleted.By comparing the processing results of the two algorithms on the measured data,accuracy of DOA estimation of proposed algorithm is more than 75%,which is 50%higher than classical MUSIC algorithm.It is verified that the distance and angle of human target can be effectively de-tected via proposed algorithm.

A MODIFIED HIGH-ORDER CUMULANT MUSIC ALGORITHM FOR SIGNAL DOA ESTIMATION

This paper gives a MUSIC signal DOA estimation algorithm based on the modified high-order cumulant matrix which is constructed by the recieved data and their conjugate rearrangements. When the snapshot number is limited, this algorithm can improve the signal DOA estimation performances obviously, and its computational complexity scarcely increases. Finally, some simulation results to verify the theoretical analyses are presented.

The Artifact-Free MEG-MUSIC Algorithm on Magnetoencephalographic Source Localization

Multichannel biomagnetometers can be used to measure the spatio temporal magnetic field produced by neural activity in a human brain. The measured data are usually contaminated by noise and some artifact signals. These artifact signals may be caused by heart beats or eye blinks. Actually, these artifact signal sources are also bioelectric activities. In this paper, we demonstrate the effectiveness of MEG MUSIC algorithm for eliminating the artifacts. In the paper, the artifact fields are not considered as noise but as signals that have a linear relationship with their bioelectric source activities. Computer simulations demonstrate that for the localization of sources distributed in the cortical region, the MEG MUSIC algorithm is also efficient under the presence of the artifacts.

基于MUSIC算法特征值损伤因子的板状结构损伤程度评估

研究了多重信号分类(MUSIC)算法在板状结构损伤检测中的应用,提出一种基于MUSIC算法特征值的损伤因子,为基于MUSIC算法的板状结构损伤成像技术提供了一种可靠的损伤程度评估理论。首先利用MUSIC算法计算的高精度特征值和Lamb波损伤散射信号幅值的相关性,采用Abaqus有限元仿真软件模拟不同程度的损伤,将板状结构中的损伤成像定位之后,根据散射信号将结构损伤程度转化为特征值变化量,根据特征值计算损伤因子,建立损伤评估模型预测损伤程度,并通过试验验证其正确性。试验结果表明,在合适的激励频率下,特征值损伤因子随着损伤程度的增加呈现出线性变化,能较好地反映损伤程度;该方法具有较高的准确性和稳定性,在一定损伤程度内能够有效地反映结构损伤程度。

局部放电定向超声阵列Dir-MUSIC测向算法仿真

超声波检测方法在电力设备绝缘状态检测定位中应用广泛。针对局部放电超声测向MUSIC算法存在的采样率要求高、计算复杂度大等不足,提出基于定向超声阵列信号强度信息的定向多重信号分类(directional multiple signal classification,Dir-MUSIC)算法。在阐述该算法理论模型和应用条件基础上,针对均匀圆盘超声阵列,仿真研究了不同增益方向图主瓣宽度、不同信噪比条件下Dir-MUSIC算法的测向精度。仿真结果表明8阵元阵列在-5 dB信噪比、方向图主瓣宽度为90°~120°时测向精度最高,均方根误差小于2°。最后基于研制的微型机电系统麦克风(microelectro-mechanical system,MEMS)定向超声阵列进行了测向试验,结果表明8阵元圆盘超声阵列测向均方根误差最小为2.76°,测向标准差最小为2.72°,验证了Dir-MUSIC算法的有效性与准确性。

基于Root-MUSIC算法的激光扫频干涉测量方法研究

玻璃的厚度作为工业生产中的一项重要的指标,如何对其快速的测量成为了研究热点。提出采用激光扫频干涉测量方法,将采样的信号进行插值拟合,校正其拍频非线性,再通过频谱估计法获取距离信息。当测量厚度较小的玻璃时,FFT算法因受栅栏效应和频谱干涉的影响,导致难以在频谱图中将玻璃前后表面的频率区分出来。为解决该问题,采用Root-MUSIC算法处理信号,实验结果表明在FFT算法分辨临近目标频率失效的情况下,Root-MUSIC算法可以进行有效区分,运算效率也远高于MUSIC算法,且精度可达50微米左右,为解决玻璃厚度测量问题提供了思路。

改进MUSIC算法的超声波测风方法研究

针对传统超声波测风装置测风精度不高、抗噪声能力弱,提出了一种改进多重信号分类(multiple signal classification,MUSIC)算法的超声波测风方法。采用一种弧形6阵元超声波传感器阵列的测风结构,推导其阵列流型;在此基础上,添加小波阈值降噪算法提高信号信噪比,降低噪声信号协方差矩阵的秩;再使用PHAT加权广义互相关时延估计算法以提高时延估计的准确性,同时根据时延关系对传统MUSIC算法矢量矩阵进行改进;最后通过MUSIC算法实现对风速风向的测量。理论分析与仿真结果表明:改进后的MUSIC算法具有较好的抗噪性能和较高的风参数测量精度,测量风速绝对误差达到0.15 m/s,风向绝对误差达到2°,可以应用于对风参数要求较高的场景。

基于弧形阵列的局部放电Dir-MUSIC定位算法

局部放电是衡量电力设备绝缘状态的重要指标,局放检测需要解决局放源定位问题。多重信号分类(multiple signal classification,MUSIC)采用全向天线作为接收阵列,可实现多源信号的超分辨率空间谱估计,但要求高信号采样率,且在低信噪比情况下抗干扰能力不足。为此,提出基于弧形阵列的Dir(directional)-MUSIC算法,采用定向天线接收信号的强度信息,实现低信噪比下的局放源波达方向估计。设计了接收局放信号的Vivaldi天线阵列,并在不同信噪比下对算法的有效性进行仿真验证。结果表明:在低信噪比-10 dB来波方向5°下角度误差为0.14°,优于MUSIC算法;阵列在信噪比10 dB,测向范围[-80°,80°]内定位均方根误差小于1.5°。证明了基于弧形阵列的Dir-MUSIC算法有效提高了局放定位精度,且对噪声具有良好的鲁棒性,具有用于局放检测的潜力。

一种奇异值分解与子空间加权联合的改进MUSIC算法

在低信噪比、小快拍数等非理想条件下,经典DOA估计算法对邻近目标的分辨率严重下降,甚至失去分辨能力。针对这一问题,提出了一种将重构的接收信号协方差矩阵进行奇异值分解并与改进的加权子空间方法相结合的改进算法。该算法充分利用互相关信息构建新的接收信号协方差矩阵,并对噪声子空间信息采用新的校正方法,对噪声特征值进行改造,之后对噪声子空间进行加权,最后与信号子空间加权技术相联合。仿真实验证明,改进算法在低信噪比和小快拍数条件下可以分辨间隔4°的相邻目标,统计分析表明该算法的分辨率明显优于经典MUSIC算法。

DQ变换和MUSIC算法在ITER磁体电源信号间谐波检测中的应用

随着国际热核聚变实验堆(International Thermonuclear Experimental Reactor,ITER)计划的逐步开展,保证ITER磁体电源系统的稳定运行显得尤为重要。文章采用将DQ变换和多信号分类(multiple signal classification,MUSIC)算法相结合的方法进行间谐波频率检测,信号的幅度和相位由最小二乘法来估计。DQ变换可以消除大幅度ITER基波分量,MUSIC算法可以通过矩阵特征分解检测出短数据条件下的谐波和间谐波,适用短时平稳的间谐波检测,两者相结合可以有效检测出大幅度基波附近存在小幅度间谐波。仿真实验表明,计算经DQ变换后检测出的ITER信号谐波频率时,取中间信号计算真实频谱较为正确,两侧信号则有较大的误差。

一种改进的MUSIC算法在干扰源定位中的应用

在外场开展系统级电磁兼容性测试时,对于电磁发射类测试项目,为了将EUT信号与干扰信号区分开,需要对干扰源进行定位。利用基于阵列旋转的MUSIC算法(Multiple Signal Classification,多重信号分类)求解多信号的DOA(Direc-tion of Arrival,来波方向),能通过增加虚拟等效阵元的方式突破经典MUSIC算法信号数必须小于阵元数的限制,使MUSIC算法的应用范围扩大。

基于MFCC-CS-MUSIC的矿井提升机故障源精准识别方法研究

在煤矿生产领域中,矿井提升机作为一种辅助运输的设备,在矿井整个运输工程中承担着非常重要的作用,其安全性和稳定性直接影响着煤矿生产效率和井下工作人员生命安全。矿井提升机故障发生后,其声音信号也会随着设备运行状态而改变,因此可以通过分析该声音的特征来检测设备是否处于不正常运行状态。鉴于此提出了基于MFCC-CS-MUSIC实现的矿井提升机故障源精准识别方法。通过采集提升机音频信号,应用MFCC(梅尔频率倒谱系数)算法提取多个通道声音信号梅尔频率倒谱系数进行故障识别;应用MUSIC(多信号分类)故障识别后的音频信号进行定位求得信号的最小化波达方向。将MUSIC算法求得的DOA(波达方向定位)值作为优化变量,以计算DOA和测量DOA之间的差异为目标函数,利用CS(布谷鸟)算法对目标函数进行寻优,从而实现对提升机故障源精准定位。试验和应用结果均表明,利用CS算法优化后MUSIC算法得到的定位坐标误差Δψ在5°以内,实际位置坐标方位角误差Δθ在4°以内。该方法实现了提升机故障准确识别和提升机故障源的精准定位,大幅缩短了排查矿井提升机故障位置的时间,显著提升了矿井提升机的工作效率。

Melody Generator: A Device for Algorithmic Music Construction

This article describes the development of an application for generating tonal melodies. The goal of the project is to ascertain our current understanding of tonal music by means of algorithmic music generation. The method followed consists of four stages: 1) selection of music-theoretical insights, 2) translation of these insights into a set of principles, 3) conversion of the principles into a computational model having the form of an algorithm for music generation, 4) testing the “music” generated by the algorithm to evaluate the adequacy of the model. As an example, the method is implemented in Melody Generator, an algorithm for generating tonal melodies. The program has a structure suited for generating, displaying, playing and storing melodies, functions which are all accessible via a dedicated interface. The actual generation of melodies, is based in part on constraints imposed by the tonal context, i.e. by meter and key, the settings of which are controlled by means of parameters on the interface. For another part, it is based upon a set of construction principles including the notion of a hierarchical organization, and the idea that melodies consist of a skeleton that may be elaborated in various ways. After these aspects were implemented as specific sub-algorithms, the device produces simple but well-structured tonal melodies.

针对相干信号DOA估计的改进MUSIC算法

针对相干信号波达方向(Direction of Arrival,DOA)估计,提出了一种改进的多重信号分类(Multiple Signal Classification,MUSIC)算法。首先,利用信号协方差矩阵的两个最大特征值所对应的特征向量,构造出两个Toeplitz矩阵;然后,利用前后向空间平滑思想得到这两个矩阵的无偏估计并求和;最后,利用MUSIC算法从中估计出相干信号DOA。和已有方法相比,该方法无需损失阵列孔径且具有更优的DOA估计性能。

基于协方差矩阵重构的改进型MUSIC算法

针对经典MUSIC算法在信源相干条件下算法性能失效问题,提出一种基于数据协方差矩阵二次重构并对噪声子空间进行加权处理的改进型MUSIC算法。首先对接收到的数据协方差矩阵进行重构处理,然后根据特征值分解得到噪声特征值的最大值与最小值的比值关系,使用合适的加权系数得到新的噪声子空间并推导得到改进后的空间谱函数,最后结合谱峰搜索完成对信源目标的DOA估计。仿真结果表明,改进型MUSIC算法有效消除了信号的相干性,不造成阵列孔径损失,在低信噪比、小快拍数以及信号入射间隔较小的情况下,能有效估计出相干信号的波达方向。

一种基于MUSIC算法的宽带信号DOA估计

针对传统MUSIC算法在信噪比较低的条件下分辨力下降的问题,提出一种适用于宽带信号的改进MUSIC算法,首先对接收信号进行快速傅里叶变换,将时域信号转移至频域,并划分子带;对每个子带上的信号求解协方差矩阵,进行特征值分解,构造信号子空间和噪声子空间;将信号在两个子空间的投影比值作为参考,进行子带波达方向估计,进而平均求出最终宽带信号波达方向。仿真结果表明,在低信噪比条件下,相比于传统MUSIC算法,所提方法具有较好的空间分辨力。

基于特征值聚类的MUSIC算法

传统MUSIC算法需要预先知道目标信号源的个数,进一步确定信号子空间和噪声子空间的维数,最后进行谱峰搜索。在实际工程中,无法预知待测目标的个数,针对这一问题,提出了一种基于密度聚类算法的改进型MUSIC算法。该算法将协方差矩阵的特征值进行聚类,通过DBSCAN聚类算法可求出目标信号源的个数,再进一步估计出目标的方位。仿真结果表明:提出的改进算法在信号源个数未知的情况下能够准确估计出信号源的个数和方位,较传统的MUSIC算法有更大实用性。