动态时频谱分析、探测和跟踪的随机有限集法

动态出现和消失多分量信号的时频分析问题一直是非平稳信号处理的难点之一。为此,提出了一种分析、探测和跟踪多分量信号的随机有限集法。该算法利用时频变换,如短时傅里叶变换或自适应谱估计法,以及多项式预测模型,将多分量信号的时频分析问题归纳成可利用随机有限集进行多目标追踪的问题。分析表明：借助于提出的初始权重赋值算法,以及谱分量幅度和频率的联合似然函数,就可利用高斯混合概率假设密度滤波器来实现对动态时频谱的分析、探测和跟踪。在仿真实验中,所提算法有效提升了动态时频谱的跟踪精度,其对微弱时频谱分量的探测能力,以及对载频差异的分析能力均优于文献报道的算法。     

动态测量误差的希尔伯特-黄分解

针对傅立叶变换、小波变换等方法在分解动态测量误差时存在的不足,即选用不同的基函数会导致不同的分解结果,提出了基于希尔伯特-黄变换（HHT）的动态测量误差分解方法。该方法不需要选取基函数,可以自适应地分解动态测量误差信号;对一个混联式动态测量系统建立了全系统误差模型,并用该方法对测量系统的总误差信号进行了分解;与傅立叶变换、小波变换的分解结果相比,希尔伯特-黄变换的分解结果更准确,与测量系统的误差理论模型基本一致。     

旋转叶盘的非接触激光多普勒定点跟踪测试与振动分析

提出了一种旋转叶盘的非接触激光定点跟踪测振方法,以研究叶盘结构在旋转状态下的振动特性。通过控制扫描系统中x、y振镜的偏转实现对叶盘上任意定点的跟踪测试,同时搭建了旋转跟踪试验测试系统,以16叶片旋转叶盘的同步跟踪测试为例,对激光跟踪测试方法进行验证。通过对旋转叶盘定点跟踪测试得到的时域振动信号进行滤波处理和频谱分析,获得了旋转状态下叶盘的叶片前3阶固有频率对应的不同节径的模态族频率。结果显示:激光对旋转叶盘上一点的跟踪测试数据中,可以提取出整个叶盘的振动频率特性。对比不同转速下旋转叶盘的有限元仿真计算与跟踪测试结果,两者振型具有很好的一致性,且频差在5%以内,验证了该激光跟踪测量方法的可行性和有效性。为航空发动机等旋转机械运行状态下的振动测试提供了一种有效的技术手段。      

Doppler ambiguity resolution using multiple PRF

An algorithm for velocity ambiguity resolution in coherent pulsed Doppler radar using multiple pulse repetition frequencies (PRF) is presented. It relies on the choice of particular values for the PRFs. The folded frequency of the target signal is obtained by averaging the folded frequency estimates for each PRF, and a quasi maximum likelihood criterion is maximized for ambiguity order estimation. The fast implementation of this nonambiguous estimation procedure is based on the fast Fourier transform (FFT), The proposed waveform allows full exploitation of any (even) number of PRFs, which appears to be important for estimation improvement. The effects of the waveform parameters and the folded frequency estimation variance on the performance of the ambiguity order estimation procedure are evaluated theoretically and through computer simulations. Mean square error (MSE) curves are given to assess the Doppler frequency estimation accuracy. Finally, the new method is compared with a classical technique and the implementation of the algorithm in a clutter environment is addressed.     

一种虚拟信号分析仪的设计

介绍了虚拟信号分析仪的结构和现代信号的处理方法。基于傅立叶变换、短时傅立叶变换和小波变换,提出了一种虚拟信号分析仪的系统软件模块的实现方法。该方法利用这三种变换,对信号进行多次处理,能够得到信号的时域、频域和时频域信息,能够对信号进行降噪处理。实验表明,利用此分析仪,能够测量信号的周期、频率、瞬时频率、时频变换趋势和奇异点,并且能以图形的形式显示出来。     

Two novel automatic frequency tracking loops

Two automatic-frequency-control loops are introduced and analyzed in detail. The algorithms are generalizations of the well-known cross-product automatic-frequency-control loop with improved performance. The first estimator uses running overlapping discrete Fourier transforms (DFTs) to create a discriminator curve proportional to the frequency estimation error, whereas the second one preprocesses the received data and then uses an extended Kalman filter to estimate the input frequency. The algorithms are tested by computer simulations in a low carrier-to-noise-ratio (CNR) and highly dynamic environment. The algorithms are suboptimum tracking schemes with a larger frequency error variance compared to an optimum strategy, but they offer simplicity of mechanization and a CNR with a very low operating threshold     

Hough transform for long chirp detection

The online detection of a very long and weak chirp signal is studied. The signal has an extremely slowly decreasing frequency, and is corrupted by white Gaussian noise and possibly also by powerful tones. By exploring and comparing candidate methods, it is found that the Hough transform (HT) detector appears to be most suitable given constraints on computational load and detectability. The analytical and the simulational performance of the HT detector are obtained and compared with the analytical performance of the generalized likelihood ratio test (GLRT), which is assumed to be optimal. Applying a suitable threshold for the HT can increase speed dramatically while preserving performance. We have found that both dithering (taking varied frequency shifts for fast Fourier transforms (FFTs)) and increasing the FFT length can reduce the minimum detectable frequency slope with nearly no additional computation     

抗混叠时频域融合算法及在叶片响应分析中的应用

为解决现有的时频域融合算法中反复使用快速傅里叶变换而出现频谱混叠误差和频谱系数周期性重复的问题,采用快速抗混叠傅里叶变换取代原有的快速傅里叶变换,从计算精度和效率两个方面对时频域融合算法进行改进.使用改进后的抗混叠时频域融合算法对某真实叶片的非线性强迫振动响应进行了计算,并与原算法的计算结果进行了比较.计算结果表明:抗混叠时频域融合算法在保证精度的前提下,计算速度约为原算法的4倍.该算法适合于有限元模型、精度要求高的非线性系统的动力学响应分析.      

基于切片熵权的WHT多LFM信号识别方法

为提高在低信噪比与先验信息不足条件下对线性调频(LFM)信号识别能力,借鉴信息论中的熵权法改进WHT(Wigner-Hough Transform),提出了一种基于切片熵权的WHTE(Wigner-Hough Transform based on Entropy)算法。推导出LFM信号的WHT与对应特性,将WHT变换域内极半径和角度切片的熵值来转换为权重因子,进而对每个切片进行加权处理,采用双层权重以弱化噪声与干扰项的影响,并推导出LFM信号与高斯白噪声在WHT维度内不同假设条件下的概率密度分布函数,构建了对于LFM信号WHT后恒虚警检测的完备流程。通过理论分析与公式推导论证了算法的可行性,并与WHT、分数阶傅里叶变换与周期WHT算法的仿真对比,验证了算法的有效性,凸显WHTE算法能够在强噪声背景下与没有先验支撑时实现对LFM信号的良好检测。     

基于短时傅里叶变换的Duffing振子微弱信号检测

研究了Duffing振子信号检测过程中混沌、间歇混沌和大周期状态的时频特征,提出了一种基于检测统计量的任意频率信号检测方法。通过对系统不同状态下的输出序列进行短时傅里叶变换(STFT)发现,等幅线和三维时频分布能够体现出不同状态的显著差异,且可以完全区分出每一种状态。从构造统计量的易实现性出发,用三维时频分布中的幅时曲线作为衡量不同状态的依据,并将不同频率对应的幅时曲线的均值最大量作为检测统计量,该统计量的计算可以借助快速傅里叶变换(FFT)操作提高时效性。在此基础上,引入频率控制单元,给出了任意频率信号的检测方法步骤,方法的关键是将检测统计量最大值处所在的频率作为待测信号频率范围的一个端点,另一个端点为毗邻的两个检测统计量值较大者所在频率点。实验给出了不同状态的检测统计量范围,进而以此范围为判据,实现了振子对任意频率信号的检测,说明了方法的可行性,为Duffing振子信号检测问题的研究提供了一种新的思路。     

406 MHz ELT signal spectra for SARSAT

The signal format and spectral properties of the 406-MHz emergency locator transmitter (ELT) used in the search and rescue satellite aided tracking (SARSAT) system are examined. The ELT improves location estimate accuracies and can relay information about the particular aircraft and its problem, by means of the digitally modulated message fields. It is shown that due to the RF signal frequency characteristics and the Doppler shift, processing must be performed over a frequency band of approximately 25 kHz. Through the use of the fast Fourier transformation (FFT), the frequency spectrum of the ELT is analyzed, taking account of effects due to noise, multiple simultaneously received signals, and Doppler shift. It is demonstrated that the FFT provides an effective means for detecting and recognizing the presence of one or more ELT signals over this 25-kHz frequency band. Some recommendations are made to improve the spectral characteristics and the performance of the ELT     

北斗导航接收机频率稳定度传递算法

为了提高北斗导航接收机的灵敏度,提升其弱信号跟踪能力,通常需要利用长时间的相干积分来提高环路信噪比。但是,当相干积分时间加长到一定程度时,环路性能反而有所下降,信噪比提升也不能达到理论值。针对由剩余频率误差和晶振误差引起的相干积分能量损失问题,主要研究了频率偏差对环路跟踪性能的影响,并提出了利用频率稳定度传递策略辅助弱信号跟踪的方法,解决了北斗导航接收机弱信号跟踪性能提升的问题,最大程度地改善了相干积分的效果,实现了对弱信号的跟踪。利用软件接收机平台对提出的频率稳定度传递算法进行验证,仿真结果表明该算法可使环路信噪比提升4dB ~5dB,充分说明了其可行性及有效性。     

Optimum Cross-Coupled Tracker for Pulse-Doppler Radar

Although there is a well-defined relation between range and range rate, in conventional pulse-Doppler tracking radars the range-gate and frequency control loops are usually closed independently. In this paper, the optimum cross- coupled stationary tracking filter is derived, in which the range error signal is used to boost the frequency loop, and vice versa. The filter is derived for a general case of target dynamics and uncorrelated white noise in both the range gate and frequency control channels. It is shown that its tracking performance is superior to that of the conventional uncoupled tracking loop for reliable frequency channel operation. In solving the usually difficult degenerated Riccati matrix equation, a simple solution is obtained by applying the method of completion of the square to matrixes.     

Interference Effects of Pseudo-Random Frequency-Hopping Signals

When a pseudo-random frequency-hopping signal is intercepted by a conventional receiver operating within the same frequency band, the interfering signal has the form of a pulse-amplitude modulated signal. Each pulse amplitude is dependent upon the hopping frequency and the selectivity characteristic of the victim receiver. The probability density function for the interfering pulse amplitude prior to demodulation is determined when the probability density function for the hopping frequency is uniform and the victim-receiver characteristic is 1) ideal flat bandpass, 2) single tuned, and 3) Gaussian shaped. It is shown that the average interfering pulse amplitude and interference power decrease as the frequency-hopping bandwidth increases with respect to the victim-receiver bandwidth. Fast Fourier transform computer techniques are used to obtain the probability density function of the interference amplitude in a Gaussian receiver when several (from 2 to 10) pseudo-random frequency-hopping systems are simultaneously using the same frequency band. The probability that the interference exceeds a prescribed threshold value is computed from the derived probability density functions. This probability may be used in signal-to-interference ratio calculations, to describe the capture effect, or to compute the expected number of clicks produced in an FM discriminator.     

Adaptive Phased-Array Tracking in ECM using Negative Information

Target tracking with adaptive phased-array radars in the presence of standoff jamming presents both challenges and opportunities to the track filter designer. A measurement likelihood function is derived for this situation which accounts for the effect of both positive and negative contact information. This likelihood function is approximated a? a weighted sum of Gaussian terms consisting of both positive and negative weights, accounting for the positive and negative contact information. Additionally, recent theoretical results have been reported which have derived an accurate measurement error covariance in the vicinity of the jammer when adaptive beamforming is used by the radar to null the effects of the jammer. We compare the impact of using a likelihood function that accounts for negative contact information and the corrected measurement error covariance by comparing five Kalman filter-based trackers in five different scenarios. We show that only those track filters which use both the negative contact information and the corrected measurement error covariance are effective in maintaining track on a maneuvering target as it passes through the jamming region. This approach can also be generalized to any target tracking problem where the sensor response is anisotropic.     

基于小波包分析的航空发动机轴承故障诊断

振动分析是进行滚动轴承状态监测与故障诊断的重要手段。当轴承某一元件表面出现局部损伤时,产生周期性的冲击脉冲力。因此,原来的平稳振动信号变成了非平稳振动信号。傅里叶变换在频域上是完全局部化的,但它不能提供任何时域的局部化特征,而窗口傅立叶变换尽管在时域和频域均具有一定的局部化特征,但其局部化却是固定不变的。针对常规方法难以准确分析非平稳信号的局限性,提出了基于小波分析的滚动轴承故障诊断方法,通过滚动轴承外表面损伤的实验信号进行小波包频谱分析,验证了基于小波分析的滚动轴承故障诊断方法是可靠、准确的,可进一步应用于航空发动机主轴轴承的状态监测和故障诊断。     

An efficient 3-D near-field ISAR algorithm

This paper presents a new three-dimensional (3-D) near-field inverse synthetic aperture radar (ISAR) imaging technique. A 3-D ISAR image can be obtained by processing coherently the backscattered fields as a function of the frequency and two rotation angles about axes which are mutually orthogonal. Most of the existing ISAR algorithms are based on the Fourier transform and as such can tolerate only small amounts of wavefront curvature. Wavefront curvature must be taken into account when imaging an object in the near-field. Near-field ISAR imaging of large objects using a direct Fourier inversion may result in images which are increasingly unfocused at points which are more distant from the center of rotation. An algorithm based on an azimuth convolution between a near-field focusing function and the frequency domain backscattered fields is discussed. This convolution is efficiently implemented by using fast Fourier transform (FFT) techniques. Furthermore, in order to further alleviate the computational load of the algorithm, the discrete Fourier transform (DFT) of the focusing function is evaluated by means of the stationary phase method. Experimental results show that this technique is precise and virtually impulse invariant     

基于内禀模态高频积分能量法的煤油发动机爆震因子计算方法

提出了基于内禀模态高频积分能量法的爆震因子计算方法.该方法对电控二冲程煤油发动机缸内燃烧压力信号进行经验模态分解,自适应得到若干内禀模态函数分量与残余函数.对内禀模态函数分量采用快速傅里叶变换得到爆震高频信号分量,选取残余函数峰值对应的曲轴转角为爆震窗口起始曲轴转角,对爆震窗口宽度分析,得到合理爆震窗口宽度持续曲轴转角为30°.利用内禀模态高频积分能量法对无爆震、轻微爆震、中度爆震与强烈爆震工作循环的缸内燃烧压力信号进行爆震因子计算,得到4个工作循环的爆震因子分别为0.6642,1.8191,3.0275,5.3717,可表征爆震的强弱.研究表明基于内禀模态高频积分能量法的爆震因子计算方法简便、快速有效.      

Modified fast Fourier transform in FBMC for satellite communications

In this paper,a Doppler scaling fast Fourier transform (Doppler-FFT) algorithm for filter bank multi-carrier (FBMC) is proposed,which can efficiently eliminate the impact of the Doppler scaling in satellite communications.By introducing a Doppler scaling factor into the butterfly structure of the fast Fourier transform (FFT) algorithm,the proposed algorithm eliminates the differences between the Doppler shifts of the received subcarriers,and maintains the same order of computational complexity compared to that of the traditional FFT.In the process of using the new method,the Doppler scaling should be estimated by calculating the orbital data in advance.Thus,the inter-symbol interference (ISI) and the inter-carrier interference (ICI) can be completely eliminated,and the signal to interference and noise ratio (SINR) will not be affected.Simulation results also show that the proposed algorithm can achieve a 0.4 dB performance gain compared to the frequency domain equalization (FDE) algorithm in satellite communications.     

Total information processor for 121.5/243 MHz SARSAT signals

Search and rescue satellite-aided tracking (SARSAT) has certain shortcomings which could possibly be ameliorated by employing a more extensive signal processing strategy. The approach proposed is based on partially compensating for the Doppler shift, which then permits the data processing windows to be increased significantly. Incorporating a ranking technique with the conventional fast Fourier transform (FFT) processor and implementing an autoregressive moving-average estimator provides an optimal strategy that maximizes the probability of detecting the emergency signals