The Detection of Moderately-Fluctuating Rayleigh Targets

Pulse train detection of fluctuating targets whose coherence time is long compared to the time between pulses and short compared to the pulse train duration is compared for two systems: (1) a recursive digital optimal receiver operating in conjunction with a coherent pulse train transmitter, and (2) a good (but not optimal) receiver operating with a block coherent frequency-hopping transmitter. The equivalence of this type of problem to noise-in-noise detection problems is demonstrated, the performance relations for both systems are derived and comparisons are made.     

Radar Detection of Correlated Targets in Clutter

This paper provides general models of radar echoes from a target. The rationale of the approach is to consider the echoes as the output of a linear dynamic system driven by white Gaussian noise (WGN). Two models can be conceived to generate N target returns: samples generated as a batch, or sequentially generated one by one. The models allow the accommodation of any correlation between pulses and nonstationary behavior of the target. The problem of deriving the optimum receiver structure is next considered. The theory of "estimator-correlator" receiver is applied to the case of a Gaussian-distributed time-correlated target embedded in clutter and thermal noise. Two equivalent detection schemes are obtained (i. e., the batch detector and the recursive detector) which are related to the above mentioned procedures of generating radar echoes. A combined analytic-numeric method has been conceived to obtain a set of original detection curves related to operational cases of interest. Finally, an adaptive implementation of the proposed processor is suggested, especially with reference to the problem of on-line estimation of the clutter covariance matrix and of the CFAR threshold. In both cases detection loss due to adaptation has been evaluated by means of a Monte Carlo simulation approach. In summary, the original contributions of the paper lie in the mathematical formulation of a powerful model for radar echoes and in the derivation of a large set of detection curves.     

Maximum-Likelihood Detection of Unresolved Radar Targets and Multipath

Interference in the form of multipath or uncooperative targets can seriously degrade the angle-of-arrival estimation accuracy of mutiplebeam processors. In this paper, the generalized likelihood ratio test is used to derive a test to detect the presence of interference for multiple beam processors. The detector performance is then analyzed in detail with respect to its dependence on signal-to-noise ratio (SNR), signal-to-interference ration (SIR), and on the relative phase between the target and interfering signals. It is shown that good detection performance can be obtained unless the phase difference between the target and interference signals is either in or out of phase.     

A Detection Algorithm for Optical Targets in Clutter

There is active interest in the development of algorithms for detecting weak stationary optical and IR targets in a heavy opticalclutter background. Often only poor detectability of low signal-to-noise ratio (SNR) targets is achieved when the direct correlation method is used. In many cases, this is partly obviated by using detection with correlated reference scenes [1, 2].This paper uses the experimentally justified assumption that most optical clutter can be modeled as a whitened Gaussian randomprocess with a rapidly space-varying mean and a more slowlyvarying covariance [2]. With this assumption, a new constant falsealarm rate (CFAR) detector is developed as an application of the classical generalized maximum likelihood ratio test of Neyman and Pearson. The final CFAR test is a dimensionless ratio. This test exhibits the desirable property that its probability of a false alarm(PFA) is independent of the covariance matrix of the actual noiseencountered. When the underlying noise processes are complex intime, similar considerations can yield a sidelobe canceler CFARdetection criterion for radar and communications. Performance analyses based on the probability of detection (PD)versus signal-to-noise ratio for several given fixed false alarm probabilities are presented. Finally these performance curves are validated by computer simulations of the detection process which use real image data with artificially implanted signals.     

Exact Detection Probability for Partially Correlated Rayleigh Targets

The detection probability PD of a radar receiver which postdetection integrates N pulses of an expqnentially correlated signal from a Rayleigh target in thermal noise is determined. At the limiting correlation coefficients, p = 1 and p = 0, the analysis yields, respectively, the well known Swerling case 1 and case 2 formulas. The effect of partial (0 ? p ? 1) correlation is exhibited in a set of curves of PD versus signal-to-noise ratio, X, for various N and p. Additional curves compare the exact fluctuation loss determined from the above analysis with an approximate expression universally employed by radar system engineers.     

On the Statistical Representation of Targets for Detection Studies

Statistical distribution functions were determined ined for the radar cross section for flying aircraft. Most distributions could be adequately represented by one or another member of the family of chi-square functions. The degree of freedom parameter varied widely.     

Detection of Slow Fluctuating Targets with Frequency Diversity Channels

In this paper an exact closed-form expression for the radar detection probability is derived and results are plotted for a frequency diversity radar receiver. The receiver model performs post-detection integration on all received pulses in all diversity channels. The target model assumed is the slow fluctuating Rayleigh-distributed (Swerling case I target) scatterer. Each of the M frequency diverse channels receives N amplitude-correlated returns to give a total of NM post square-law detection integrations. The tabulated data falls between the two extreme cases, that for which all the returns are amplitude-correlated and that for which each return is independent. The plotted results fall close to the figures obtained through simple empirical relationships.     

Sonar Array Detection of Gaussian Signals in Gaussian Noise of Unknown Power

A statistical test is postulated for detecting, with an M-element hydrophone array, a Gaussian signal in spatially independent Gaussian noise of unknown power. The test is an extension of the uniformly-most-powerful (UMP) unbiased test for a two-element array. The output signal-to-noise ratio of the test is calculated and, for a large number of independent space-time samples, is shown to be no better than a mean-level detector (MLD). Receiver operating characteristic curves (ROC) for the MLD are computed and compared to the ROC curves for the optimum (Bayes) parametric detector. The input signal-to-noise power ratios required to provide a detection probability of 0.5 differ by less than 0.2 dB for a fifty-element array with wide variation in false-alarm probability and time-bandwidth product. This result suggests that both the extended bivariate UMP unbiased test and the MLD perform close to the unknown UMP unbiased test for independence of a multivariate Gaussian distribution.     

Bayesian Quickest Signal Detection in a Discrete-Time Observation

This paper deals with the problem of quickest detection of a signal in discrete-time observations where the noise is not necessarily additive. By introducing a new cost function, penalizing the decision delay, in addition to penalizing wrong decisions as in the classical case, a global risk function is derived for use in a Bayesian framework. The minimization of the average risk leads to the optimum Bayesian decision regions, giving the structure of the optimum receiver. Some simplifications for elementary costs and some applications are investigated. The optimum receiver is shown to be a parallel bank of classical optimum filters, each one matched to a particular delay of the signal to be detected. Our approach is shown to apply to the detection of certain changes in a stochastic process.     

Detection Statistics for Laser Radar in Atmospheric Turbulence with Fluctuating Targets

The probability of detection and false-alarm rates are developed for laser radar systems perturbed by background radiation, fluctuating targets, and atmospheric turbulence. In particular, some results on the decibel loss due to atmospheric turbulence are presented.     

EDM电磁信号法放电位置检测中传感器系统的设计

针对在电火花加工放电位置检测仪中传感器系统设计方面存在霍尔传感器输出的原始信号幅值微弱的问题,采用将霍尔传感器嵌入在长方体铁氧体材料中组成传感器系统的方法,使原始微弱信号幅值增大了1000倍。     

基于装配定位点的导管数字化检测方法研究

针对现有导管检测基准与装配基准不统一的问题,根据导管装配实际需求,以导管的3个安装点作为基准进行导管外形数字化检测,将导管外形偏差分解为轴向偏差、径向偏差、角度偏差,与导管安装对缝间隙、角度偏差直接对应,减少了导管检测过程中误判现象的发生,实现导管外形偏差数据的精确描述,为产品质量的持续改进、数据统计分析提供支持。     

EDM电磁信号法放电位置检测一维薄壁模型仿真

从理论分析入手，阐述了电火花加工 (EDM)中电磁信号法放电位置检测的基本原理。结合电路理论、电磁场理论及传感器的原理，建立了一维放电位置与霍尔效应传感器输出之间的理论关系，并在此基础上进行了数值仿真。     

Range Resolution of Targets

The problem of resolving targets in range is formulated as a hypothesis-testing problem. A generalized likelihood approach is developed and very good results are obtained, e. g., targets separated by more than a pulsewidth can almost always be resolved, Specifically, simulations showed that when using a sampling rate of 1.5 samples per pulsewidth, two 20 dB nonfluctuating targets can be resolved at a resolution probability of 0.9 and at a false-alarm probability of 0.01 at separations varying between ? and ? of a pulsewidth, depending on the relative phase difference between the targets. The effect of increasing the sampling rate was investigated and it appears that there is only marginal benefit in increasing the sampling rate beyond 1.5 samples per pulsewidth. Finally, the generalized likelihood approach was compared to several easily implemented adhoc approaches and an adhoc approach involving fitting a pulse shape to the data is only slightly (approximately 10%) less accurate than the likelihood approach.     

The Geometry of Escaping Targets

The escape regions for alerted targets are analytically defined.Sets of circles which circumscribe these regions provide simplified meas of the resulting escape involutes and yield important weapon guidance and sensor search parameters. These regions permit the selection of an aimpoint which incorporates the potential of target maneuers. Applications that illustrate the improved performance of these solutions in missile deployment and lost-contact-redetect situations are included.