Code acquisition for DS/SS communications in non-Gaussian impulsive channels

In this letter, we propose a new detector for code acquisition systems in non-Gaussian noise channels. Modeling the acquisition problem as a hypothesis testing problem, a detector is derived for non-Gaussian, symmetric /spl alpha/-stable noise, based on the locally optimum detection technique. Numerical results show that the proposed detector can offer robustness and substantial performance improvement over the conventional schemes in non-Gaussian channels.     

乘性噪声环境下基于局部最佳检测器的伪码捕获方法

扩频系统常常工作在多径环境中,伴随着加性噪声的同时往往还存在着乘性噪声。该文提出了一种乘性噪声环境下伪码捕获方法,将伪码捕获等价为假设检验问题,利用局部最佳检测算法推导出乘性噪声环境下的伪码捕获检测统计量,文中给出了基于局部最佳检测算法的捕获结构,并与传统的平方和检测器进行了性能仿真对比,结果表明该文所提出的捕获方法在乘性噪声环境下检测性能较平方和检测器有较大幅度的提高,而在无乘性噪声的环境下检测性能只较传统的平方和检测器检测性能稍有降低。     

乘性噪声环境下基于符号秩统计量的非参伪码捕获方法

扩频系统常常工作在多径环境中,伴随着加性噪声的同时往往还存在着乘性噪声.该文提出了一种乘性噪声环境下基于符号秩统计量的非参伪码捕获方法,将伪码捕获等价为假设检验问题,利用局部最佳检测算法推导出了乘性噪声环境下基于符号秩的检测统计量,通过简化记分函数进一步给出了局部次佳秩检测器.将局部次佳秩检测器与局部最佳检测器和平方和检测器的性能进行了仿真对比,结果表明该文所提出的捕获方法在乘性噪声环境下检测性能接近于乘性噪声环境下的局部最佳检测器,而较平方和检测器则有较大幅度的提高.     

弱相关非高斯环境下基于局部最佳检测器的伪码捕获方法

该文为解决弱相关非高斯噪声环境下的伪码捕获问题,提出了一种基于局部最佳检测算法的伪码捕获方法,将伪码捕获等价为假设检验问题,将弱相关非高斯噪声建模为一阶滑动平均SS噪声模型,利用局部最佳检测算法推导出弱相关非高斯噪声环境下的伪码捕获检测统计量,在此基础上对检测统计量进行了简化,给出了其实现结构,并与传统的伪码捕获方法进行了性能仿真对比,仿真结果表明该文所提出的捕获方法在弱相关非高斯噪声环境下检测性能有较大幅度的提高,且非高斯噪声脉冲特性越明显,所设计的检测器优势越明显。     

Cumulant-based method for bearing estimation in the presence ofnonGaussian noise

Bearing estimation algorithms based on the cumulants of array data have been developed to suppress additive spatially correlated Gaussian noises. In practice, however, the noises encountered in signal processing environments are often non-Gaussian, and the applications of those cumulant-based algorithms designed for Gaussian noise to non-Gaussian environments may severely degrade the estimation performance. The authors propose a new cumulant-based method to solve this problem. This approach is based on the fourth-order cumulants of the array data transformed by DFT, and relies on the statistical central limit theorem to show that the fourth-order cumulants of the additive non-Gaussian noises approach zero in each DFT cell. Simulation results are presented to demonstrate that the proposed method can effectively estimate the bearings in both Gaussian and non-Gaussian noise environments     

Adaptive frequency estimation of sinusoidal signals in colored non-Gaussian noises

This paper studies the problem of sinusoidal frequency estimation in colored non-Gaussian ARMA noises. A new adaptive approach is proposed by using the second-and third-order statistics of the measurements. Because of the simultaneous establishment of the signal and noise models, the new approach is applicable for tracking the frequencies at each time instant for stationary and nonstationary signal and/or noise cases. The effectiveness of the new approach is demonstrated by extensive computer simulations. As expected, the approach proposed in this paper outperforms the correlation-based approaches in suppressing the effects of the colored non-Gaussian ARMA noises.     

一种分数低阶局部最优目标检测方法

:针对传统局部最优检测器在显著非高斯杂波背景下导致检测性能下降的问题,该文提出一种分数低阶局部最优雷达目标检测方法。首先对局部最优检测器的模型进行简化,在此基础上,根据分数低阶统计量理论,利用分数低阶相关矩阵描述杂波的相关特征,并以分数低阶二次型作为局部最优检测器的权值,改善了显著非高斯杂波背景下的雷达目标检测性能。利用仿真数据和IPIX雷达数据进行实验分析,结果表明,针对显著的非高斯杂波背景下的弱目标信号,相对于传统的局部最优检测方法,该文方法的检测性能显著提高。     

非高斯相关噪声中高斯信号的时延估计

高阶统计量在信号处理中成功的应用例子之一是估计高斯相关噪声中非高斯信号的时延参数.本文则研究非高斯相关噪声中高斯信号的时延估计问题,提出了一种解决该问题的混合方法.该方法先计算观测值的三阶累积量,然后利用累积投影公式计算观测噪声的二阶统计量,最后利用互相关方法确定信号时延参数.仿真结果验证了该方法的有效性.     

PN code acquisition using signed-rank-based non-parametric detector in a multiplicative noise model

Multiplicative noise is known to be useful in modelling an environment that is difficult to describe with an additive noise model. In this article, signed-rank-based non-parametric detectors are used for pseudonoise (PN) code acquisition in multiplicative noise. First, a locally optimum (LO) detector based on the signs and ranks of observations is derived, and then the locally suboptimum rank (LSR) detector is proposed by using approximate score functions. The finite sample-size performance of the LSR detector is considered. Numerical results show that the LSR detector asymptotically has almost the same performance as the LO detector for multiplicative noise.     

Multiuser detection in impulsive channels

The present paper deals with the problem of data detection in direct-sequence code-division multiple-access (CDMA) systems with non-Gaussian ambient noise. This issue arises in pratical situations because many physical channels in which multiple-access communications is applied are known to be decidedly non-Gaussian, due largely to impulsive phenomena. (Such channels include urban and indoor radio channels, and underwater acoustic-modem channels). The optimum multiuser detector for the additive noise channel model is derived, and several suboptimal multiuser detectors are proposed. Moreover, for performance comparison purposes the robust multiuser detector, recently proposed in the literature, is also considered.     

Multichannel detection for correlated non-Gaussian random processesbased on innovations

The paper addresses the problem of multichannel signal detection in additive correlated non-Gaussian noise using the innovations approach. Although this problem has been addressed extensively for the case of additive Gaussian noise, the corresponding problem for the non-Gaussian case has received limited attention. This is due to the fact that there is no unique specification for the joint probability density function (PDF) of N correlated non-Gaussian random variables. The authors overcome this problem by using the theory of spherically invariant random processes (SIRPs) and derive the innovations-based detector. It is found that the optimal estimators for obtaining the innovations, processes are linear and that the resulting detector is canonical for the class of PDFs arising from SIRPs. The authors also present a performance analysis of the innovations-based detector for the case of a K-distributed SIRP     

Nonparametric multiuser detection in non-Gaussian channels

Existing multiuser detection techniques in wireless systems are based on the assumption that some information on the parameters of the probability density function (pdf) of ambient noise is available. Such information may not be available in all cases, particularly for non-Gaussian and impulsive noises, or may change depending on circumstances. In this paper, we present a technique for multiuser detection that does not require any a priori knowledge about the noise parameters. This method is based on using pseudo norms for linear nonparametric regression. Analytical and simulation results show that the proposed method offers an improved, or at least comparable, performance over existing robust techniques in the absence of any information on the nature of noise in the environment. The increased computational complexity is marginal compared to existing parametric detectors. In addition, the proposed nonparametric detector is portable in the sense that it does not need to be tuned for different noise models without any considerable degradation of performance. We also show that in non-Gaussian noise, the performance of blind adaptive nonparametric multiuser detectors is better than that of robust multiuser detectors.     

基于三阶累积量的多径时延估计

研究多径传输条件下的时延估计问题。利用三阶累积量的一维切片作为高阶统计量,结合相关算法原理,提出一种新的时延估计算法。为提高时延估计精度,对相关数据进行了加权处理。该算法可有效抑制空间相关高斯噪声或对称分布噪声,得到非高斯信号准确的时延估计。算法具有计算量小,易于实现的优点。仿真结果表明了该算法的有效性。     

随机幅度多项式相位信号的时延估计方法

研究了一类非平稳信号具有随机幅度的多项式相位信号的时延估计问题。充分利用信号的高阶循环平稳性，提出了一种基于信号高阶循环矩的时延估计方法。该方法容易实现，估计精度能有效地抑制加性平稳非高斯和任何高斯噪声。试验结果证明了提出方法的正确性。     

Detection of multiplicative noise in stationary random processesusing second- and higher order statistics

This paper addresses the problem of detecting the presence of colored multiplicative noise, when the information process can be modeled as a parametric ARMA process. For the case of zero-mean multiplicative noise, a cumulant based suboptimal detector is studied. This detector tests the nullity of a specific cumulant slice. A second detector is developed when the multiplicative noise is nonzero mean. This detector consists of filtering the data by an estimated AR filter. Cumulants of the residual data are then shown to be well suited to the detection problem. Theoretical expressions for the asymptotic probability of detection are given. Simulation-derived finite-sample ROC curves are shown for different sets of model parameters     

Time delay estimation with unknown spatially correlated Gaussiannoise

The problem of estimating the difference in arrival times of a non-Gaussian signal at two spatially separated sensors is considered. The signal is assumed to be corrupted by spatially correlated Gaussian noises of unknown cross-correlation. The author proposes and analyzes two new classes of methods for time delay estimation based on higher order statistics. The proposed methods are conceptually very similar to the traditional cross-correlation-based techniques in that the proposed criteria peak at a lag value equalizing true delay. Since the proposed methods are based upon higher order cumulant statistics of the data, they result in estimators that remain unbiased in the presence of Gaussian noise     

非高斯背景下基于Sigmoid函数的信号检测

针对非高斯背景下的弱信号检测问题,该文提出一种基于Sigmoid函数的信号检测(SFD)方法。首先依据混合高斯模型对非高斯背景建模,在此基础上系统研究了参数k与SFD的检测性能以及检测特性的关系,确定了k的最佳的取值,并指出SFD在检测性能达到最优的同时也具有恒虚警特性。其次通过固定k值得到了一种新的非参量检测方法,较传统的匹配滤波性能有明显提升。最后进行仿真分析验证了SFD的有效性和优越性。     

Memoryless discrete-time signal detection in long-range dependent noise

The problem of designing optimum memoryless detectors for known signals in long-range dependent (LRD) noise is considered. In particular, under the performance criterion of asymptotic relative efficiency (ARE), optimum memoryless detection in LRD noise is investigated by exploiting the Hermite expansions. The detectors considered have the form of a nonlinearity followed by an accumulator and threshold comparator. It is shown that when the noise is LRD and Gaussian, all nonlinearities with Hermite rank one are asymptotically equivalent in terms of efficiency and are most powerful. Moreover, the optimum nonlinearities with Hermite rank greater than one are given by the corresponding Hermite polynomials. The case of non-Gaussian LRD noise that can be derived by nonlinear transformation of Gaussian noise is also considered. In this case, the globally optimum nonlinearity is very difficult to obtain in general. Instead, we proposed a suboptimal nonlinearity, which is given by a linear combination of the corresponding locally optimum detector and the inverse of the transform function generating the noise. Simulations show that the proposed detector outperforms the locally optimal detector for LRD non-Gaussian noise.     

宽带非高斯信号波达方向的估计方法

本文提出了一种解决宽带非高斯相干信号波达方向估计的新方法，这种方法是采用阵列频域数据四阶累积量的新颖思想，通过将各频段的四阶累积量聚焦到同一参考频段下来实现的，它不仅能获得高斯噪声环境下非高斯宽频相干信号的高分辨率方向估计，同时，对于非高斯噪声环境也具很好的估计性能，且不需要有关噪声的原始分布的先验知识，文中还通过计算机仿真实验该方法进行了性能分析，验证了方法的有效性。