This paper presents a novel approach of M-ary baseband pulse amplitude modulated signal processing via a parameter-optimized nonlinear dynamic system. This nonlinear system usually shows the phenomenon of stochastic r...This paper presents a novel approach of M-ary baseband pulse amplitude modulated signal processing via a parameter-optimized nonlinear dynamic system. This nonlinear system usually shows the phenomenon of stochastic resonance by adding noise. To thoroughly discuss the signal processing performance of the nonlinear system, we tune the system parameters to obtain a nonlinear detector with optimal performance. For characterizing the output of the nonlinear system, the derivation of the probability of detection error is given by the system response speed and the probability density function of the nonlinear system output. By varying the noise intensity with fixed system parameters, the phenomenon of stochastic resonance is shown and by tuning the system parameters with fixed noise, the probability of detection error is minimized and the nonlinear system is optimized. The detection performance of the two cases is compared with the theoretical probability of detection error, which is validated by numerical simulation.展开更多
在铁磁管道环境下,同频窄带噪声中的微弱瞬态极低频信号的估计与检测问题是管道机器人跟踪定位中最为重要的科学问题之一。为实现窄带噪声中的微弱瞬态信号的有效检测,分析了接收线圈在不同空间姿态下的信号特点,针对信号与窄带噪声相...在铁磁管道环境下,同频窄带噪声中的微弱瞬态极低频信号的估计与检测问题是管道机器人跟踪定位中最为重要的科学问题之一。为实现窄带噪声中的微弱瞬态信号的有效检测,分析了接收线圈在不同空间姿态下的信号特点,针对信号与窄带噪声相位上的区别以及信号包络的形态,建立了相位反相的双峰指数函数数学模型;应用非线性最小二乘估计,实现了该数学模型和真实信号之间的拟合;通过仿真和实验验证了该数学模型与真实信号的高度匹配性,并应用蒙特卡洛仿真分析了该模型参数估计的性能;使用所建立的数学模型,构建了平均功率检测器和瞬时最大功率检测器,通过分析比较极低频发射机在不同移动速度和接收信噪比条件下的检测性能,得出了两种检测器的特点和适用范围,并指出在现有工程背景下平均功率检测器的优势。实验证明,相位反相信息对同频窄带噪声中的信号检测非常重要,平均功率检测器在低信噪比条件下的检测性能良好。在信噪比为0.05 d B、虚警概率设为1%时,该检测器的检测概率达98.8%。展开更多
A semi-empirical detector response function （DRF） model of Si （PIN） detector is proposed to fit element Kα and Kβ X-ray spectra, which is based on statistical distribution analytic （SDA） method. The model for ...A semi-empirical detector response function （DRF） model of Si （PIN） detector is proposed to fit element Kα and Kβ X-ray spectra, which is based on statistical distribution analytic （SDA） method. The model for each single peak contains a step function, a Gaussian function and an exponential tail function. Parameters in the model are obtained by weighted nonlinear least-squares fitting method. In the application, six kinds of elements＇ characteristic X-ray spectra are obtained by Si （PIN） detector, and fitted out by the established DRF model. Reduced chi-square values are at the interval of 1.11-1.25. Other applications of the method are also discussed.展开更多
The analysis of stability and numerical simulation of Costas loop circuits for the high-frequency signals is a challenging task. The problem lies in the fact that it is necessary to observe very fast time scale of inp...The analysis of stability and numerical simulation of Costas loop circuits for the high-frequency signals is a challenging task. The problem lies in the fact that it is necessary to observe very fast time scale of input signals and slow time scale of signal s phases simultaneously. To overcome this difficulty, it is possible to follow the classical ideas of Gardner and Viterbi to construct a mathematical model of Costas loop, in which only slow time change of signal s phases and frequencies is considered. Such an construction, in turn,requires the computation of phase detector characteristic, depending on the waveforms of the considered signals. In this paper, the problems of nonlinear analysis of Costas loops and the approaches to the simulation of the classical Costas loop, the quadrature phase shift keying(QPSK) Costas loop, and the two-phase Costas loop are discussed. The analytical method for the computation of phase detector characteristics of Costas loops is described.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No 60702022)
文摘This paper presents a novel approach of M-ary baseband pulse amplitude modulated signal processing via a parameter-optimized nonlinear dynamic system. This nonlinear system usually shows the phenomenon of stochastic resonance by adding noise. To thoroughly discuss the signal processing performance of the nonlinear system, we tune the system parameters to obtain a nonlinear detector with optimal performance. For characterizing the output of the nonlinear system, the derivation of the probability of detection error is given by the system response speed and the probability density function of the nonlinear system output. By varying the noise intensity with fixed system parameters, the phenomenon of stochastic resonance is shown and by tuning the system parameters with fixed noise, the probability of detection error is minimized and the nonlinear system is optimized. The detection performance of the two cases is compared with the theoretical probability of detection error, which is validated by numerical simulation.
文摘在铁磁管道环境下,同频窄带噪声中的微弱瞬态极低频信号的估计与检测问题是管道机器人跟踪定位中最为重要的科学问题之一。为实现窄带噪声中的微弱瞬态信号的有效检测,分析了接收线圈在不同空间姿态下的信号特点,针对信号与窄带噪声相位上的区别以及信号包络的形态,建立了相位反相的双峰指数函数数学模型;应用非线性最小二乘估计,实现了该数学模型和真实信号之间的拟合;通过仿真和实验验证了该数学模型与真实信号的高度匹配性,并应用蒙特卡洛仿真分析了该模型参数估计的性能;使用所建立的数学模型,构建了平均功率检测器和瞬时最大功率检测器,通过分析比较极低频发射机在不同移动速度和接收信噪比条件下的检测性能,得出了两种检测器的特点和适用范围,并指出在现有工程背景下平均功率检测器的优势。实验证明,相位反相信息对同频窄带噪声中的信号检测非常重要,平均功率检测器在低信噪比条件下的检测性能良好。在信噪比为0.05 d B、虚警概率设为1%时,该检测器的检测概率达98.8%。
基金Supported by National Natural Science Foundation of China(40974065, 41025015)Scientific and Technological Innovative Team in Sichuan Province(2011JTD0013)"863" Program of China(2012AA063501)
文摘A semi-empirical detector response function （DRF） model of Si （PIN） detector is proposed to fit element Kα and Kβ X-ray spectra, which is based on statistical distribution analytic （SDA） method. The model for each single peak contains a step function, a Gaussian function and an exponential tail function. Parameters in the model are obtained by weighted nonlinear least-squares fitting method. In the application, six kinds of elements＇ characteristic X-ray spectra are obtained by Si （PIN） detector, and fitted out by the established DRF model. Reduced chi-square values are at the interval of 1.11-1.25. Other applications of the method are also discussed.
基金supported by Academy of Finland,Russian Ministryof Education and Science(Federal Target Program)Russian Foundation for Basic Research and Saint-Petersburg State University
文摘The analysis of stability and numerical simulation of Costas loop circuits for the high-frequency signals is a challenging task. The problem lies in the fact that it is necessary to observe very fast time scale of input signals and slow time scale of signal s phases simultaneously. To overcome this difficulty, it is possible to follow the classical ideas of Gardner and Viterbi to construct a mathematical model of Costas loop, in which only slow time change of signal s phases and frequencies is considered. Such an construction, in turn,requires the computation of phase detector characteristic, depending on the waveforms of the considered signals. In this paper, the problems of nonlinear analysis of Costas loops and the approaches to the simulation of the classical Costas loop, the quadrature phase shift keying(QPSK) Costas loop, and the two-phase Costas loop are discussed. The analytical method for the computation of phase detector characteristics of Costas loops is described.
