非局域线性研究“Snyder-Mitchell”模型研究

研究了“Snyder-Mitchell”模型的建立过程，发现模型中光束的相位被误用为非线性相位，将其改为线性相位后重建该模型。得到了只要利用光学材料的非线性特性就可证明原模型仍然成立的重要结论。     

振荡器时变相位噪声分析技术研究进展

介绍了两种射频振荡器的时变相位噪声模型:Demir&Mehrotra的非线性扰动模型和Hajimiri&Lee的时变相位噪声模型。对一个简单的非线性电导LC振荡器,分别建立了这两种模型,并指出了两种模型的联系和区别。讨论了两种模型的计算方法,介绍了在EDA软件HSpice和SpectreRF下,以及频域中相位噪声的计算问题。最后,进一步讨论了时变相位噪声,指出相位噪声分析的难点和未来的发展方向。     

投影仪标定中的相位误差补偿

为了减小由投影仪-摄像机γ非线性引起的红蓝棋盘格标定板相位误差,分析了非线性相位误差的产生原因和表现特征,建立了非线性相位误差和相位主值之间的数学模型,由该模型得到相位误差补偿矩阵并修正展开相位;同时采用MATLAB仿真并结合相关试验对该算法进行了验证。结果表明,误差补偿后棋盘格平面展开相位的均方根误差从0.0836rad下降到0.0218rad;由γ非线性引起的棋盘格角点在标靶图像中像素坐标的最大误差值约从补偿前的0.3pixel降低到0.1pixel。该方法有效减小了由投影仪-摄像机γ非线性引起相位误差,提高了标靶图像的角点坐标精度。     

基于Saleh函数的RF功率放大器正交非线性带通模型

提出了一种基于Saleh函数的RF功率放大器正交非线性带通模型。通过将RF功率放大器的幅度、相位非线性失真转换为两个不存在相位失真而只有幅度失真的正交并行信道,并用Saleh函数对两正交信道的幅度失真进行了逼近,与基于Taylor级数的RF功率放大器正交非线性带通模型相比较,新模型具有更好的逼近精度。     

一种新型非线性PLL模型及其在毫米波集成防撞雷达中的应用

提出了一种新的非线性PLL用于VCO的非线性补偿,利用声表面波延迟线来实现延时混频,并将混频后的中频信号锁定PLL结构,深入分析了这种PLL的环路相位模型,使用Agilent ADS软件对锁相环路进行了仿真,验证了所提出的环路相位模型的准确性,所有的理论推导和仿真结果表明,建立的PLL环路相位模型可以用来实现防撞雷达中VCO(电压控制振荡器)的线性化,准确可靠,利于雷达系统的集成化和高精度。     

四元数和超复数在二维二次非线性相位耦合分析中的应用

针对二维二次非线性相位耦合分析中的分维配对问题,本文首先对一般二维谐波信号模型进行变换,构造了符合四元数结构的新的信号模型.接着讨论了Hamilton四元数、三维超复数及"新四元数"在估计二维谐波频率中的可能性.最后根据上述模型利用特殊的三阶累积量切片分析了加性高斯有色噪声中二维二次非线性相位耦合及联合Hamilton四元数和超复数在二维二次非线性相位耦合中的应用前景.此方法避免了在复数模型的二维二次非线性相位耦合分析中构造复杂的增广矩阵,并从根本上解决了通过分维求取频率之后,频率配对中所有可能产生的错误频率对,以及有可能产生的两维频率估计精度的不平衡性.仿真实验验证了本文的理论.     

缓冲器输出端相位噪声模型分析

相位噪声是振荡器的重要性能指标。近年来,研究人员在振荡器相位噪声表征方面已经做了大量的工作,在这些过程中开发出了很多不同类型的振荡器相位噪声模型。但是在这些模型中,都没有分析缓冲器噪声对振荡器相位噪声的影响。而在研究课题中,首先要对缓冲器噪声的功率谱密度函数进行数学建模,并易于将这个模型嵌入到相位噪声的非线性扰动分析模型,这样就得到了含有缓冲器噪声的振荡器相位噪声模型。     

一种改进的差分环型振荡器相位噪声模型

在Razavi模型和Weigandt模型的基础上,提出了一种改进的差分环型振荡器相位噪声模型.新模型考虑了环振非线性对相位噪声的影响,从新的角度讨论了相位噪声的三种发生机制和影响,讨论了闪烁噪声的优化方法,得到了新的相位噪声模型,并依此着重分析了对管尺寸和环振级数对相位噪声的影响.最后,分析了低噪声设计的一些原则.采用CSM 0.35μm工艺进行了流片验证,模型与测试结果能够很好地吻合.     

一种改进的差分环型振荡器相位噪声模型

在Razavi模型和Weigandt模型的基础上,提出了一种改进的差分环型振荡器相位噪声模型.新模型考虑了环振非线性对相位噪声的影响,从新的角度讨论了相位噪声的三种发生机制和影响,讨论了闪烁噪声的优化方法,得到了新的相位噪声模型,并依此着重分析了对管尺寸和环振级数对相位噪声的影响.最后,分析了低噪声设计的一些原则.采用CSM0.35μm工艺进行了流片验证,模型与测试结果能够很好地吻合     

微波功率放大器非线性特性分析

为判断微波功率放大器非线性失真的主要影响因素,首先,在传统幂级数模型的基础上对功率放大器的非线性幅度失真和相位失真进行拟合,基于包络分析法给出了功率放大器非线性失真与幅度和相位失真间的解析关系;其次,对幅度失真和相位失真引起的非线性失真进行了分析,给出了两者之间的等效失真关系式,据此可对任意给定的功率放大器进行分析,以确定非线性失真的主要影响因素,并用于指导模拟预失真线性化器的设计与调试;最后,通过对一Ka频段行波管放大器的非线性测试及模拟预失真线性化,验证了所提出的功率放大器非线性分析的正确性及幅相等效失真关系式的有效性。     

Analysis of nonlinear optical switching in an erbium-doped fiber

A mathematical model of the strong, resonantly enhanced nonlinear phase shift recently reported in Er-doped fibers which relates the phase shift and signal loss to the fiber parameters and the pump and signal wavelengths, is presented. Predictions are in fair agreement with the phase shift and loss measured in an experimental Er-doped fiber switch based on this effect. A strong, nearly wavelength independent contribution to the nonlinear phase shift is observed in the switch. The model suggests that this effect is due to the same nonlinear effect arising from one or more vacuum ultraviolet (VUV) transitions in Er³⁺     

掺铒光纤放大器的非线性色散效应

给出一种模型来考虑非线性色散对光通信系统的影响。数值结果表明 ,考虑非线性色散时 ,光脉冲的传播速度比不考虑非线性色散时的传播速度要快 ,而脉冲展宽是一样的     

Nonlinear space charge wave theory of distortion in a Klystron

We present a new view of nonlinear distortion in a klystron based on an analytically solvable nonlinear Eulerian model. The nonlinear contributions to the analytic solutions for the beam modulations are "nonlinear space charge waves" in the sense that they are produced by the nonlinear mixing of the linear space charge waves. For a single-frequency input, amplitude and phase distortion are shown to be results of "self-intermodulation" at the drive frequency, or mixing of harmonic distortions with the fundamental. The self-intermodulation contributions add out of phase with the linear space charge waves to produce gain compression and phase distortion. By comparing the results to a conventional large-signal Lagrangian model we find this physical picture is accurate for drive levels up to 1.2 dB of gain compression. For a two-frequency input we predict the third-order intermodulation distortion generation and suppression with the nonlinear space charge wave theory.     

Numerical calculation of Z-scan measurements for nonlinear media with large phase shift

We have reported the characteristics of a Z-scan for the poly(azaneylylidene-acylene)(DAZA) polymer, as nonlinear medium with a large nonlinear phase shift using continuous-wave(CW) laser beam. It has been verified that the Fresnel diffraction model is applicable for analyses of Z-scan measurements with DAZA polymer at high laser power. It was found that Z-scan curves with peak-to-valley features appear as the applied light intensity increases in the case of a large nonlinear phase shift. The Z-...     

Phase-Locked Loops with Limiter Phase Detectors in the Presence of Noise

A nonlinear mathematical model of phase-locked loops with limiter phase detectors in the presence of noise is presented. The model, which is an extension of the well-known baseband model of loops with sinusoidal phase detectors without limiters, incorporates a modified nonlinear phase detector characteristic, the form of which is changed if the input carrier-to-noise ratio alters, as well as a modified phase noise as an input to the model. Both the modified phase detector characteristic and the spectral density of the modified noise term are calculated specifically for sinusoidal, triangular, and sawtooth types of limiter phase detectors, allowing the application of various methods to determine the loop noise performance. As an example, the phase error variance of a first-order phase-locked loop is calculated, thereby showing a strong dependence on the specific phase detector realization.     

卫星接收机非线性故障建模与仿真

非线性效应导致接收机设备故障以及性能降级一直是卫星通信系统面临的重要挑战。针对这一问题，本文提出了一种基于行为模型的接收机非线性故障分析方法。首先推导分析滤波器内反射干扰在幅频响应上的表现形式，以此构建滤波器故障描述模型。其次利用幅相转换关系对Saleh模型系数进行修正，建立表征放大器在过饱和点下不同程度的非线性故障模型。然后针对相位噪声相关性对振荡器频率稳定性的影响，利用一阶自回归模型表征在不同相关性相位噪声下，振荡器内存在的非线性故障。最后将滤波器、功率放大器和振荡器的故障模型级联，建立接收机射频前端整体的非线性故障模型，并通过星座图、功率谱以及电路仿真三方面对模型进行仿真分析和验证。实验结果表明，本文建立的故障行为模型能有效表征接收机射频前端存在的非线性故障。      

Analysis of Nonlinear Phase Noise in Coherent Fiber-Optic Systems Based on Phase Shift Keying

Analytical expressions for the phase variance in a nonlinear fiber optic system based on phase-shift keying are developed. The Gauss-Hermite functions are used as the orthogonal basis to represent the noise field. Number of degrees of freedom (DOF) to accurately model the phase variance is estimated. The amplifier noise excites higher order Gauss-Hermite noise modes and the nonlinear mixing of a signal pulse and higher order Gauss-Hermite noise mode leads to new noise fields which enhance the nonlinear phase noise. The higher order noise modes propagate linearly and enhance the linear phase noise if the matched filter is not used at the receiver. Analytical expression for the optimum launch power is developed taking into account the linear and nonlinear phase noise.