Analysis and Design Considerations of Hard Limiters for LF and VLF Navaid Receivers

Hard limiters, followed by a D-type flip-flop as a digital-signal-polarity detector, are very effective receiver/phase detectors for low frequency (LF) and very low frequency (VLF) navigation receivers. However the performance not only depends on the signal quality, but also on the specifications of the hard limiter and the flip-flop. Analysis of the tracking accuracy is given as a function of the dc offsets of the limiter and the flip-flop, the linear gain of the limiter, the signal-to-noise ratios of one or more input signals, and the power consumption of the limiter. The results are presented in formulas and graphs for application by circuit designers. A design example of a low-power, high-gain limiter is given.     

Simulation of power electronic circuits containing nonlinear inductances

Power electronic circuits which contain nonlinear inductances are described by a set of nonlinear state equations. The author presents a sampled-data model for the circuit from which a set of linear state equations can be formulated. In the sampled-data model, the nonlinear inductor is modeled by an ideal sampler, a variable gain, and a clamp. The state variables for the circuit are updated during the simulation using a three-step procedure. One step involves the solution of the linear state equations using a technique such as the state transition matrix approach. Two additional steps are employed to account for the effects of the ideal sampler, variable gain, and clamp.<>     

Spurious Target Generation Due to Hard Limiting in Pulse Compression Radars

A method is presented to calculate the output of a hard limiter if the input consists of a superposition of three phase-coded signals. A detailed investigation is made of the case where the limiter input signals are phase reversal modulated according to a maximum length linear code. It is shown in this case that a false target signal is generated at the limiter output. The amplitude distribution of the false target signal is investigated along with the distribution of the captured true target signals. A digital computer simulation confirms the theoretically predicted effects.     

An Analysis of the Performance of the Oscillating Limiter Driven by FM Signals Corrupted by Noise

The behavior of the oscillating limiter (OL) driven by FM signals is surveyed, and its performance with signal corrupted by noise is investigated. For high values of the carrier-to-noise ratio (CNR), if the frequency deviation of the signal is small in comparison with the locking range of the OL, it is calculated, and experimentally verified, that a system OL discriminator is equivalent to a system bandpass limiter discriminator followed by a linear network whose frequency response has been specified. When the frequency deviation is not so small, the baseband noise power increases with it; a formula is given that allows the calculation of this power when the signal is such that the circuit operates in quasistationary fashion. For low values of the CNR, a mathematical analysis presents unsurmountable difficulties. However, heuristic argumentation leads to an interpretation of the operation of the OL in the threshold region, which is substantiated by an experimental investigation. The results of this paper enable a comparative evaluation of a system OL discriminator and a system bandpass limiter discriminator, to which the former reduces when the feedback path in the OL is open.     

Digital Control of High Performance Aircraft Using Adaptive Estimation Techniques

Since the early 1960's, a rapid advance in signal processing, including filtering and estimation techniques, has been evident. In contrast, applied feedback control, particularly for aircraft, is currently based on technology available prior to 1960, i. e., primarily either constant gain feedback or at most a standard gain-scheduling. In this paper, an adaptive signal processing algorithm is joined with gain-scheduling to produce an effective scheme for controlling the dynamics of high performance aircraft. A technique is presented for a reduced-order model (the longitudinal dynamics) of a high performance short-takeoff-and-landing (STOL) aircraft. The actual controller views the nonlinear behavior of the aircraft as being equivalent to a randomly switching sequence of linear models taken from a preliminary piecewise-linear fit of the system nonlinearities. The adaptive nature of the estimator is necessary to select the proper sequence of linear models along the flight trajectory. From the analysis of the reduced-order model the nonlinear behavior has been found to be well approximated by assuming an effective switching of the linear models at random times, the durations of which reflect the motion of the aircraft in response to pilot commands.     

Compensators for Bandpass Nonlinearities in Satellite Communications

The characteristics of optimum compensators for bandpass non-linearities are described. A predistortion compensator to reduce the nonlinear phase and envelope distortion at the output of a traveling-wave tube (TWT) is developed, and a possible implementation as a simple network of power law devices in cascade with the input to the TWT is given. The overall compensated characteristic of the TWT approximates that of a piecewise linear limiter with a small phase shift. A computer simulation shows that the compensated system yields 0.3 to 0.5-dB improvement in performance of a 2-phase coherent phase shift keying (CPSK) system over the uncompensated system.     

Hard-Limiter Output Autocorrelation Function: Gaussian & Sinusoidal Input

An expression is derived for the autocorrelation function of the output of a hard limiter whose input is stationary Gaussian noise with zero mean plus independent random-phase sinusoidal signal. The output spectrum may then be evaluated. This spectrum is extremely useful in understanding the properties of a filter-limit-filter-detect signal processor whose signal input is an actual sinusoid, or when a sinusoid is used as a test signal.     

The Response of Hard-Limiting Bandpass Limiters to PM Signals

The signal-to-noise ratio of the output of a hard-limiting bandpass limiter to a PM signal is calculated by using the probability density function of the random phase variable. The signal-to-noise ratio transfer characteristics are plotted for comparison.     

LQG Guidance Law with Bounded Acceleration Command

A novel missile guidance law that is dependent on the conditional probability density function of the estimated states is presented. The guidance law is derived by analyzing an interception scenario in the framework of an linear quadratic Gaussian (LQG) terminal control problem with bounded acceleration command. The nonlinear saturation function is represented by the equivalent random input describing function. Since for the investigated problem the certainty equivalence property is not valid, the resulting controller depends on the measurement noise level and on the saturation limit. In comparison to the classical optimal guidance law (OGL), the maximal value of the effective navigation gain is achieved during the engagement instead of near the terminal time. Thus, the saturation limit is reached earlier so as to have enough time to reduce the guidance errors. Using Monte-Carlo simulations, the superiority of the new guidance law over the classical OGL is shown. This validates the new approach of designing an estimation statistics dependent guidance law by using a random input describing function to approximate the missile's acceleration saturation.     

Precise navigation using adaptive FIR filtering and time domainspectral estimation

This paper introduces a new low cost, short range, positioning system based on adaptive finite impulse response (FIR) filtering and time domain spectral estimation. The system can determine absolute positions with a high degree of accuracy and is well suited for real time navigation. The approach is based upon signal processing techniques and a priori knowledge of the system transfer function. The first step is to measure the phase response of the linear transfer function and then using a FIR filter the time response of the system can be determined. The FIR filter computes the time response by performing a deconvolution between the measured phase response, and the complex conjugate of the transfer function. By correlating the known input impulse response with the output of the FIR filter, an error term is generated. The time delay of the system is determined by adjusting the FIR filter coefficients to minimize the error term. Simulated analysis of the system indicates a worst case error of ±16 cm     

差动缸液压伺服系统的研究

 差动缸液压伺服系统往复运动是非对称的。本文为了补偿非对称提出了压力非线性补偿方案,不仅消除了活塞面积不对称的影响,而且消除了负载力变化的影响以及流量与输入信号的非线性影响。本文第二部分内容讨论了差动缸液压伺服系统的传递函数及简化方法,并分析了面积比等参数对系统特性的影响。     

非线性元件次谐波运动的等效线性化

本文提出一个利用谐波平衡原理将非线性元件的作用力线性化的方法。非线性元件装于多自由度系统,系统在非线性元件处的运动含有与作用于系统的外谐和力非同步的分量。文中给出等效线性力参数的表达式,它们可通过一定的迭代步骤算出。文中以装有非同心型的挤压油膜阻尼器的不平衡刚性转子的次谐波响应为例,比较了用本文的方法与用Runge-Kutta法所得的计算结果。      

基于模态综合法的含间隙折叠舵面动态特性分析

基于模态综合法对含间隙折叠舵面的非线性动态特性进行了研究。首先根据折叠舵面的结构特性建立含铰链连接的有限元模型，并采用双协调自由界面模态综合法对折叠舵面的有限元模型进行降阶。其次对不含间隙的折叠舵面进行扫频和模态实验，检验有限元模型及其降阶动力学模型的精度，并基于模型修正得到铰链的等效线性连接刚度。最后将等效线性连接刚度和间隙值进行组合，得到不同间隙下铰链的非线性连接刚度，完成含间隙折叠舵面的非线性动力学模型建立。基于非线性动力学模型对含间隙折叠舵面进行数值扫频，计算结果与实验扫频结果吻合良好，验证了所建立非线性动力学模型的精度及其在含间隙折叠舵面非线性动态特性分析中的可行性。     

The Effect of Hard Limiting in the Presence of Large Out-of-Band Interfering Signals

The effect of hard limiting on the phase of a test signal was investigated when large out-of-band interfering signals are present at the input to the limiter. First a single and then two discrete interfering signals were considered. The interfering signals and the test signal are restricted to narrow but separated bands. The test signal is recovered after limiting by narrowband filtering. The analysis of the single interfering signal is essentially the same as that performed by Cahn.1 In this correspondence experimental evidence is presented to verify the analysis and, in addition, the case of two interfering signals is considered.     

机动目标拦截末制导状态估计器的误差特性

 针对大机动目标拦截问题,分析了末制导阶段目标机动条件下状态估计器的误差特性。首先将目标机动输入未知时的状态估计器模型表示为一随机线性混合系统,当混合系统的模式跳变事件满足可观测性条件时,模式决策过程可等效为真实模式的延迟;随后推导了模式决策延迟条件下估计误差的动态方程与传递函数,并得到了一定误差要求下模式决策延迟的上界与目标机动模式逗留时间的下界;最后通过空空导弹拦截高速战机的典型实例验证了该理论分析的正确性。研究结果为设计此类线性混合系统估计器提供了理论依据。     

具有多输入和扰动作用的非线性系统的前馈/反馈线性化

 研究了具有多输入和扰动作用的非线性系统的线性化问题。对这类非线性系统,利用非线性前馈和反馈的方法,对状态空间坐标和控制输入空间坐标的变换,从而获得与之等价的可控准线性系统:z=Az+Bv+ρ(z)d。讨论了这类非线性系统前馈/反馈线性化的具体步骤,并给出了一个算例。     

采用非线性系统扩展线性化方法设计飞控系统

利用非线性系统的扩展线性化方法设计具有大迎角的非线性飞行控制系统。在系统的静态平衡点族上进行线化及调节器设计并直接积分得到非线性控制律,同时利用等效系统法验证飞行品质。整个设计过程较简便,控制律便于实现,飞机的失速迎角有较大提高,飞行品质也是令人满意的。     

A Stochastic Algorithm for Sensitivity Analysis

A direct stochastic sensitivity analysis algorithm is developed for linear dynamical systems having incompletely known input statistics. The new algorithm extends previous results by applying covariance propagation concepts which utilize as a forcing function the sensitivity covariance matrix associated with the uncertainty in the elements of the system input covariance matrix itself. The developed algorithm is evaluated in the context of a generalized sensitivity analysis formulation involving nonlinear transformations on the input signals. Numerical results are provided to demonstrate the usefulness of the new algorithm.     

基于测试数据的卡箍非线性等效建模方法

为了快速准确地计算卡箍管路系统的振动响应，提出了基于测试数据的卡箍非线性等效建模方法。对卡箍直管系统进行低幅值激励的模态测试，利用试验数据对有限元模型进行修正，识别卡箍线性刚度、线性阻尼参数。对卡箍直管系统开展不同激励水平下的恒力测试，通过样条插值多项式法将恒力频响函数转换为恒位移、恒速度频响函数，并进一步识别卡箍非线性等效刚度、非线性等效阻尼，建立了考虑卡箍非线性的等效动力学模型。研究表明:该卡箍等效动力学模型的预测频响函数与试验频响函数的最大误差仅为-6.9%，可以有效地反映卡箍实际的刚度、阻尼特性，对解决卡箍管路系统的振动响应分析具有重要的指导意义。