On the Acquisition Behavior of Binary Delay-Lock Loops

The acquisition problem for binary delay-lock loops is re-examined. Previous results obtained by Spilker and Gill on the maximum allowable search rate are shown to be in error. New results are given for the 2-? loop with video correlation and the 1-? loop with video and envelope correlation.     

A Delay-Lock Loop for Tracking Pulsed-Envelope Signals

A sampled-data delay-lock loop (SDDLL) which tracks the arrival time of a biphase modulated, pulsed-envelope RF signal is described. A pseudo-noise (PN) code generator is used as the modulation source as in conventional delay-lock loop tracking devices. Time base shifting of the loop's local clock is performed by digital means. The technique permits the use of a stable-frequency clock to maintain accurate timing between timing correction instants. An expression is derived for the standard deviation of the timing error due to additive Gaussian noise at the SDDLL input. Experimental results are then given which include the effects of control-system quantization error on timing jitter. Assuming that the errors due to input noise and quantized timing corrections are independent and additive, the theoretical and experimental results agree to within approximately one decibel.     

Analysis of a Dithering Loop for PN Code Tracking

The tracking performance of a dithering loop in the presence of white Gaussian noise is analyzed and compared to the performance of a delay-lock loop. Performance curves are presented.     

基于UKF准开环结构的高动态载波跟踪环路

 对高动态环境下的全球卫星导航系统（GNSS）载波信号跟踪方法进行了研究。在分析高动态载波信号模型的基础上,提出了一种基于无迹卡尔曼滤波（UKF）的准开环载波跟踪方法。此方法能够消除导航数据二进制相移键控(BPSK)调制的影响,并采用四维UKF相位估计模型提高跟踪精度,同时对估计值进行补偿以减少滤波器的滞后性。通过模拟接收机的高动态运动轨迹,从跟踪误差、跟踪结果和补偿效果3个方面,与基于卡尔曼滤波（KF）的锁频环(FLL)辅助锁相环(PLL)结构的传统跟踪方法进行比较,结果表明基于UKF的准开环跟踪方法能够有效地完成高动态环境下的载波跟踪。     

Frequency Tracking Characteristics of Split-Loop Phase-Locked Receivers

The excess time delay introduced by the incorporation of the intermediate frequency (IF) stage within the phase-locked loop (PLL) causes serious deterioration in the acquisition and tracking performance of the loop. The split-loop phase-locked system suggested by McGeehan and Sladen considerably reduces the effect of time delay on the acquisition and tracking performance of the loop. The frequency acquisition characteristics of the split-loop phase-locked receiver is investigated, and the effect of possible asymmetry in the arms of the loop on the acquisition range is examined. Closed-form approximate formulas are derived, and a comparison between split-, long-, and short-loop acquisition performance is presented.     

Multiple Signal Analysis for the Delay-Lock Discriminator

This correspondence deals with the effect of multiple signals on the control voltage of the delay-lock discriminator (tracker). Given n returned signals with known delay and power, a formula for the tracker estimate is derived. The analysis has specific application to low-altitude altimeters where the leak signal from the transmitter to the receiver may have delay comparable to the delay of the true signal.     

高动态下惯性加速度辅助三阶锁相环性能分析

针对高阶跟踪环路稳定性比低阶环路差,大带宽带来测量误差大的问题。研究在高动态环境下,惯导加速度信息辅助卫星接收机三阶载波锁相环跟踪算法,以及不同环路参数下跟踪环路的性能。对载体高动态场景、加速度信息延迟进行建模,并对算法进行了数学仿真。仿真分析结果表明,在加速度信息辅助下,即使压缩载波跟踪环路等效噪声带宽到3Hz,在高达1200g/s的加速度动态下,环路跟踪同样稳定可靠。     

A method of obtaining signal components of residual carrier signalwith their power content and computer simulation

An algorithm for obtaining all signal components of a residual carrier signal with any number of channels is presented. The phase modulation type may be NRZ-L or split phase (Manchester). The algorithm also provides an easy way of obtaining the power contents of the signal components. Steps to recognize the signal components that influence the carrier tracking loop and the data tracking loop at the receiver are given. A computer program for numerical computation is also given     

Analysis of Squaring Circuit Mechanizations in Costas and Squaring Loops

Two different implementations of the carrier recovery loop for suppressed carrier binary phase-shift keyed (BPSK) signals are considered. In particular, the tracking performance of the squaring loop in which the squaring circuit is mechanized by a limiter/multiplier lier combination to produce the absolute value of the incoming signal, followed by appropriate bandpass filtering, is compared with that of the usual squaring loop whose squaring circuit is the timestwo wo multiplier which exhibits a square law characteristic.     

Codes cross-correlation analysis and data/pilot code pairs optimization for Galileo E1 OS and GPS L1C

The Galileo E1 open service (OS) and the global positioning system (GPS) L1C are intending to use the multiplexed binary offset carrier (MBOC) modulation in E1/L1 band, including both pilot and data components. The impact of data and pilot codes cross-correlation on the distortion of the discriminator function (i.e., the S-curve) is investigated, when only the pilot (or data) components of MBOC signals are tracked. It is shown that the modulation schemes and the receiver configuration (e.g., the correlator spacing) strongly affect the S-curve bias. In this paper, two methods are proposed to optimize the data/pilot code pairs of Galileo E1 OS and GPS L1C. The optimization goal is to obtain the minimum average S-curve bias when tracking only the pilot components a the specific correlator spacing. Figures of merit, such as S-curve bias, correlation loss and code tracking variance have been adopted for analyzing and comparing the un-optimized and optimized code pairs. Simulation results show that the optimized data/pilot code pairs could significantly mitigate the intra-channel codes cross-correlation, and then improve the code tracking performance of MBOC signals.     

Double Dither Loop for Pseudonoise Code Tracking

A new type of phase detector for pseudonoise code tracking is introduced and analyzed in comparison with the delay lock loop (DLL) and tau-dither loop (TDL) configurations. It is shown that the double dither loop (DDL) combines the best features of the DLL and the TDL in that the DDL is insensitive to gain and offset imbalances and does not suffer the 3-dB degradation in noise performance typically associated with the TDL. The double dither concept is applicable to other dual channel detectors such as in a Costas-type carrier tracking loop.     

Probability Density Function at the Output of the Delay-Lock Discriminator

The first-order probability density at the output of the correlation network of the delay-lock discriminator is determined using the methods developed by Arthur, Kac, and Siegert. The analysis assumes that the input signal is stationary and Gaussian and that the discriminator is locked on. No restrictions are made on the bandpass filter characteristics in the channels.     

Synchronization failure rates in master-slave synchronizedphase-locked loops

A method for the computation of synchronization failure rates in master-slave phase-synchronized first-order phase-locked loops (PLLs) is presented. The method assumes (propagation) delay times that are long compared with tracking loop time constants and allows system optimizations of the slaved PLL in terms of improved tracking performance. Frequency turnaround ratios of phase-coherent transponders are considered, and effects of the converted transponder phase jitter on the tracking performance of the slaved PLL are discussed     

Modeling and analysis for the GPS pseudo-range observable

In this paper, a digital system for the Global Positioning System (GPS) pseudo-range observable is modeled and analyzed theoretically. The observable is measured in a GPS receiver by accurately tracking the pseudorandom noise (PRN) code phase of the input GPS signal using a digital energy detector and a digital delay lock loop (DDLL). The following issues are presented: (1) mathematical modeling of the digital PRN code acquisition and tracking system, (2) the closed-form expression derivation for the detection and false-alarm probabilities of the acquisition process and for the variance of code phase tracking error, and (3) the linear and nonlinear performance analysis of the DDLL for optimizing the receiver structures and parameters with tradeoff between the tracking errors due to receiver dynamics and due to input noise     

一种基于数据跳变检测的高动态环境GPS信号参数估计方法

鉴于高动态环境中 Ｇ Ｐ Ｓ信号参数估计和调制数据跳变检测所遇到的问题,采用扩展卡尔曼滤波方法（ Ｅ Ｋ Ｆ）对信号参数进行了估计,分析了通过载波辅助技术实现伪码延时估计的原理,重点研究了一种简单的数据跳变检测和估计参数修正方法。模拟结果表明这种方法在信号参数估计精度和动态跟踪性能等方面都能够满足高动态环境的要求。     

Analysis of an all-digital data-transition tracking loop

An all-digital implementation of the data-transition tracking loop (DTTL) is proposed and analyzed. The input waveform is assumed to be nonreturn-to-zero (NRZ)-coded binary signals. The mathematical analysis of the loop is reduced to the study of a Markov chain which allows the derivation of expressions for the mean square phase error, steady-state probabilities, transient behavior (time to acquire and time to bit slippage), and bit error rate (BER). Theoretical results have been validated using a computer simulation of the loop. The all-digital implementation can take full advantage of advanced technology in memory and processing speeds     

STAP for GPS receiver synchronization

A space-time adaptive processing (STAP) algorithm for delay tracking and acquisition of the GPS signature sequence with interference rejection capability is developed. The interference can consist of both broadband and narrowband jammers, and is mitigated in two steps. The narrowband jammers are modelled as vector autoregressive (VAR) processes and rejected by temporal whitening. The spatial ing is implicitly achieved by estimating a sample covariance matrix and feeding its inverse into the extended Kalman filter (EKF). The EKF estimates of the code delay and the fading channel are used for a t-test for acquisition detection. Computer simulations demonstrate robust performance of the algorithm in severe jamming, and also show that the algorithm outperforms the conventional delay-locked loop (DLL).     

扩频应答机码跟踪环的一种实现方法

讨论了一种伪随机码跟踪环的特性，分析了码相关间隔、预检积分时间、环路带宽及信噪比等参数对码跟踪性能的影响。该方案不仅能够对PN码相位的变化作出调整，同时对PN码多普勒进行跟踪，较适合于测控应答机中PN码跟踪环的应用。     

H∞ output tracking control for flight control systems with time-varying delay

For flight control systems with time-varying delay, an H∞ output tracking controller is proposed. The controller is designed for the discrete-time state-space model of general aircraft to reduce the effects of uncertainties of the mathematical model, external disturbances, and bounded time-varying delay. It is assumed that the feedback-control loop is closed by the communication network, and the network-based control architecture induces time-delays in the feedback information. Suppose that the time delay has both an upper bound and a lower bound. By using the Lyapu- nov-Krasovskii function and the linear matrix inequality （LMI）, the delay-dependent stability criterion is derived for the time-delay system. Based on the criterion, a state-feedback H∞ output tracking controller for systems with norm-bounded uncertainties and time-varying delay is presented. The control scheme is applied to the high incidence research model （HIRM）, which shows the effectiveness of the proposed approach.     

Stability analysis of direct-detection cooperative optical beamtracking

The system under consideration is a cooperative spatial tracking system between two stations for laser beam communications, using a quadrant photodetector at each station. After determining the equilibrium points of the cooperative system for the case of periodical relative motion, the authors concentrate on the stability of the transient behavior around the equilibrium points for the case of uniform angular relative motion. This case corresponds to an assumption that the steady-state motion is slow with respect to transient phenomena, and is applicable to currently foreseen intersatellite and deep-space optical communications. The analysis is aimed at determining the combined effect of the basic system parameters, such as propagation delay time, tracking loop gains, DC servomotors time constant, and point-ahead velocity error, on the stability and the transient behavior of the overall tracking system. The stability conditions and the transient response around the steady-state trajectory provide a tool for evaluating the consistency of the design parameters for a given propagation delay