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。     

Low C/N_0 Carrier Tracking Loop Based on Optimal Estimation Algorithm in GPS Software Receivers

Suppressing jitter noises in a phase locked loop(PLL) is of great importance in order to keep precise and continuous track of global positioning system(GPS) signals characterized by low carrier-to-noise ratio(C/N0).This article proposes and analyzes an improved Kalman-filter-based PLL to process weak carrier signals in GPS software receivers.After reviewing the optimal-bandwidth-based traditional second-order PLL,a Kalman-filter-based estimation algorithm is implemented for the new PLL by decorrelating the model error noises and the measurement noises.Finally,the efficiency of this new Kalman-filter-based PLL is verified by experimental data.Compared to the traditional second-order PLL,this new PLL is in position to make correct estimation of the carrier phase differences and Doppler shifts with less overshoots and noise disturbances and keeps an effective check on the disturbances out of jitter noises in PLL.The results show that during processing normal signals,this improved PLL reduces the standard deviation from 0.010 69 cycle to 0.007 63 cycle,and for weak signal processing,the phase jitter range and the Doppler shifts can be controlled within ±17° and ±5Hz as against ±25° and ±15 Hz by the traditional PLL.     

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     

Analysis of interference effects on monopulse radars

The complete numerical analysis of angle-tracking performance of a coherent amplitude-comparison monopulse radar system in a two-target situation is described. This system, equipped with automatic gain control (AGC) and phase-locked loop (PLL), was originally invented for improving the target-tracking performance in multiple-target situation. The general behavior depends on Doppler separation of the targets relative to the bandwidths of AGC and PLL. The performance of this system has previously been roughly analyzed by using linear approximation for four extreme cases: wideband and narrowband AGC in combination with wideband and narrowband PLL. In this study, the author performs nonlinear analysis of the same system for all bandwidths of AGC and PLL, because Doppler separation varies over a wide range in actual tracker, and therefore it is indispensable to know the total system behavior. A special numerical technique called the Galerkin method is used. As a result of this analysis, the extensive target-tracking performance for all intermediate bandwidths of AGC and PLL has been clarified. The result is useful for actual target tracker design     

一种高动态低信噪比下载波快速捕获跟踪方法

针对高动态、低信噪比的接收信号,首先对整个多普勒频率范围进行分段,并在每一段内利用本地产生的带有多普勒频率变化率的复信号来抵消接收信号中多普勒频率变化率的影响,然后在每一段内利用FFT（FastFourierTransform,快速傅里叶变换）进行载波频率并行捕获,从而同时完成载波多普勒频率及其变化率的初步估计。利用载波多普勒频率及其变化率估计信息辅助锁频环快速入锁,进而利用锁频环辅助三阶锁相环完成载波信号的锁频锁相跟踪。使用这种方法,可以快速获取信号的多普勒频率及其变化率信息,并且在极短时间内完成载波的稳定跟踪,使接收设备具备快速捕获跟踪大动态弱信号的能力。     

Digital accumulators in phase and frequency tracking loops

Results on the effects of digital accumulators in phase and frequency tracking loops are presented. Digital accumulators or summers are used extensively in digital signal processing to perform averaging or to reduce processing rates to acceptable levels. For tracking the Doppler of high-dynamic targets at low carrier-to-noise ratios, it is shown through simulation and experiment that digital accumulators can contribute an additional loss in operating threshold. This loss was not considered in any previous study and needs to be accounted for in performance prediction analysis. Simulation and measurement results are used to characterize the loss due to the digital summers for three different tracking loops: a digital phase-locked loop, a cross-product automatic frequency tracking loop, and an extended Kalman filter. The tracking algorithms are compared with respect to their frequency error performance and their ability to maintain lock during severe maneuvers at various carrier-to-noise ratios. It is shown that failure to account for the effect of accumulators can result in an inaccurate performance prediction, the extent of which depends highly on the algorithm used     

Transient Frequency-Error Statistics in Acquisition of Noiseless First-Order Phase Lock Loop

After a certain time interval from the appearance of a reference signal in a synchronizing system employing a first-order phase lock loop (PLL), the probability that the output frequency error will be higher than a maximum tolerated value is determined. The system is assumed to be noise free.     

Phase-Lock Loop Jump Phenomenon in the Presence of Two Signals

Jump phenomena are known to exist in many non-linear systems [I], [2], [3]. The non-linear analysis presented in this paper explains and predicts the conditions for the jump phenomenon that is observed in a phase-locked loop (PLL) preceded by an automatic gain control (AGC). The jump phenomenon occurs when the frequency separation AM of two sinusoids at the input to the AGC is greater than the bandwidth B of the linearized PLL. If the loop is initially locked to the stronger signal, the weaker signal will frequency-modulate the PLL voltage-controlled oscillator (VCO) with a modulation frequency AI. The amplitude S2 of the weaker signal al can be increased until it becomes greater than the amplitude Si of the signal being tracked, without causing the loop to lose lock; i. e., the VCO continues to track the original signal. However, if the ratio of the amplitudes S2 S1 = R is increased above some critical value RC > 1, the loop will lose lock on the original signal, and jump to track the interfering signal. If the frequency separation is at least twice the PLL bandwidth, a good approximation for this critical ratio is Rc ? ?w/B.     

一种基于参数控制的低轨星载接收机载波跟踪算法CSCD

低轨星座接收机面临大多普勒频移及频繁快速换星等设计约束,对其载波跟踪环路设计提出了较高的动态适应性与跟踪精度要求。针对以上问题,提出了一种基于参数控制的载波跟踪算法。该算法引入环路控制因子参数,将环路滤波器分为牵引和跟踪两阶段。基于理论建模推导环路控制因子的最优参数配置原则,指导实现牵引和跟踪两种状态滤波器的协同配合,在牵引阶段有效引导大多普勒信号快速入锁,在跟踪阶段精确估计载波频移参数,实现基于低轨星载平台的GNSS信号快速准确跟踪。理论与仿真结果均表明基于参数控制的载波跟踪算法能够有效提升环路的动态适应性与跟踪精度,满足低轨星载接收机的设计需求。与传统算法相比,该算法在保证信号跟踪精度的同时,能够将收敛时间缩短78%,且环路设计简单,易于硬件实现。     

单载波干扰对星载扩频应答机码跟踪回路影响研究

扩频码同步是基于扩频体制卫星测控通信中的一项关键技术。研究单载波对星载扩频应答机中全时间超前-滞后非相干跟踪回路的影响,分析单载波干扰存在时跟踪抖动的恶化程度,给出相应的数学表达式,并进行了Matlab仿真。仿真结果表明：在一定的跟踪回路带宽下,恶化程度随着系统的扩频增益或频偏的增加而减小,并随着干信比的增加而增加。单载波干扰不变的前提下,恶化程度随着回路带宽的增加而增加。     

DTFT-based frequency lock loop for GNSS applications

A frequency lock loop (FLL) for Global Navigation Satellite System (GNSS) applications is described here. The core element is the discrete time Fourier transform (DTFT), that leads to a maximum likelihood (ML) frequency estimation and can be conveniently implemented in a software defined radio (SDR) HW platform. The algorithm is based on the iterative evaluation of DTFTs in a single frequency until the incoming frequency is locked.     

随机共振锁频环路影响因素

针对随机共振锁频环路影响因素不够明朗的问题，在对随机共振锁频环路仿真验证的基础上，重点对信噪比、采样频率和系统参数对环路性能的影响进行了探究。首先，阐述了随机共振锁频环路基本原理，搭建了随机共振锁频环路模拟仿真平台。其次，通过设定不同的信噪比、采样频率和系统参数条件，观察随机共振锁频环路性能变化。最后，总结归纳出各条件对随机共振锁频环路的影响。仿真结果表明，信噪比越低，随机共振锁频环路对信号跟踪性能越差，且最低能够处理信噪比为Eb/N0=1dB的信号。采样频率在高于信号频率50倍时，提高采样频率虽可提高计算精度，但对环路跟踪性能改善作用不大。系统参数是决定随机共振效应能否发生及影响共振效果的关键因素，其表现为一个可供选择的数值区间。     

Lock threshold deterioration induced by antenna vibration and signal coupling effects in hypersonic vehicle carrier tracking system of Ka band

The envelope of a hypersonic vehicle is affected by severe fluctuating pressure, which causes the airborne antenna to vibrate slightly. This vibration mixes with the transmitted signals and thus introduces additional multiplicative phase noise. Antenna vibration and signal coupling effects as well as their influence on the lock threshold of the hypersonic vehicle carrier tracking system of the Ka band are investigated in this study. A vibration model is initially established to obtain phase noise in consideration of the inherent relationship between vibration displacement and electromagnetic wavelength. An analytical model of the Phase-Locked Loop(PLL), which is widely used in carrier tracking systems, is established. The coupling effects on carrier tracking performance are investigated and quantitatively analyzed by imposing the multiplicative phase noise on the PLL model. Simulation results show that the phase noise presents a Gaussian distribution and is similar to vibration displacement variation. A large standard deviation in vibration displacement exerts a significant effect on the lock threshold. A critical standard deviation is observed in the PLL of Binary Phase Shift Keying(BPSK) and Quadrature Phase Shift Keying(QPSK) signals. The effect on QPSK signals is more severe than that on BPSK signals. The maximum tolerable standard deviations normalized by the wavelength of the carrier are 0.04 and 0.02 for BPSK and QPSK signals,respectively. With these critical standard deviations, lock thresholds are increased from à12 andà4 d B to 3 and à2 d B, respectively.     

A high dynamics algorithm based on steepest ascent method for GNSS receiver

High dynamic conditions impose critical challenges on Global Navigation Satellite System (GNSS) receivers, leading to large tracking errors or even loss of tracking. Current methods that intend to improve receivers’ adaptability for high dynamics require either complicated structures or prior statistical information of noises. This paper proposes a high dynamics algorithm based on steepest ascent method that can circumvent the deficiencies of existing methods. First, the relationship between the error of carrier tracking and the maximum of Fast Fourier Transform (FFT) outputs is established, and a performance function based on the steepest ascent method is designed. It can keep stable in high dynamics. Second, a new carrier-tracking loop is constructed by deploying the performance function. When the variation of GPS receiver acceleration ranges from 10 g to 100 g, compared with the PLL that either loses lock or keeps tracking accuracy less than 33.89 Hz, the experimental results show that the proposed method can not only keep tracking, but also achieve tracking accuracy more than 2.77 Hz.     

A Semi-Empirical Approach to the PLL Threshold

This correspondence considers the response of the PLL near threshold to an input consisting of a modulated carrier and white, Gaussian noise. For high input signal-to-noise power ratios ?, the output noise power is Gaussian with a parabolic spectrum. As ? is decreased, the PLL tends to lose lock which gives rise to impulses or ?spikes? in the output with a resulting white power spectrum. The additional output noise due to these ?spikes? causes a threshold in the output signal-to-noise ratio. Unfortunately the loss of lock rate in the PLL depends on the modulation as well as the noise power. A semiempirical approximate expression for the loss of lock rate as a function of the noise and sinusoidal frequency modulation is presented and is used to determine the optimum design procedure for PLL's to demodulate FM signals of varying modulation indexes, ?.     

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.     

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。     

基于锁相环的光电振荡器频率稳定化研究

通过构建小数分频锁相环,将一个工作于X波段的OEO(OptoElectronic Oscillator,光电振荡器)与OCXO(Oven-Controlled Crystal Oscillator,恒温晶体振荡器)进行锁相,得到了输出信号相位噪声和长期频率稳定度的提升。从PLL(Phase-Locked Loop,锁相环)环路传输特性出发,理论分析了PLL输出信号环路带宽内相位噪声水平和作用范围。为降低OEO整体的相位噪声,采用SIL(Self-Injection-Locking,自注入锁定)使OEO在10Hz~10kHz频偏处的相位噪声得到20dB以上的抑制。在此基础上将此SIL OEO与一个频率为100 MHz的OCXO锁相,获得了频率为9.95GHz、相位噪声为-55dBc/Hz@10Hz和-124dBc/Hz@10kHz的微波信号输出,其频率的重叠阿伦方差在100s平均时间内达到1.14×10~(-11),证明了提出的方案对提升OEO频率稳定性具有一定的实际意义。     

高码率导航电文引起的跟踪环路失锁及其解决方法

卫星信号的多普勒频移会引起导航数据跳变点在1ms中频采样数据中的相对位置发生滑动,当跳变点处于采样数据段的中间位置时,相关器输出接近于零,造成环路失锁。本文在详细分析这一问题的基础上,针对“北斗II”信号提出了一种改进的环路跟踪方法。新方法通过在连续的两段1ms数据中找出不包含数据位跳变点的数据段,将该段数据的鉴相结果用于2ms环路更新。仿真和GNSS模拟器的实验验证了该方法的有效性。     

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.