阵列旋转对功率倒置算法性能的影响分析

针对卫星导航抗干扰中,功率倒置算法下导航信号载噪比受干扰来波方向的影响,通过理论推导和数值计算的方法研究了天线阵列旋转与功率倒置算法抗干扰性能的关系。分析结果表明:天线阵列旋转会使功率倒置算法下的阵列增益在最大值和最小值之间呈现连续的、周期性的变化。相比固定天线阵不变的载噪比,阵列旋转能够使信号在一段时间内获得更大的载噪比,对于四阵元Y型阵列,阵列旋转理论上对载噪比的最大提升程度可以达到14dB左右。仿真结果验证了理论推导的正确性。     

The Counting Phase Detector with VLF Atmospheric Noise

The counting detector offers a simple means of making and averaging digital measurements of signal phase. However, use of the averages can lead to erroneous estimates if the signal has a low carrier-to-noise ratio. How to overcome this problem by using multiple counters is shown here. Characteristics for both Gaussian and impulsive noise are derived, and algorithms for estimating both phase and carrier-to-noise ratio are presented.     

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     

基于载噪比同步变化的北斗欺骗检测方法

欺骗干扰已经成为北斗卫星导航系统安全性的一个严重威胁。针对北斗系统面临的欺骗干扰问题,建立二元假设检验模型。由于施加单一天线发射的欺骗干扰后,当前观测频点下各高俯仰角可见星的载噪比值会产生相同的变化趋势,所以基于此变化规律提出了一种利用K-means聚类算法进行分析的北斗卫星信号欺骗干扰检测方法,并给出了施加欺骗载噪比变化域的定义。最后通过在外场搭建实验环境,对实采数据进行了实验验证。实验结果表明,本方法对于欺骗功率优势≥6 dBm的大功率优势欺骗信号的检测概率可以达到95%以上,为提高接收机抗干扰能力提供了有益参考。     

Square-Wave Correlation Phase Detector with VLF Atmospheric Noise

Correlation phase detectors often include hard limiting of both received and reference signals. The characteristics of such " square-wave" correlation detectors for both Gaussian and impluse noise are derived as functions of both phase and carrier-to-noise ratio. Decoding algorithms and accuracy are discussed.     

Effect of Fading on FM Reception with Cochannel Interference

The combined effect of cochannel interference and nonselective Rayleigh fading on the reception of analog FM signals in additive Gaussian noise is analyzed. Rice's click model for the breaking region is used. Analysis in the absence of interference is performed first and the effect of modulation on the click rate is found to be nearly negligible. For the case with cochannel interference the click rate is computed in the absence of modulation. Curves are given for detected signal-to-noise ratio (SNR) versus carrier-to-noise ratio (CNR) with signal-to-interference ratio (SIR) as a parameter and SNR versus SIR with CNR as a parameter. The results agree well with recently published results of a simulation study.     

Performance of Digital FM Systems in a Fading Environment

This paper investigates the effects of fading and predetection diversity on the error-rate performance of digital FM discriminator systems. Results are presented in graphs showing the relative improvement of the error rate for several types of diversity, and are compared with the well-known FSK systems. It is also shown that an optimum modulation index giving the minimum attainable probability of error for narrowband digital FM is not affected by the effect of fading, carrier-to-noise ratio, or the types and order of diversity.     

Combining the Effects of Rain-Induced Attenuation and Depolarization in Digital Satellite Systems

Rain depolarization causes crosstalk on a dual polarization communications link. The effects of depolarization can be expressed as a degradation of the carrier-to-noise ratio (CNR) which can then be combined with the rain-induced attenuation to yield an effective attenuation. The effective attenuation is computed for a hypothetical satellite link at 11, 14, 20, and 30 GHz. It is shown that at 20/ 30 GHz the increase in system margin required by dual polarized use is small.     

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.     

基于改进补零/差分的北斗弱信号捕获算法

北斗信号二次编码调制了速率为1kbps的NH码,频繁的比特跳变导致传统捕获算法的效果受到抑制,并且限制了积分时间的增长。为了实现北斗弱信号的捕获,提出了一种适合北斗弱信号的捕获算法,将补零算法和差分相干积分算法相结合并进行了优化设计。对补零算法和差分相干积分算法进行了改进,将差分延迟时间调整为20ms,有效消除了NH码的影响,并增加了积分时间,提高了信噪比。采用Monte Carlo仿真测试了在载噪比为20dBHz~38dBHz的条件下,此算法与传统算法的检测性能。结果表明,相比传统算法,此算法的捕获灵敏度提高了约10dB。此算法能够有效消除北斗NH码相位变化对信号捕获的影响,并提高信噪比,适用于弱信号条件下的北斗信号捕获。     

Ground-multi path mitigation via polarization steering of GPS signal

Multipath (MP) is the dominant error source in Global Positioning System (GPS) code-based position solutions requiring high accuracy. A technique is introduced here to mitigate error due to ground-reflected MP signals. The technique uses two orthogonal dipoles to capture the direct GPS signal and the ground-reflected GPS signal. Adjusting the amplitude and phase of the received voltage between the two dipoles can reduce the impact of MP error. Theoretical derivations of this technique are performed for a GPS signal upon reflection from dry soil, seawater, and fresh water. The theoretical results are verified with a real world experiment on the aforementioned surfaces. GPS pseudo-range (PR) and carrier-to-noise ratio (C/No) measurements for specific satellites are used to verify the predicted theoretical results.     

Optimum Design of Single Channel per Carrier Satellite Systems

Optimization of available satellite power and transponder bandwidth is utilized to minimize the Earth station G/T in satellite channel per carrier (SCPC) systems. The corresponding optimum transponder output backoff is obtained. Applications in system design are given. In a previous paper [1] the channel capacity of a satellite transponder handling single channel per carrier (SCPC) transmission was derived. The link carrier-to-noise (C/N) ratio was maximized over the output backoff and the maximum bandwidth available was determined. Given the bandwidth per channel for each carrier, the channel capacity was obtained. The objective of the present investigation is to derive the minimum G/T of the Earth station in SCPC systems by optimum utilization of available satellite power and transponder bandwidth. Applications in system design are discussed.     

一种低复杂度的极低信噪比高动态信号载波粗捕获算法

 针对传统的时域匹配平均周期图算法计算复杂度高的问题,对极低信噪比高动态信号的载波粗捕获算法进行了研究,提出了一种改进的带有补零的频域移位平均周期图算法。该算法采用多速率频域移位运算简化了多支路多普勒变化率匹配,与原算法相比,其计算复杂度降低倍数为匹配支路数与补零倍数之比,捕获性能几乎不损失。给出了算法中影响捕获性能与计算复杂度的关键参数设计方法。在信噪比(SNR)为－41 dB(载噪比C/N₀=18 dBHz)、载波多普勒频偏为－300～300 kHz、多普勒变化率为－800～800 Hz/s、码速率为20 bps条件下对两种算法进行了仿真,结果表明在基本满足后级载波跟踪需求条件下,即频偏精度均达±12 Hz时,多普勒变化率精度均达±25 Hz/s,捕获概率都在90%以上时,改进算法捕获时间比原算法增加了8%,计算复杂度降低了70%。     

面向低成本GNSS接收机终端的周跳修复策略

载波相位周跳是影响低成本GNSS接收机观测质量的主要因素之一.提出了一种面向低成本GNSS接收机终端的周跳修复策略,通过两种不同观测结果的联合检测以避免时钟和星历突变导致的误修复,并利用载噪比和多项式拟合误差检测载波观测中的无效观测,旨在提升低成本接收机在多径等复杂场景下载波相位观测的可用性.该策略仅使用了单频载波相位和载噪比信息,适用于各类低成本的接收设备.分别在开阔场景和多径场景下使用小米8手机和F9P接收机进行观测试验,结果表明,所有的有效载波相位观测得到了正确修复,仅约0.7％的无效观测被误修复,验证了所提策略的有效性.     

小波消噪在测试信号处理中的应用

结合某测试信号,介绍了阈值消噪的三种方法：强制阈值、默认阈值和给定阈值。通过分析不同阈值消噪后信号波形,计算消噪信号的信噪比、均方根误差和相关系数,对几种方法的准确度进行了对比。结果表明,通过合理选择小波分解的尺度,对小波系数进行阈值重构,能有效地去除信号中含有的噪声,而选用不同规则下的阈值函数或者同一阈值函数对小波系数的处理方式不同,消噪的效果会有很大差异,而阈值函数的选取,更应充分考虑信号的实际特征。     

Single Channel Per Carrier Satellite Repeater Capacity, Part 2

This paper analyzes the performance of a number of speech processing techniques that have been considered for single voice channel per carrier transmissions via satellite. This transmission mode is applicable to demand assigiment systems, which make possible the most efficient loading of the satellite transponder applications where the traffic at individual earth terminals is not sufficient to justify a substantial number of dedicated channels. The analysis basically determines the operating point for the satellite transponder which minimizes the required earth terminal G/T. Both analog and digital modulation techniques are considered, and the effects of syllabic companding and voice actuation of carriers are demonstrated. The results are presented in general analytic form, applicable to any modulation technique for which carrier-to-noise density ratio, channel width, and guardband width may be specified. Full carrier modulation is assumed. Curves are also furnished showing the required G/T and uplink per carrier EIRP as a function of the number of voice channels per transponder and the transponder gain. "CCIR/CCITT type" speech quality is assumed, together with a transponder El RP and bandwidth typical of current domestic satellite configurations.     

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.     

GPS C/N/sub 0/ estimation in the presence of interference and limited quantization levels

The carrier-to-noise density ratio (C/N₀) is considered an important parameter describing the GPS receiver performance. This paper compares the performance of two popular coarse-acquisition (C/A) C/N₀ algorithms appearing in literature: the variance summing method (VSM) (Psiaki et al., 2003, Psiaki, 2001), and the power ratio method (PRM) (Van Dierendonck, 1996, Sayre, 2003), in terms of their estimates in 1) additive white Gaussian noise (AWGN), 2) narrowband continuous wave interference (CWI), 3) their response to quantization and saturation effects, and their 4) dynamic range. The algorithms were implemented as a part of a software receiver. Two LI GPS data sets are examined; one was obtained from a GPS raw data collection setup, while the other was obtained from a GPS signal simulator. The collected set was stored with almost constant C/N₀ level while the simulated one contained variable C/N₀ levels. The effect of adding AWGN on the C/N₀ estimate was directly proportional with the noise power. The C/N₀ estimates suffered more when the CWI frequency was closer to the IF of the receiver. The PRM suffered from saturation at higher C/N₀ levels. The VSM showed good tracking at high C/N₀ levels and better immunity to limited quantization levels, while its C/N₀ estimate suffered from rapid fluctuations in power levels when sudden power steps occurred     

Output of a Balanced Frequency Discriminator Driven by a Sine Wave and Gaussian Noise

The output of a realizable balanced frequency discriminator is calculated for an input consisting of a sine wave plus Gaussian noise. Explicit autocorrelation and power spectra are found for one practical embodiment of the discriminator for various input carrier-to-noise ratios, with the carrier tuned to center frequency and also off-center. The formulas also permit the calculation of the output for the case of a spectrum of noise slowly swept through the discriminator. Although qualitatively similar to results previously obtained with an ideal discriminator, substantial differences are also found. Measurements are made that closely verified the theoretical results. No limiting is assumed.