


Том 69, № 8 (2024)
Articles
Congratulations to the anniversary



К 90-ЛЕТИЮ М.С. ЯРЛЫКОВА
Errors of quasi-optimal algorithms with feedbacks on discrete parameters for receiving and processing BOC signals in advanced global navigation satellite systems
Аннотация
An assessment of the potential accuracy and noise immunity of quasi-optimal algorithms for receiving and processing noise-like signals, in particular BOC signals, designed for use in global navigation satellite systems such as GPS (USA), Galileo (EU), GLONASS (Russia) and BeiDou (China), synthesized on the basis of Markov estimation theory using a method with feedback on discrete parameters, was carried out. Analytical relationships for the variance of the quasi-optimal error of the estimated random phase and the probability of erroneous reception of the discrete parameter of the received BOC signals are obtained. The results of calculating the accuracy characteristics of these parameters are presented. The corresponding graphs are constructed.



Analysis of the phase structure of a signal with linear frequency modulation when processed in high-resolution radars
Аннотация
The main stages of receiving and processing a linear frequency modulation (LFM) signal reflected from a point moving target are considered. When calculating the phase components of the received LFM signal, the principle of time scale transformation is used, which manifests itself in the mutual movement of the target and the radar station (radar) with pulsed radiation. At all stages of processing the LFM signal, including frequency transfer, quadrature demodulation (selection of the complex envelope of the signal) and matched filtering, the amplitude and phase functions of the signal are determined, allowing coherent processing of a batch of radio pulses. The analysis of the phase structure of the LFM signal is carried out, as a result of which the main phase components are determined, which are taken into account during interperiod signal processing in high-resolution radar.



Determination of anomalic measurements of pseudo-range to a navigation space vehicle in equipment for receiving signals of a satellite radionavigation system
Аннотация
For equipment for receiving signals from a satellite radio navigation system, using the Markov theory of estimating random processes, optimal and quasi-optimal algorithms for processing information at the output of the tracking system for determining the pseudo-range to a navigation spacecraft have been synthesized. The novelty of the developed algorithms is the ability to detect anomalous pseudo-range measurements occurring at the output of the tracking system. Based on the synthesized algorithms, a block diagram has been developed that makes it possible to determine anomalous pseudorange measurements.



Spatial-temporal Markov models in estimation-correlation-compensation signal processing in discrete time
Аннотация
An algorithm for spatial-temporal signal processing in discrete time is obtained. The estimation-correlation and estimation-correlation-compensation options for constructing optimal algorithms are considered, which also makes it possible to generalize to non-Markov signals and interferences. It is shown that in order to implement the obtained algorithms, it is necessary to use extrapolation one-step estimates of the signal and interference. It is established that the interference compensator is part of the optimal estimation-correlation-compensation algorithm. The application of the proposed approach makes it possible to obtain a variety of quasi-optimal algorithms for signal detection and parameter estimation. The resulting structures are convenient for implementation in digital form by hardware and software. A spatial-temporal estimation-correlation algorithm for processing the atmospheric signal has been obtained, which allows estimating the distance to a thunderstorm discharge taking into account the height of the observation point. The influence of the number of field components on the measurement error of the distance to the lightning discharge is investigated. To improve the accuracy of distance determination, it is proposed to use a three-component field model.



Aviation radio-electronic control systems. A conceptual approach to optimization
Аннотация
Based on the analysis of the features of military-technical confrontation, the requirements for ways to optimize the control laws and their information support in the application to electronic interception systems of aircraft are formulated. Based on the results of the analysis of the features of the functioning of radio-electronic control systems of this type, recommendations are given on the choice of a mathematical apparatus for synthesizing the laws of trajectory control that are optimal for minimizing the quadratic-biquadrate quality functional using an adaptive analog-discrete filtering option for information support.



Synthesis of an algorithm for complex tracking-recognition of aerodynamic targets
Аннотация
It is shown that the solution to the problem of ensuring stable and high-precision tracking of aero-dynamic targets of various classes can be obtained by synthesizing an algorithm for their complex tracking and recognition, taking into account their characteristic features based on the results of observation by heterogeneous information sources. A set of interrelated algorithms has been developed, including an algorithm for complex adaptive filtering of the phase coordinates of the observed target, conditional on its dynamic and signal signs obtained from observations of a set of sources; an algorithm for recognizing the class of the observed target based on the results of evaluating the values of its dynamic and signal signs, as well as the conditions for evaluating phase coordinates.



Optimal discrete interpolation with constant delay of samples of a discrete-continuous Markov process against a background of correlated Markov noise
Аннотация
The problem of synthesizing optimal and quasi-optimal algorithms for interpolation with constant delay of samples of continuous components of a vector discrete-continuous Markov random process is solved using the methods of the Markov theory of estimation of random processes, taking into account the known statistical characteristics of additive Markov correlated noise. The method of difference measurements was used in the synthesis of algorithms. The structural diagram of the quasi-optimal digital filter is given. A simple example using the method of simulation modeling shows the performance of the quasi-optimal algorithm in statistically uncertain situations when guiding the control object to a maneuvering air target.



Complex processing of global navigation satelite system signals and 5G positioning modules for the purpose of navigation support for unmanned aerial vehicle flights in the conditions of mass development of modern megacities
Аннотация
An approach to the construction of on-board consumer equipment for global navigation satellite systems as part of the on-board equipment of unmanned aerial vehicles (UAVs) is considered. The analysis of the features of the navigation support of UAVs in the process of implementing various scenarios of their application is carried out. The Markov theory of optimal estimation of random processes has been used to obtain algorithms for complex signal processing of a satellite radio navigation system and a 5G positioning module for the case of structurally separate processing of radio signals. A block diagram of the system is presented, a characteristic feature of which is the absence of cross-links between the channels of radio signal processing.



Evaluation of the interference protection efficiency of an adaptive antenna array under the action of two-point coherent interference
Аннотация
The noise immunity of the adaptive antenna array (AAA) under the action of two-point incoherent and coherent noise interference (NI) was compared by the value of the interference reduction factor. On the example of navigation AAA it is shown that the attenuation levels of two-point coherent noise interference by the results of AAA adaptation are much lower than incoherent noise interference.



Adaptation of detection thresholds based on the results of multi-frame accumulation radar signals against the background of non-gaussian noise
Аннотация
An algorithm for stabilizing the false alarm rate is proposed, based on the approximation of the probability distribution density of the decisive statistics counts during multi-frame accumulation against the background of noise described by the Rayleigh and Weibull distributions. It is shown that the proposed algorithm for stabilizing the false alarm rate is adaptive and invariant to the noise distribution law.



To the calculation of dispersion characteristics of a shielded microstrip line
Аннотация
Simple formulas are proposed that make it possible to calculate the dispersion characteristics of a microstrip line quickly and with high enough accuracy. The analytical expressions from which the deceleration coefficient and the wave resistance of the line are determined are presented in the form of rapidly converging series. The error in calculating the dispersion characteristics in a wide range of changes in the geometric and physical parameters of the line is investigated. The values of the parameters at which the error does not exceed 1% are determined.



Mathematical expected value of errors in simulation of noise of angular coordinates of a distributed radar object replaced by a two-point geometric model
Аннотация
The replacement of a distributed radar object by a simple two-point matrix simulator is considered. In this case, the distributed object is replaced by a model composed of two points. It is shown that this leads to modeling errors, expressed in a change in the mathematical expected value of angular coordinate noise. Relationships have been obtained that allow, firstly, to estimate these errors and, secondly, to set the spacing of model points at which their acceptable level is guaranteed.



Recognition of marine objects in thermal imaging surveillance and sighting systems of aircraft
Аннотация
The problem of object recognition based on information from measurements of their geometric features in images of optoelectronic systems is considered. The probabilistic characteristics of the measurements are known. A recognition algorithm has been developed using the theory of systems with a random discontinuous structure [1] and the method of two-stage parametric approximation of distributions [2]. The approximation of the predicted probability density by the beta distribution law is applied. The results of the calculation of the algorithm based on the information of the sequence of images obtained in full-scale registrations are presented.


