Abstract
The issues of ensuring the stability of delay tracking in synchronization systems of radio engineering systems when receiving phase-shift keyed signals with spectrum expansion based on pseudorandom sequences are considered. When working with moving objects, the delay of the received signal continuously changes, synchronization errors occur, and the quality of signal reception largely depends on the stability of the tracking scheme for the delay, characterized by the probability of tracking failure. Delay tracking is usually considered as the main task of the synchronization system of the considered radio systems with phase-manipulated signals with spectrum expansion based on pseudo-random sequences.
 The effect of synchronization errors when tracking the delay of a received phase-shift keyed signal with a spectrum extension based on pseudorandom sequences on the probability of tracking failure is studied. The calculation method is used to obtain families of dependences of the probability of tracking failure on the values of random and systematic components of the delay tracking error, normalized to the capture band of the time discriminator of the delay tracking scheme for various combinations of these parameters. The areas of weak and strong influence of the value of tracking errors over the delay of the received signal on the probability of tracking failure are determined. The nature of impact of random and systematic components of tracking error on the probability of failure of tracking was analyzed and it was found that in the General case is the ambiguity of normalized mean square of tracking error as the optimization criterion while minimizing the likelihood of tracking loss.
 Calculations performed for a wide range of changes in the normalized delay tracking errors show that to ensure a given quality of signal reception in a radio system with phase-shift keyed signals with spectrum expansion based on pseudorandom sequences, a joint choice of parameters of the delay tracking system that determine the value of random and systematic components of the tracking error is necessary. The results obtained can be used to analyze the characteristics of synchronization systems that monitor the parameters of received signals with a spectrum extension, and to justify the technical solutions of the synchronization system that provide the required quality of signal reception in information and measurement of radio-electronic systems.
Highlights
The issues of ensuring the stability of delay tracking in synchronization systems of radio engineering systems when receiving phase-shift keyed signals with spectrum expansion based on pseudorandom sequences are considered
When working with moving objects, the delay of the received signal continuously changes, synchronization errors occur, and the quality of signal reception largely depends on the stability of the tracking scheme for the delay, characterized by the probability of tracking failure
Delay tracking is usually considered as the main task of the synchronization system of the considered radio systems with phase-manipulated signals with spectrum expansion based on pseudo-random sequences
Summary
Исследовано влияние ошибок синхронизации при слежении за задержкой принимаемого фазоманипулированного сигнала с расширением спектра на основе псевдослучайных последовательностей на вероятность срыва слежения. Проведенные для широкого диапазона изменения нормированных ошибок слежения за задержкой, показывают, что для обеспечения заданного качества приема сигналов в радиотехнической системе с фазоманипулированными сигналами с расширением спектра на основе псевдослучайных последовательностей необходим совместный выбор параметров системы синхронизации, определяющих величину случайной и систематической составляющих ошибки слежения за задержкой. При этом из-за узости полосы захвата схемы слежения за задержкой, соизмеримой с длительностью символа модулирующей ПСП, число которых в периоде ПСП в РТС различного назначения может составлять от сотен до десятков тысяч, слежение за задержкой, как правило, рассматривается в качестве основной задачи системы синхронизации РТС с фазоманипулированными сигналами с расширением спектра на основе ПСП [17,18,19,20,21]. Где U – амплитуда сигнала; f0 – несущая частота; φ – начальная фаза; τ – временная задержка; FД – доплеровский сдвиг частоты сигнала; Δt – длительность символа модулирующей ПСП; N – число символов в периоде (длина) модулирующей ПСП; φn – дискретные фазовые сдвиги, соответствующие символам ПСП n=1,...N
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