Abstract
ObjectivesThe aim of the study is to develop a mathematical model for determining the direction-finding error of an aerodrome automatic direction finder (ADF), depending on the position of the defective vibrator relative to the source of radio emission.MethodsTo determine the direction-finding error depending on the mutual location of the defective ADF vibrator and direction finding towards the radio source, the method of Fourier series expansion of step-by-step sampling of the signal phases is used. The direction-finding error is defined as the difference in the sum of the first harmonics of the phase sample’s stepped envelope Fourier expansion of the fault-free and defective antenna systems.ResultsIn this work, a mathematical model is obtained for determining the direction-finding error of the aerodrome automatic direction finder (ADF), depending on the mutual position of the defective vibrator and direction finding towards the radio source. The graph of the alteration of the ADF direction finding error is obtained depending on the position of the defective vibrator and the direction finding towards the source of radio emission. It is shown that during ADF operating in the quasi-Doppler mode, the failure of the vibrators located along the direction finding towards the source of radio emission does not lead to an error in direction finding. Conversely, during ADF operating in the differential-phase mode, the failure of the vibrators located along the direction finding towards the source of radio emission leads to a maximum direction-finding error, reaching 3.75є.ConclusionWhen an aerodrome automatic direction finder (ADF) operates in a quasi-Doppler mode, the failure of the vibrators located along the direction finding towards the source of radio emission does not lead to an error in direction finding and, conversely, when the ADF operates in differential phase mode, this results in a maximum direction-finding error of 3.75є.
Highlights
To determine the direction-finding error depending on the mutual location of the defective automatic direction finder (ADF) vibrator and direction finding towards the radio source, the method of Fourier series expansion of step-by-step sampling of the signal phases is used
The graph of the alteration of the ADF direction finding error is obtained depending on the position of the defective vibrator and the direction finding towards the source of radio emission
It is shown that during ADF operating in the quasi-Doppler mode, the failure of the vibrators located along the direction finding towards the source of radio emission does not lead to an error in direction finding
Summary
Для определения ошибки пеленгования в зависимости взаимного расположения неисправного вибратора АРП и пеленга на источник радиоизлучения используется метод разложения ступенчатой выборки фаз сигналов в ряд. В работе получена математическая модель для определения ошибки пеленгования аэродромного автоматического радиопеленгатора (АРП), в зависимости от взаимного расположения неисправного вибратора и пеленга на источник радиоизлучения. В АРП же, работающем в дифференциально-фазовом режиме, наоборот, выход из строя вибраторов, расположенных вдоль пеленга на источник радиоизлучения, приводит к появлению максимальной ошибки пеленгования, которая может достигать величины 3,750. При работе аэродромного автоматического радиопеленгатора (АРП) в квазидоплеровском режиме выход из строя вибраторов, расположенных вдоль пеленга на источник радиоизлучения не приводит к появлению ошибки пеленгования и, наоборот, при работе АРП в дифференциально-фазовом режимеэто приводит к появлению максимальной ошибки пеленгования, которая может достигать величины 3,750. EVALUATION OF ERRORS CAUSED BY FALURE OF ANTENNA SYSTEM ELEMENTS INAN AERODROME AUTOMATIC RADIO DIRECTION FINDER
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