title: ÐÑÐ¸Ð±ÐºÐ¸ ÑÐ°Ð·Ð¾Ð²ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾ÑÐ°Ñ , Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ¸Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÐµ ÑÐµÑÐµÑÐºÐ¸ Ñ Ð¼Ð°Ð»ÑÐ¼ ÑÐ¸ÑÐ»Ð¾Ð¼ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Errors of phase measurements in direction finders using antenna arrays with a small number of elements
Creators: name: ÐÑÐ»ÐµÐ³Ð¶Ð°Ð½Ð¸Ð½, ÐÐ²Ð³ÐµÐ½Ð¸Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð Ð°Ð´Ð¸Ð¾Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾ÑÑ
ÐÐ½ÑÐµÐ½Ð½ÑÐµ ÑÐµÑÐµÑÐºÐ¸
Ð¼Ð°Ð»Ð¾ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð°Ñ Ð°Ð½ÑÐµÐ½Ð½Ð°Ñ ÑÐµÑÐµÑÐºÐ°
Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ
small number of elements antenna array
mutual coupling

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â ÑÐ°Ð·Ð¾Ð²ÑÐ¹ ÑÐ°Ð´Ð¸Ð¾Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾Ñ. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¿Ð¾Ð²ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾ÑÐ° Ñ ÑÐ°Ð²Ð½Ð¾Ð¼ÐµÑÐ½Ð¾Ð¹ ÐºÐ¾Ð»ÑÑÐµÐ²Ð¾Ð¹ Ð°Ð½ÑÐµÐ½Ð½Ð¾Ð¹ ÑÐµÑÐµÑÐºÐ¾Ð¹ Ñ Ð¼Ð°Ð»ÑÐ¼ ÑÐ¸ÑÐ»Ð¾Ð¼ Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð², ÑÐ°Ð±Ð¾ÑÐ°ÑÑÐµÐ³Ð¾ Ð½Ð° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ðµ ÑÐ²ÐµÑÑÑÐ°Ð·ÑÐµÑÐµÐ½Ð¸Ñ, Ð·Ð° ÑÑÐµÑ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÑÐ¾Ð²Ð½Ñ Ð¾ÑÐ¸Ð±Ð¾Ðº ÑÐ°Ð·Ð¾Ð²ÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð½Ð° Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ñ, Ð²ÑÐ·Ð²Ð°Ð½Ð½ÑÑ Ð²Ð·Ð°Ð¸Ð¼Ð½ÑÐ¼ Ð²Ð»Ð¸ÑÐ½Ð¸ÐµÐ¼ Ð¼ÐµÐ¶Ð´Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÐ¼Ð¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ð¼Ð¸. Ð ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ ÑÑÐµÐ´Ð½ÐµÐºÐ²Ð°Ð´ÑÐ°ÑÐ¸ÑÐ½Ð¾Ð³Ð¾ Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° Ð¸ÑÑÐ¾ÑÐ½Ð¸Ðº ÑÐ°Ð´Ð¸Ð¾Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ Ð¾Ñ ÑÐ°ÑÑÐ¾ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð°, Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° Ð¸ÑÑÐ¾ÑÐ½Ð¸Ðº ÑÐ°Ð´Ð¸Ð¾Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ, Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»-ÑÑÐ¼, ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð² Ð°Ð½ÑÐµÐ½Ð½Ð¾Ð¹ ÑÐµÑÐµÑÐºÐµ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¾ÑÑÐ°Ð¶ÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ð¾Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ Ð°Ð´Ð´Ð¸ÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð±ÐµÐ»Ð¾Ð³Ð¾ Ð³Ð°ÑÑÑÐ¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÑÐ¼Ð° Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾Ð³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¼ÐµÐ¶Ð´Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÐ¼Ð¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ð¼Ð¸. ÐÑÐµÐ½ÐµÐ½Ð° ÑÑÐµÐ¿ÐµÐ½Ñ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°, Ð²ÑÐ·Ð²Ð°Ð½Ð½Ð°Ñ Ð±ÐµÐ»ÑÐ¼ Ð³Ð°ÑÑÑÐ¾Ð²ÑÐºÐ¸Ð¼ ÑÑÐ¼Ð¾Ð¼ Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð½ÑÐ¼ Ð²Ð»Ð¸ÑÐ½Ð¸ÐµÐ¼ Ð¼ÐµÐ¶Ð´Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÐ¼Ð¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ°Ð¼Ð¸. Ð¡Ð¾Ð·Ð´Ð°Ð½ Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ ÐºÐ¾Ð¼Ð¿ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾Ð³Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ, ÐºÐ¾ÑÐ¾ÑÑÐ¹, Ð² Ð¾ÑÐ»Ð¸ÑÐ¸Ðµ Ð¾Ñ Ð´ÑÑÐ³Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð², Ð¿ÑÐ¸Ð¼ÐµÐ½Ð¸Ð¼ Ð´Ð»Ñ Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐµÑÐµÑÐ¾Ðº Ñ Ð»ÑÐ±ÑÐ¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð¾Ð¼ Ð°Ð½ÑÐµÐ½Ð½ÑÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¸ Ð»ÑÐ±Ð¾Ð¹ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸ÐµÐ¹. ÐÑÐµÐ½ÐµÐ½Ð° ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÐºÐ¾Ð¼Ð¿ÐµÐ½ÑÐ°ÑÐ¸Ð¸ Ñ ÑÐ¾ÑÐºÐ¸ Ð·ÑÐµÐ½Ð¸Ñ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð¸ Ð¸ÑÐ¿ÑÐ°Ð²Ð»ÑÑÑÐµÐ¹ ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÐ¸. Ð ÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð°Ð³Ð¸ÑÑÑÐ° Ð¼Ð¾Ð³ÑÑ Ð±ÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ð² ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¼ÐµÑÑÐ¾Ð¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² ÑÐ°Ð´Ð¸Ð¾Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ (Ð¼Ð¾ÑÑÐºÐ¾Ð¹, Ð²Ð¾Ð·Ð´ÑÑÐ½Ð¾Ð¹, ÐºÐ¾ÑÐ¼Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð½Ð°Ð²Ð¸Ð³Ð°ÑÐ¸Ð¸).
description: The subject of the graduate qualification work is âPhase radio direction finderâ. The given work is devoted to improving the efficiency of a direction finder with a uniform annular antenna array with a small number of antenna elements, operating on the superresolution algorithm, by reducing the level of phase measurement errors on the antenna elements caused by the mutual influence between the antenna elements. In the course of the work, the dependences of the root-mean-square error of determining the direction to the source of radio emission on the frequency of the signal and the direction to the source of radio emission, the signal-to-noise ratio, the number of antenna elements in the antenna array and the reflection coefficient of the signal from the antenna elements under the influence of additive white Gaussian noise and mutual coupling between antenna elements were received. The degree of degradation in the accuracy of bearing determination caused by white Gaussian noise and mutual influence between antenna elements has been estimated. An algorithm for compensating mutual coupling has been created and implemented, which, unlike other algorithms, is applicable to antenna arrays with any number of antenna elements and any topology. The effectiveness of the compensation algorithm is estimated from the point of view of computational complexity and correcting ability. The results of the final qualification work of the master can be applied in various systems for determining the location of sources of radio emission (marine, air, space navigation).