najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2024-15-3-325-331najo-60Research ArticlePHYSICSФИЗИКАErrors of in-phase and quadrature demodulation method created by low-pass filterПогрешности метода синфазной и квадратурной демодуляции, создаваемые фильтром низких частотhttps://orcid.org/0000-0002-4265-8818МирошниченкоГ. П.MiroshnichenkoG. P.

Георгий П. Мирошниченко

Научно-исследовательский центр световодной фотоники

197101; Кронверкский пр. 49; Санкт-Петербург

George P. Miroshnichenko

Research Center of light guide photonics

197101; Kronverksky pr. 49; St. Petersburg

gpmirosh@gmail.comhttps://orcid.org/0000-0003-4869-2838АржаненковаА. Н.ArzhanenkovaA. N.

Алина Н. Аржаненкова

Научно-исследовательский центр световодной фотоники

197101; Кронверкский пр. 49; Санкт-Петербург

Alina N. Arzhanenkova

Research Center of light guide photonics

197101; Kronverksky pr. 49; St. Petersburg

11arzh11@gmail.comhttps://orcid.org/0000-0003-2506-0379ПлотниковМ. Ю.PlotnikovM. Yu.

Михаил Ю. Плотников

Научно-исследовательский центр световодной фотоники

197101; Кронверкский пр. 49; Санкт-Петербург

Michail Yu. Plotnikov

Research Center of light guide photonics

197101; Kronverksky pr. 49; St. Petersburg

plotnikov-michael@yandex.ruУниверситет ИТМОITMO University202401062025153325331Copyright © Miroshnichenko G.P., Arzhanenkova A.N., Plotnikov M.Y., 20252025Мирошниченко Г.П., Аржаненкова А.Н., Плотников М.Ю.Miroshnichenko G.P., Arzhanenkova A.N., Plotnikov M.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/60

   This article explores phase errors created by low-pass filter in interferometric signals which are processed by In-Phase and quadrature demodulation algorithm (IQ-demodulation). These errors were calculated using the analytical method and were compared with mathematical modeling, which uses pre-calculated parameters: phase, sampling period, infinitesimal parameters. In this paper, we show that phase errors calculated with analytical method clearly correlate with mathematical modeling errors. This work made it possible to calculate corrections to the demodulated phase, which, in turn, made it possible to refine the phase calculation step in IQ demodulation algorithm using the arctangent function. The resulting formulas describing the correction to the demodulated phase will increase the accuracy of the quadrature method, which is used to process signals from interferometric devices of various types, such as: reflectometers, geophysical seismic systems,interferometric radiometry, etc.

   Данная статья посвящена исследованию фазовых погрешностей интерферометрических сигналов, создаваемых фильтром низких частот в методе синфазной и квадратурной демодуляции (IQ-демодуляция). Погрешности посчитаны аналитическим методом и сопоставлены с погрешностями, полученными с помощью математического моделирования, в котором используются заранее посчитанные параметры: фаза, период дискретизации, параметры малости.

   Основные результаты. В данной статье было показано, что погрешности фазы, полученные аналитическим методом, хорошо коррелируют с погрешностями, посчитанными с помощью математического моделирования. Данное исследование позволило рассчитать поправки к демодулируемой фазе, что, в свою очередь, улучшило этап вычисления фазы в квадратурном алгоритме демодуляции IQ с использованием функции арктангенса.

   Практическая значимость. Полученные формулы, описывающие поправки к демодулируемой фазе, повысят точность квадратурного метода демодуляции, который применяется для обработки сигналов с интерферометрических приборов различного типа, например: рефлектометров, геофизических сейсмических систем, приборов для интерферометрической радиометрии и т. д.

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The authors declare that there are no conflicts of interest present.