Joint estimation of frequency and rate of its change by differenced phase measurements when processing coherent packets of sinusoidal signals
- 1,2 JSC «All-Russian Scientific Research Institute «Gradient» (Rostov-on-Don, Russia)
Abstract
The method for joint estimation of the frequency and rate of its change by differential-phasic measurements when processing coherent packets is proposed. A computationally efficient method for estimating the frequency and rate of its change for successive coherent packets of complex sinusoidal signals based on the optimal weighting of differential-phasic statistics is synthesized. The proposed estimates are calculated as a linear function of differential-phasic measurements and, within the framework of the accepted assumptions, the estimate is a linear unbiased estimate with minimum variance.
An explicit expression for the lower limit of the variance of the estimate considered is obtained, and a comparative study of the accuracy characteristics of the proposed estimation method with other similar methods is performed. A significant increase in the accuracy of joint estimation by taking into account the coherence of the processed signal packets is shown. The efficiency of the method at a moderately high signal-to-noise ratio is confirmed; at its values from 11.5 dB, an almost complete coincidence of the estimation RMS with its permissible lower limit is demonstrated.
- Received
- 23.09.2022
- Approved after review
- 07.10.2022
- Accepted
- 24.10.2022
How to cite
Скрипкин А.А., Щербачёв В.А. Совместное оценивание частоты и скорости ее изменения по разностно-фазовым измерениям при обработке когерентных пакетов сигнала // Радиотехника. 2022. Т. 86. № 11. С. 34−41. DOI: https://doi.org/10.18127/j00338486-202211-06
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