Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar

This article presents a novel approach to the estimation of motion parameters of objects in passive forward scattering radars (PFSR). In such systems, most frequency modulated signals which are used have parameters that depend on the geometry of a radar scene and an object’s motion. Worth noting is...

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Main Authors: Karol Abratkiewicz, Piotr Krysik, Zbigniew Gajo, Piotr Samczyński
Format: Article
Language:English
Published: MDPI AG 2019-08-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/19/16/3627
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spelling doaj-e595af99d2874d4a940ffa9df827d2b72020-11-25T01:16:37ZengMDPI AGSensors1424-82202019-08-011916362710.3390/s19163627s19163627Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering RadarKarol Abratkiewicz0Piotr Krysik1Zbigniew Gajo2Piotr Samczyński3Institute of Electronic Systems, Faculty of Electronics and Information Technology, Warsaw University of Technology, 00-665 Warsaw, PolandInstitute of Electronic Systems, Faculty of Electronics and Information Technology, Warsaw University of Technology, 00-665 Warsaw, PolandInstitute of Electronic Systems, Faculty of Electronics and Information Technology, Warsaw University of Technology, 00-665 Warsaw, PolandInstitute of Electronic Systems, Faculty of Electronics and Information Technology, Warsaw University of Technology, 00-665 Warsaw, PolandThis article presents a novel approach to the estimation of motion parameters of objects in passive forward scattering radars (PFSR). In such systems, most frequency modulated signals which are used have parameters that depend on the geometry of a radar scene and an object’s motion. Worth noting is that in bistatic (or multistatic) radars forward scattering geometry is present thus in this case only Doppler measurements are available while the range measurement is unambiguous. In this article the modulation factor, also called the Doppler rate, was determined based on the chirp rate (equivalent Doppler rate) estimation concept in the time-frequency (TF) domain. This approach utilizes the idea of the complex phase of the short-time Fourier transform (STFT) and its modification known from the literature. Mathematical dependencies were implemented and verified and the simulation results were described. The accuracy of the considered estimators were also verified using the Cramer-Rao lower bound (CRLB) to which simulated data for the considered estimators was compared. The proposed method was validated using a real-life signal collected from a radar operating in PFSR geometry. The Doppler rate provided by a car crossing the baseline between the receiver and the GSM transmitter was estimated. Finally, the concept of using CR estimation, which in the case of PFSR can be understood as Doppler rate, was confirmed on the basis of both simulated and real-life data.https://www.mdpi.com/1424-8220/19/16/3627passive forward scattering radarchirp rate estimationpassive radarforward scattering radarradar measurementstime-frequency analysis
collection DOAJ
language English
format Article
sources DOAJ
author Karol Abratkiewicz
Piotr Krysik
Zbigniew Gajo
Piotr Samczyński
spellingShingle Karol Abratkiewicz
Piotr Krysik
Zbigniew Gajo
Piotr Samczyński
Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
Sensors
passive forward scattering radar
chirp rate estimation
passive radar
forward scattering radar
radar measurements
time-frequency analysis
author_facet Karol Abratkiewicz
Piotr Krysik
Zbigniew Gajo
Piotr Samczyński
author_sort Karol Abratkiewicz
title Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
title_short Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
title_full Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
title_fullStr Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
title_full_unstemmed Target Doppler Rate Estimation Based on the Complex Phase of STFT in Passive Forward Scattering Radar
title_sort target doppler rate estimation based on the complex phase of stft in passive forward scattering radar
publisher MDPI AG
series Sensors
issn 1424-8220
publishDate 2019-08-01
description This article presents a novel approach to the estimation of motion parameters of objects in passive forward scattering radars (PFSR). In such systems, most frequency modulated signals which are used have parameters that depend on the geometry of a radar scene and an object’s motion. Worth noting is that in bistatic (or multistatic) radars forward scattering geometry is present thus in this case only Doppler measurements are available while the range measurement is unambiguous. In this article the modulation factor, also called the Doppler rate, was determined based on the chirp rate (equivalent Doppler rate) estimation concept in the time-frequency (TF) domain. This approach utilizes the idea of the complex phase of the short-time Fourier transform (STFT) and its modification known from the literature. Mathematical dependencies were implemented and verified and the simulation results were described. The accuracy of the considered estimators were also verified using the Cramer-Rao lower bound (CRLB) to which simulated data for the considered estimators was compared. The proposed method was validated using a real-life signal collected from a radar operating in PFSR geometry. The Doppler rate provided by a car crossing the baseline between the receiver and the GSM transmitter was estimated. Finally, the concept of using CR estimation, which in the case of PFSR can be understood as Doppler rate, was confirmed on the basis of both simulated and real-life data.
topic passive forward scattering radar
chirp rate estimation
passive radar
forward scattering radar
radar measurements
time-frequency analysis
url https://www.mdpi.com/1424-8220/19/16/3627
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AT zbigniewgajo targetdopplerrateestimationbasedonthecomplexphaseofstftinpassiveforwardscatteringradar
AT piotrsamczynski targetdopplerrateestimationbasedonthecomplexphaseofstftinpassiveforwardscatteringradar
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