Coherent summation of multiple short-time signals for direct positioning of a wideband source based on delay and Doppler

Li, Jinzhou; Yang, Le; Guo, Fei; Wen-li, Jiang

doi:10.1016/j.dsp.2015.09.008

Cited by 48 publications

(31 citation statements)

References 25 publications

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“…Moreover, inspired by [24], the large interception window with multiple pulses can be partitioned into multiple short time segments. In this case, we may further hypothesize that each short time segment has a single pulse and each pulse has its individual Doppler frequency shift.…”

Section: Discussionmentioning

confidence: 99%

“…[23] advocates a DPD approach of wide-band emitters based on time delay and FDOA, and the closed-form expression for Cramer-Rao lower bound (CRLB) is also presented. Different with [23], the received wide-band signals are partitioned into multiple non-overlapping short-time signal segments in [24]. By coherent summation and non-coherent summation of the multiple short-time signal segments, novel DPDs were derived in it.…”

Section: Introductionmentioning

confidence: 99%

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Direct Position Determination of Coherent Pulse Trains Based on Doppler and Doppler Rate

Zhang

Guo

et al. 2018

Electronics

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Direct Position Determination (DPD) of coherent pulse trains using a single moving sensor is considered in this paper. Note that when a large observation window and relative maneuvering course between emitter and receiver both exist, the localization accuracy of Doppler frequency shift only based DPD will decline because of the noticeable Doppler frequency shift variations. To circumvent this problem, a Doppler frequency shift and Doppler rate based DPD approach using a single moving sensor is proposed in this paper. First, the signal model of the intercepted coherent pulse trains is established where the Doppler rate is taken into consideration. Then, the Maximum Likelihood based DPD cost function is given, and the Cramer–Rao lower bound (CRLB) on localization is derived whereafter. At last, the Monto Carlo simulations demonstrate that in one exemplary scenario the Doppler frequency shift variations are noticeable with a large observation window and the proposed method has superior performance to the DPD, which is only based on the Doppler frequency shift.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Direct Position Determination of Coherent Pulse Trains Based on Doppler and Doppler Rate

Zhang

Guo

et al. 2018

Electronics

Self Cite

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“…Furthermore, Tirer provides the performance analysis of a high-resolution DPD method based on MVDR in Reference [27]. However, the results in Reference [27,28] could not be applied in moving arrays application. Consequently, in the presence of system errors, there is a strong demand for the performance analysis of single-step method for unknown signal waveforms with moving arrays.…”

Section: Introductionmentioning

confidence: 99%

Performance Analysis of Single-Step Localization Method Based on Matrix Eigen-Perturbation Theory with System Errors

Qin

Wang

2019

Electronics

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Direct position determination (DPD) is a novel technique in passive localization field recently, receiving superior localization performance compared with the conventional two-step method. The DPD estimator using Doppler shifts is first proposed by Weiss, but it is not suitable for antenna arrays. Additionally, the performance analysis of this method with system errors is absent. This study discusses the single-step localization problem based on moving arrays and exhibits the performance analysis via matrix eigen-perturbation theory with system errors. First, the DPD method using angle of arrival and Doppler shifts is introduced. Then, by adding the eigenvalue perturbations to the estimated Hermitian matrix, the asymptotic linear formulation of localization errors is derived. Consequently, the mean square error of the DPD method is available. Finally, Cramér–Rao bound without system errors is presented, providing a benchmark for the best localization precision and revealing the influence of system errors on the localization precision. Simulation results demonstrate the theoretical analysis in this study.

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“…direction of arrival (DOA) and time of arrival (TOA)) of the multipath signals are first extracted and then the source positions are estimated using statistical or parametric methods. 5 Because they involve two separate estimation steps, they cannot guarantee high localization precision for the following two reasons: 11,12 (1) they estimate parameters at each observer separately and independently, as the constraint that the measurements correspond to the same transmitter location is ignored; and (2) data associations are necessary. If the measurements are not related to the correct path, overmodeling occurs, leading to spurious paths 13 and hence additional errors.…”

Section: Introductionmentioning

confidence: 99%

Reflector-aided direct locations of multiple signals in the presence of small reflector position biases

Yin

Wang

et al. 2018

International Journal of Distributed Sensor Networks

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Direct position determination (DPD) is a single-step method that localizes transmitters from sensor outputs without computing intermediate parameters. It outperforms conventional two-step localization methods, especially under low signal-to-noise ratio conditions. This article proposes a reflector-aided DPD algorithm for multiple signals of known waveforms received by an array observer. In previous studies, reflector-aided localization has always required very precise locations of reflectors. Therefore, the localization performance depends sensitively on accurately knowing each reflector position. This study considers the presence of small biases in reflector locations. To make the problem tractable, we simplify the signal model through an approximation using the first-order Taylor expansion and then directly localize multiple sources in a decoupled manner. Unlike most DPDs that presume noise is spatially uncorrelated, our study imposes no restriction on the correlation structure of noise, allowing this algorithm to be used in more general scenarios. In addition, we derive the Cramér-Rao bound expression and perform an analysis of the direct locations of multiple signals when the reflector positions are assumed accurate but in fact have small biases. Simulation results corroborate the theoretical results and a good localization performance of the proposed algorithm in the presence of small reflector position biases.

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Coherent summation of multiple short-time signals for direct positioning of a wideband source based on delay and Doppler

Cited by 48 publications

References 25 publications

Direct Position Determination of Coherent Pulse Trains Based on Doppler and Doppler Rate

Direct Position Determination of Coherent Pulse Trains Based on Doppler and Doppler Rate

Performance Analysis of Single-Step Localization Method Based on Matrix Eigen-Perturbation Theory with System Errors

Reflector-aided direct locations of multiple signals in the presence of small reflector position biases

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