Joint TDOA, FDOA and differential Doppler rate estimation: Method and its performance analysis

Hu, Dexiu; Huang, Zhen; Zhang, Shangyu; Lu, Jianhua

doi:10.1016/j.cja.2017.11.005

Cited by 22 publications

(10 citation statements)

References 34 publications

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“…The simulation results illustrate the performance of the proposed solution for different measurement noise levels, which can be obtained from the following equations [19].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Now, combine (16), (19) and (22) to form the set of equations extracted from TDOA, FDOA, and differential Doppler rate measurements as…”

Section: First Wls Stepmentioning

confidence: 99%

“…Nevertheless, extending the observation time would improve FDOA estimation accuracy, which has contributed to source localization [17], but it will cause serious relative Doppler companding problem [17,18]. To overcome it, several efforts considered the differential Doppler rate in the traditional signal model and proposed the joint estimation method, from which TDOA, FDOA, and differential Doppler rate can be obtained simultaneously [18][19][20]. It should be noted that this measurement can be obtained jointly with TDOA and FDOA requiring no additional data collection device, which means using the same received data with TDOA and FDOA estimation [21,22].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An algebraic method for moving source localization using TDOA, FDOA, and differential Doppler rate measurements with receiver location errors

Liu

Zhao

et al. 2019

EURASIP J. Adv. Signal Process.

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To weaken the effect of receiver location error on localization accuracy and make the localization model closer to the practical scenario, this paper considers the receiver location errors, usually neglected in prior studies into the measurement model, and proposes an algebraic method for locating a moving source using time difference of arrival (TDOA), frequency difference of arrival (FDOA), and differential Doppler rate measurements. The proposed method is based on the pseudo-linear set of equations and two-step weighted least square estimator. Only noise values of receiver locations and three types of positioning measurements are available for processing. In addition, a new Cramér-Rao lower bound (CRLB) combining TDOA, FDOA, and differential Doppler rate in the presence of receiver location errors is also derived in this paper. Theoretical analysis and simulation results both indicate that the proposed method can attain CRLB at a moderate noise level, avoid the rank deficiency problem efficiently, and achieve a significant improvement over the existing methods.

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“…The simulation results illustrate the performance of the proposed solution for different measurement noise levels, which can be obtained from the following equations [19].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…Now, combine (16), (19) and (22) to form the set of equations extracted from TDOA, FDOA, and differential Doppler rate measurements as…”

Section: First Wls Stepmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An algebraic method for moving source localization using TDOA, FDOA, and differential Doppler rate measurements with receiver location errors

Liu

Zhao

et al. 2019

EURASIP J. Adv. Signal Process.

Self Cite

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“…However, as the traditional models of one-step or two-step algorithms assume parameters to be constant, the observation time cannot be increased beyond a certain limit, because it could cause deterioration as the relative motion between the emitter and the sensors, especially the nonlinear motion. Hu [30] introduced the relative time companding (RTC) and relative Doppler companding (RDC) factors to analyze the problem quantitatively. If the observation time exceeds the limitation, the shape of cost function used for parameter estimation in two-step algorithms will expand, resulting in performance degradation and possibly the failure of localization.…”

Section: Introductionmentioning

confidence: 99%

Multi-Sensor Passive Localization Using Direct Position Determination with Time-Varying Delay

Zhang

Huang

Feng

et al. 2019

Sensors

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This paper focuses on passive emitter localization using moving sensors. The increase in observation time is beneficial to improve the localization accuracy, but it could cause deterioration of the relative motion between the emitter and the sensors, especially the nonlinear motion. The common localization algorithms typically have two steps: (1) parameter estimation and (2) position determination, where the parameters are assumed to be constant, and it is not applicable for long observation times. We proposed the time-varying delay-based direct position determination (DPD-TVD) method, regarding the variation in the propagation time delay during the observation time. Using one step, the proposed algorithm can obtain the emitter’s position directly from the received signals by calculating the cost function corresponding to the map grid. By better adapting to highly dynamic scenarios, the proposed algorithm can achieve better localization accuracy than that of constant parameters using one-step or two-step procedures, which is demonstrated by the simulation results.

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“…It is well known that the intermediate parameter estimation is sensitive to system errors. When system errors exist, Cherchar [19] and Vincent [20] give statistical performance analyses of the DOA estimation based on SDF and ML criterions, respectively; Hu [21] deduces the localization performance analysis using TDOA and FDOA; and Hari [22] provides an effect of spatial smoothing on the performance analysis of subspace methods. However, the above analyses are only served for the conventional two-step location estimator.…”

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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Joint TDOA, FDOA and differential Doppler rate estimation: Method and its performance analysis

Cited by 22 publications

References 34 publications

An algebraic method for moving source localization using TDOA, FDOA, and differential Doppler rate measurements with receiver location errors

An algebraic method for moving source localization using TDOA, FDOA, and differential Doppler rate measurements with receiver location errors

Multi-Sensor Passive Localization Using Direct Position Determination with Time-Varying Delay

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

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