An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements

Donghua HUANG; Yongsheng ZHAO; Yongjun ZHAO; Meijuan CHU

doi:10.11999/JEIT200470

Volume 43 Issue 3

Mar. 2021

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Article Navigation > Journal of Electronics & Information Technology > 2021 > 43(3): 735-744

Donghua HUANG, Yongsheng ZHAO, Yongjun ZHAO, Meijuan CHU. An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements[J]. Journal of Electronics & Information Technology, 2021, 43(3): 735-744. doi: 10.11999/JEIT200470

Citation:

Donghua HUANG, Yongsheng ZHAO, Yongjun ZHAO, Meijuan CHU. An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements[J]. Journal of Electronics & Information Technology, 2021, 43(3): 735-744. doi: 10.11999/JEIT200470

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An Algebraic Solution for Single-Observer Passive Coherent Location Using DOA-TDOA-FDOA Measurements

doi: 10.11999/JEIT200470

PLA Strategic Support Force Information Engineering University, Zhengzhou 450001, China

Funds: The National Natural Science Foundation of China (61703433), The Scientific and Technological Research Project in Henan Province (192102210095)

Received Date: 2020-06-11
Rev Recd Date: 2021-01-28

Available Online: 2021-02-24

Publish Date: 2021-03-22

Abstract

Abstract

To achieve the target localization using single-observer receiving multiple external illuminators, an algebraic solution based on two-step Weighted Least Squares (2WLS) is proposed to find the target position and velocity from Direction Of Arrival (DOA), Time Difference Of Arrival (TDOA), and Frequency Difference Of Arrival (FDOA) measurements. In the first WLS step, the DOA, TDOA, and FDOA measurements are pseudo-linearized by introducing additional parameters and a WLS minimization is used to obtain an rough estimate of target position and velocity; Then in the second WLS step, the relationship between the additional parameters and the target location parameters is utilized to form another set of linear equations, from which the final accurate estimate of target position and velocity are obtained by using WLS minimization again. The Cramer-Row Lower Bound (CRLB) for DOA-TDOA-FDOA-based target position and velocity estimation are derived. Theoretical accuracy analysis and simulation results indicate that the proposed solution can achieve the CRLB at sufficiently small measurement noise levels.

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