2019
DOI: 10.3390/s19112554
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Time Difference of Arrival (TDoA) Localization Combining Weighted Least Squares and Firefly Algorithm

Abstract: Time difference of arrival (TDoA) based on a group of sensor nodes with known locations has been widely used to locate targets. Two-step weighted least squares (TSWLS), constrained weighted least squares (CWLS), and Newton–Raphson (NR) iteration are commonly used passive location methods, among which the initial position is needed and the complexity is high. This paper proposes a hybrid firefly algorithm (hybrid-FA) method, combining the weighted least squares (WLS) algorithm and FA, which can reduce computati… Show more

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Cited by 89 publications
(53 citation statements)
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“…Among the candidate methods are the linear closed-form method [9] where a linearization is performed to simplify the problem, which results in exacerbating the noise effect. Other techniques are based on combining weighted least squares and firefly algorithm [23], and 1 minimization [24]. In this paper, we adopt a maximum likelihood approach which can be pursued as follows [13]:…”
Section: A the Tdoa Approachmentioning
confidence: 99%
“…Among the candidate methods are the linear closed-form method [9] where a linearization is performed to simplify the problem, which results in exacerbating the noise effect. Other techniques are based on combining weighted least squares and firefly algorithm [23], and 1 minimization [24]. In this paper, we adopt a maximum likelihood approach which can be pursued as follows [13]:…”
Section: A the Tdoa Approachmentioning
confidence: 99%
“…ToF can be improved by using the Bluetooth standard as a channel which mitigates the consequences of signal fading and inference (Giovanelli and Farella, 2018). TDoA uses the difference given by the arrival time of the signal sender and receiver (Wu et al, 2019). The difference is computed as being the multiplication between the speed of light in vacuum and the time difference.…”
Section: Related Workmentioning
confidence: 99%
“…The error has two components: A constant bias (positive or negative), b, and a zero-mean Gaussian noise. The SNR of any range difference signal is defined as [32]:…”
Section: Simulation Setupmentioning
confidence: 99%