Fast FRFT-Based Algorithm for 3-D LFM Source Localization With Uniform Circular Array

When the fractional Fourier transform (FRFT) is introduced into the weak and high-dynamic global navigation satellite system (GNSS) signal acquisition, the 2-D search cell will be transferred to a 3-D one with respect to the code chip, the Doppler shift, and the Doppler rate. The proper determinations of the code bin and Doppler shift bin in the acquisition process have already been covered in the previous researches. The aim of this paper is to provide an exhaustive analysis of the approach to specify an optimal FRFT order bin, in terms of the Doppler shift rate. The lower and upper bound of FRFT order ranges is determined by the incoming signal dynamics. Then, we propose a precise model to yield an optimal FRFT order bin. Besides, a novel and fast Doppler estimator based on the non-linear least square (NLS) method is presented to improve the performance of the digital FRFT implementation. Finally, an alternate search procedure is proposed to reduce the singular estimations of the NLS method. The simulating examples demonstrate the performance of the proposed algorithms. It has been verified that the computation efficiency and the estimation accuracy have been significantly improved by proposed techniques. INDEX TERMS Global navigation satellite system (GNSS) signal, linear frequency modulation (LFM), fractional Fourier transform (FRFT) order, acquisition, Doppler rate, non-linear least square (NLS).

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“…Equations (23), (24), (25), and (30) can be used to construct an accurate estimator of the Doppler rate. Again, proposed…”

Section: B Frft Gainmentioning

confidence: 99%

“…The digital computation of the FRFT was published by Ozaktas et al [15]. The FRFT was a widely used tool in radar [16]- [20], image processing [21], [22], communications [23], [24], in which the signal is formed with linear frequency modulation (LFM), and it is still currently a powerful tool for different applications [25]- [28].…”

Section: Introductionmentioning

confidence: 99%

A Novel Doppler Rate Estimator Based on Fractional Fourier Transform for High-Dynamic GNSS Signal

Luo

Chen

et al. 2019

IEEE Access

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“…Assuming that unambiguous situation with

ν = 0

, substituting (3) into (10) yields

u_{m}^{'} = \frac{β R}{c} \{(ζ_{m} (ϕ, θ) - ζ_{m + 1} (ϕ, θ)) + \frac{R}{2 r} ()(, ζ_{m}^{2} false(ϕ, θ false) - ζ_{m + 1}^{2} false(ϕ, θ false))\}

By referring to the previous literature [16], the unambiguous phase angle

u_{m}^{'}

can be reformulated as the formation of matrix multiplication, and the LS method is then employed to obtain the source's 3D parameter estimation.…”

Section: Proposed Algorithmmentioning

confidence: 99%

“…Uniform circular arrays (UCAs) which have been researched increasingly in recent years have the advantages over the other array geometries for providing

360 °

azimuth coverage, additional elevation angle information, and almost identical beamwidth [12, 13]. Currently, by combining the geometry advantages of UCAs and the fast phase‐based schemes introduced in [12, 14, 15], we have proposed an effective localisation algorithm for near‐field LFM sources based on the fractional Fourier transform (FRFT) [16]. As both the divisions of frequency band and the signal subspace methods are not required, the computational complexity has been reduced, but the half‐wavelength aperture restriction [17, 18] is still existent.…”

Section: Introductionmentioning

confidence: 99%

Fast algorithm for 3D wideband LFM source localisation based on time delay under a uniform circular array

Chen

Liu

et al. 2019

IET Radar, Sonar & Navigation

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“…In addition to the aforementioned methods, there are many other new localization approaches, such as time-frequency based method [ 26 ], learning based method [ 27 , 28 ], etc.…”

Section: Introductionmentioning

confidence: 99%

Steered sample algorithm for acoustic source localization

et al. 2020

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High-precision source localization depends on many factors, including a suitable location method. Beamforming-based methods, such as the steered response power (SRP), are a common type of acoustic localization methods. However, these methods have low spatial resolution. The SRP method with phase transform (SRP-PHAT) improves the spatial resolution of SRP and is one of the most effective and robust methods for source localization. However, the introduction of a phase transform to SRP might amplify the power of the noise and result in many local extrema in the SRP space, which has a negative impact on source localization. In this paper, a steered sample algorithm (SSA) based on the reciprocity of wave propagation for acoustic source localization is proposed. The SSA localization process is similar to the hyperbolic Radon transform, which is theoretically analyzed and is the most essential difference form the SRP/SRP-PHAT. Compared with the SRP-PHAT, the experimental results demonstrate that the SSA perform better when it comes to array signal positioning with limited array elements and narrow azimuth signal, where SSA can achieve high precision positioning with lower SNR.

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Fast FRFT-Based Algorithm for 3-D LFM Source Localization With Uniform Circular Array

Cited by 8 publications

References 12 publications

A Novel Doppler Rate Estimator Based on Fractional Fourier Transform for High-Dynamic GNSS Signal

A Novel Doppler Rate Estimator Based on Fractional Fourier Transform for High-Dynamic GNSS Signal

Fast algorithm for 3D wideband LFM source localisation based on time delay under a uniform circular array

Steered sample algorithm for acoustic source localization

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