Deconvolved Beamforming Using the Chebyshev Weighting Method

Wang, Shuhui; Lu, Mingyang; Mei, Jidan; Cui, Wenting

doi:10.1007/s11804-022-00286-7

Cited by 3 publications

(2 citation statements)

References 24 publications

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“…In recent years, DCBF has been widely used for various arrays [ 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ]. Deconvolution is also used as postprocessing for other beamforming methods, such as Chebyshev weighting beamforming [ 39 ] and frequency-difference beamforming [ 40 ], to optimize their spatial spectrum and to improve resolution.…”

Section: Introductionmentioning

confidence: 99%

Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals

Liu

Tao

Sun

et al. 2023

Sensors

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To estimate the direction of arrival (DOA) of a linear frequency modulation (LFM) signal in a low signal-to-noise ratio (SNR) hydroacoustic environment by a small aperture array, a novel deconvolved beamforming method based on fractional Fourier domain delay-and-sum beamforming (FrFB) was proposed. Fractional Fourier transform (FrFT) was used to convert the received signal into the fractional Fourier domain, and delay-and-sum beamforming was subsequently performed. Noise resistance was acquired by focusing the energy of the LFM signal distributed in the time–frequency domain. Then, according to the convolution structure of the FrFB complex output, the influence of the fractional Fourier domain complex beam pattern was removed by deconvolution, and the target spatial distribution was restored. Therefore, an improved spatial resolution of DOA estimation was obtained without increasing the array aperture. The simulation and experimental results show that, with a small aperture array at low SNR, the proposed method possesses higher spatial resolution than FrFB and frequency-domain deconvolved conventional beamforming.

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Section: Introductionmentioning

confidence: 99%

Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals

Liu

Tao

Sun

et al. 2023

Sensors

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“…In this work, for overcoming the above problems, we resort to the Chebyshev polynomials in the design of planar differential microphone array, which has been widely used in traditional array design area [ 45 , 46 , 47 , 48 , 49 , 50 , 51 , 52 , 53 ]. The main contributions of this manuscript are as follows.…”

Section: Introductionmentioning

confidence: 99%

Design of Planar Differential Microphone Array Beampatterns with Controllable Mainlobe Beamwidth and Sidelobe Level

Wang

Zhao

et al. 2023

Sensors

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The differential microphone array, or differential beamformer, has attracted much attention for its frequency-invariant beampattern, high directivity factor and compact size. In this work, the design of differential beamformers with small inter-element spacing planar microphone arrays is concerned. In order to exactly control the main lobe beamwidth and sidelobe level and obtain minimum main lobe beamwidth with a given sidelobe level, we design the desired beampattern by applying the Chebyshev polynomials at first, via exploiting the structure of the frequency-independent beampattern of a theoretical Nth-order differential beamformer. Next, the so-called null constrained and least square beamformers, which can obtain approximately frequency-invariant beampattern at relatively low frequencies and can be steered to any direction without beampattern distortion, are proposed based on planar microphone arrays to approximate the designed desired beampatterns. Then, for dealing with the white noise amplification at low-frequency bands and beampattern divergence problems at high-frequency bands of the null constrained and least square beamformers, the so-called minimum norm and combined solutions are deduced, which can compromise among the white noise gain, directivity factor and beampattern distortion flexibly. Preliminary simulation results illustrate the properties and advantages of the proposed differential beamformers.

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A novel beamforming based on deconvolution for angular super-resolution

ZHANG,

LIU,

et al. 2025

Signal Processing

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Deconvolved Beamforming Using the Chebyshev Weighting Method

Cited by 3 publications

References 24 publications

Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals

Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals

Design of Planar Differential Microphone Array Beampatterns with Controllable Mainlobe Beamwidth and Sidelobe Level

A novel beamforming based on deconvolution for angular super-resolution

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