Deconvolved Fractional Fourier Domain Beamforming for Linear Frequency Modulation Signals

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.

[1]  Wenting Cui,et al.  Deconvolved Beamforming Using the Chebyshev Weighting Method , 2022, Journal of Marine Science and Application.

[2]  Seong-Hyeon Lee,et al.  Direction Finding for Multiple Wideband Chirp Signal Sources using Blind Signal Separation and Matched Filtering , 2022, Signal Process..

[3]  Xiang Tian,et al.  Combination Complex-Valued Bayesian Compressive Sensing Method for Sparsity Constrained Deconvolution Beamforming , 2022, IEEE Transactions on Instrumentation and Measurement.

[4]  Tian Zhou,et al.  2-D Deconvolved Conventional Beamforming for a Planar Array , 2021, Circuits, Systems, and Signal Processing.

[5]  Ronghao Zheng,et al.  A Passive DOA Estimation Algorithm of Underwater Multipath Signals via Spatial Time-Frequency Distributions , 2021, IEEE Transactions on Vehicular Technology.

[6]  Xiao Han,et al.  Fractional Fourier transform based underwater multi-targets direction-of-arrival estimation using wideband linear chirps , 2020 .

[7]  Chao Sun,et al.  Deconvolved frequency-difference beamforming for a linear array. , 2020, The Journal of the Acoustical Society of America.

[8]  Haixin Sun,et al.  Gridless Underdetermined DOA Estimation of Wideband LFM Signals With Unknown Amplitude Distortion Based on Fractional Fourier Transform , 2020, IEEE Internet of Things Journal.

[9]  T.C. Yang,et al.  The Effect of Elevation Angle on Bearing Estimation for Array Beamforming in Shallow Water , 2020, Global Oceans 2020: Singapore – U.S. Gulf Coast.

[10]  T. C. Yang.  Deconvolution of decomposed conventional beamforming. , 2020, The Journal of the Acoustical Society of America.

[11]  Dali Liu,et al.  Multiple Targets Detection of Linear Frequency-Modulated Continuous Wave Active Sonar Using Fractional Fourier Transform , 2020 .

[12]  Dajun Sun,et al.  Improving the Performance of a Vector Sensor Line Array by Deconvolution , 2020, IEEE Journal of Oceanic Engineering.

[13]  T.C. Yang,et al.  Deconvolved Conventional Beamforming for a Coprime Array , 2019, OCEANS 2019 - Marseille.

[14]  Paolo Castellini,et al.  Acoustic beamforming for noise source localization – Reviews, methodology and applications , 2019, Mechanical Systems and Signal Processing.

[15]  Gabor T. Herman,et al.  Monotone FISTA With Variable Acceleration for Compressed Sensing Magnetic Resonance Imaging , 2019, IEEE Transactions on Computational Imaging.

[16]  T. C. Yang.  Superdirective beamforming applied to SWellEx96 horizontal arrays data for source localization. , 2019, The Journal of the Acoustical Society of America.

[17]  Bo Li,et al.  Off-Grid DOA Estimation for Wideband LFM Signals in FRFT Domain Using the Sensor Arrays , 2019, IEEE Access.

[18]  T. C. Yang,et al.  Performance Analysis of Superdirectivity of Circular Arrays and Implications for Sonar Systems , 2019, IEEE Journal of Oceanic Engineering.

[19]  Jie Huang,et al.  Smart Ocean: A New Fast Deconvolved Beamforming Algorithm for Multibeam Sonar , 2018, Sensors.

[20]  Leena Mary,et al.  Performance Analysis of Fractional Fourier Domain Beam-Forming Methods for Sensor Arrays , 2018, Smart Science.

[21]  T. C. Yang,et al.  Deconvolved conventional beamforming for a planar array and Cramer Rao bound , 2018, The Journal of the Acoustical Society of America.

[22]  Hui Li,et al.  Research on DOA Estimation of Nonstationary Signal Based on Fractional Fourier Transform , 2018, 2018 OCEANS - MTS/IEEE Kobe Techno-Oceans (OTO).

[23]  Dajun Sun,et al.  The Deconvolved Conventional Beamforming for Non-Uniform Line Arrays , 2018, 2018 OCEANS - MTS/IEEE Kobe Techno-Oceans (OTO).

[24]  Yaoliang Song,et al.  Wideband DOA estimation based on incoherent signal subspace method , 2018 .

[25]  T. C. Yang,et al.  Deconvolved Conventional Beamforming for a Horizontal Line Array , 2018, IEEE Journal of Oceanic Engineering.

[26]  Naichang Yuan,et al.  DOA estimation of LFM signals based on STFT and multiple invariance ESPRIT , 2017 .

[27]  Hyoung-Nam Kim,et al.  Robust LFM Target Detection in Wideband Sonar Systems , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[28]  Desen Yang,et al.  Spatial time-frequency DOA estimation based on joint diagonalization using Jacobi rotation , 2017 .

[29]  B. M. Salin,et al.  Methods for measuring bistatic characteristics of sound scattering by the ocean bottom and surface , 2016 .

[30]  Sedigheh Ghofrani,et al.  Matching pursuit for direction of arrival estimation in the presence of Gaussian noise and impulsive noise , 2014, IET Signal Process..

[31]  Junfeng Wang,et al.  Wideband LFM Interference Suppression Based on Fractional Fourier Transform and Projection Techniques , 2014, Circuits Syst. Signal Process..

[32]  Ying Zhang,et al.  Parameter estimation of chirp signals based on fractional Fourier transform , 2013 .

[33]  L. Reichel,et al.  Iterative Methods of Richardson-Lucy-Type for Image Deblurring , 2013 .

[34]  A. Belouchrani,et al.  Performance analysis for time-frequency MUSIC algorithm in presence of both additive noise and array calibration errors , 2012, EURASIP J. Adv. Signal Process..

[35]  LJubisa Stankovic,et al.  Fractional Fourier transform as a signal processing tool: An overview of recent developments , 2011, Signal Process..

[36]  Ran Tao,et al.  Research progress of the fractional Fourier transform in signal processing , 2006, Science in China Series F.

[37]  Marc Brunel,et al.  Fractional-order Fourier series expansion for the analysis of chirped pulses , 2005 .

[38]  A. Bultheel,et al.  Computation of the fractional Fourier transform , 2004 .

[39]  Steve McLaughlin,et al.  Fractional Fourier transform techniques applied to active sonar , 2003, Oceans 2003. Celebrating the Past ... Teaming Toward the Future (IEEE Cat. No.03CH37492).

[40]  Sudhakar Prasad,et al.  Statistical-information-based performance criteria for Richardson-Lucy image deblurring. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[41]  Gozde Bozdagi Akar,et al.  Digital computation of the fractional Fourier transform , 1996, IEEE Trans. Signal Process..

[42]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[43]  J. Capon.  High-resolution frequency-wavenumber spectrum analysis , 1969 .

[44]  M. S. Babtlett.  Smoothing Periodograms from Time-Series with Continuous Spectra , 1948, Nature.