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QIAN Yang, GENG Junping, LIANG Xianling, ZHU Weiren, YAO Yu, PENG Zheng, JIN Ronghong. Algorithm of broadband beamformer based on Bessel function[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2016, 31(6): 1093-1098. doi: 10.13443/j.cjors.2016102101
Reference format: QIAN Yang, GENG Junping, LIANG Xianling, ZHU Weiren, YAO Yu, PENG Zheng, JIN Ronghong. Algorithm of broadband beamformer based on Bessel function[J]. CHINESE JOURNAL OF RADIO SCIENCE, 2016, 31(6): 1093-1098. doi: 10.13443/j.cjors.2016102101

Algorithm of broadband beamformer based on Bessel function

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  • Received Date: October 20, 2016
  • Available Online: December 30, 2020
  • Published Date: December 30, 2016
  • We present a novel broadband beamformer using a Bessel function based weight vector, aiming at solving the pattern distortion of wideband signals received by a uniform linear array.Owing to the similarity of the Bessel series and the pattern function of the uniform linear array, we design an weight vector based on Bessel functions of the first kind by deducing the relationship between the truncated position of Bessel series and the number of array elements.Simulation results show that the uniform linear array with a proper weight vector can receive wideband signal from 1 to 3 GHz with negligible distortions.The relative amplitude error for pattern functions at different frequencies remains below 10-3, and it can be further reduced by increasing the number of the array elements.In comparison with the existing methods, our proposed broadband beamformer directly uses the coefficients of the truncated Bessel series expansions as the weight vector, possesses high precision, and reduces the computational complexity significantly.
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