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Reference Beam Pattern Design for Frequency Invariant Beamforming Based on Fast Fourier Transform.

Wang Zhang1, Tao Su2

  • 1National Laboratory of Radar Signal Processing, Xi'dian University, Xi'an 710071, China. zhangwang8515@163.com.

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|September 27, 2016
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Summary

This study addresses selecting a reference beam for frequency invariant beamforming (FIB). It reveals that array sensor count and frequency ratio determine the reference beam, ensuring wideband patterns remain frequency invariant.

Keywords:
fast Fourier transformfrequency invariant beamformingfrequency invariant propertyreference beam pattern

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Area of Science:

  • Signal Processing
  • Array Signal Processing
  • Electromagnetics

Background:

  • Fast Fourier Transform (FFT)-based Frequency Invariant Beamforming (FIB) is crucial for wideband signal processing.
  • A key challenge in FIB is selecting an appropriate reference beam for frequency invariance (FI).
  • Existing methods lack a systematic approach for reference beam selection in FIB.

Purpose of the Study:

  • To investigate the problem of reference beam selection in FFT-based FIB.
  • To determine the factors influencing the choice of a reference beam for achieving FI.
  • To propose a novel scheme for designing the reference beam in wideband FIB.

Main Methods:

  • Analysis of the relationship between array parameters and reference beam characteristics.
  • Derivation of the dependency of weight vector length on reference frequency.
  • Investigation of constraints on the reference beam and their impact on FI property.

Main Results:

  • The selection of the reference beam pattern is determined by the number of sensors and the highest-to-lowest frequency ratio (RHL).
  • The weight vector length is dependent on the reference frequency, with an upper bound provided for ensuring FI.
  • Symmetry in the reference beam ensures the FI property is maintained even with added constraints.

Conclusions:

  • A clear method for selecting the reference beam in FFT-based FIB is established.
  • The proposed method provides a systematic approach to designing wideband beamformers with FI properties.
  • This research contributes to the advancement of efficient and robust wideband signal processing techniques.