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Sensors 2016, 16(10), 1554; doi:10.3390/s16101554

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

National Laboratory of Radar Signal Processing, Xi’dian University, Xi’an 710071, China
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Academic Editor: Jonathan Li
Received: 31 May 2016 / Revised: 23 August 2016 / Accepted: 14 September 2016 / Published: 22 September 2016
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Abstract

In the field of fast Fourier transform (FFT)-based frequency invariant beamforming (FIB), there is still an unsolved problem. That is the selection of the reference beam to make the designed wideband pattern frequency invariant (FI) over a given frequency range. This problem is studied in this paper. The research shows that for a given array, the selection of the reference beam pattern is determined by the number of sensors and the ratio of the highest frequency to the lowest frequency of the signal (RHL). The length of the weight vector corresponding to a given reference beam pattern depends on the reference frequency. In addition, the upper bound of the weight length to ensure the FI property over the whole frequency band of interest is also given. When the constraints are added to the reference beam, it does not affect the FI property of the designed wideband beam as long as the symmetry of the reference beam is ensured. Based on this conclusion, a scheme for reference beam design is proposed. View Full-Text
Keywords: frequency invariant beamforming; reference beam pattern; fast Fourier transform; frequency invariant property frequency invariant beamforming; reference beam pattern; fast Fourier transform; frequency invariant property
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Zhang, W.; Su, T. Reference Beam Pattern Design for Frequency Invariant Beamforming Based on Fast Fourier Transform. Sensors 2016, 16, 1554.

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