Journal of Systems Engineering and Electronics ›› 2010, Vol. 21 ›› Issue (6): 941-947.doi: 10.3969/j.issn.1004-4132.2010.06.003

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SRV constraint based FIB design for wideband linear array

Peng Chen1,*, Yihui Liang2, Chaohuan Hou1, Xiaochuan Ma1, and Dapeng Liu1   

  1. 1. Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190, P. R. China;
    2. Systems Engineering Research Institute, China State Shipbuilding Corporation, Beijing 100036, P. R. China
  • Online:2010-12-20 Published:2010-01-03

Abstract:

Frequency-invariant beamformer (FIB) design is a key issue in wideband array signal processing. To use commonly wideband linear array with tapped delay line (TDL) structure and complex weights, the FIB design is provided according to the rule of minimizing the sidelobe level of the beampattern at the reference frequency while keeping the distortionless response constraint in the mainlobe direction at the reference frequency, the norm constraint of the weight vector and the amplitude constraint of the averaged spatial response variation (SRV). This kind of beamformer design problem can be solved with the interior-point method after being converted to the form of standard second order cone programming (SOCP). The computer simulations are presented which illustrate the effectiveness of our FIB design method for the wideband linear array with TDL structure and complex weights.

Key words: tapped delay line (TDL), wideband linear array, frequency invariant beamformer (FIB), spatial response variation
(SRV),
second order cone programming (SOCP)