J4 ›› 2015, Vol. 42 ›› Issue (4): 8-13.doi: 10.3969/j.issn.1001-2400.2015.04.002

• Original Articles • Previous Articles     Next Articles

Design and application of the allpass fractional delay filter

WU Kai;SU Tao   

  1. (National Key Lab. of Radar Signal Processing, Xidian Univ., Xi'an  710071, China)
  • Received:2014-03-12 Online:2015-08-20 Published:2015-10-12
  • Contact: WU Kai E-mail:ookaykay@163.com

Abstract:

By analyzing the design and solving of the allpass fractional delay filter (APFDF) based on the weighted least square method, a new APFDF design procedure adopting the modified genetic algorithm based on elite strategy is proposed, which assures the convergence and stability in obtaining the filter's coefficients. The hybrid genetic operators speed up the convergence of genetic operation towards the global optimal solution and prevent it from pondering around the solution. Simulation results show that the allpass fractional delay filters designed are of low order and high precision. Applied in wideband digital beamforming (WDBF), the aperture transition and frequency dispersion problems are solved successfully and the beam formed approximates the ideal beam.

Key words: digital beamforming, wideband, fractional delay, genetic algorithm

CLC Number: 

  • TN958.92