Performance analysis and application of posteriori lattice-ladder algorithm based on Givens rotation

Abstract

In this paper, a posteriori QR decomposition (QRD) least squares (LS) lattice-ladder algorithm without square root based on Givens rotation is derived from the posteriori LS lattice-ladder algorithm and the tracking performance is analyzed in nonstationary signal operation environment (SOE). The simulation results using system identification model show that the posteriori algorithm can track the time-varying coefficients with small coefficient deviation and have steady numerical characteristic. The application of the algorithm in Multi-beam bathymetry sonar for side lobe interference is given and the processing results of port and starboard beams prove that it can effectively eliminate the interference in underwater acoustic signal returns.