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A novel adaptive algorithm of IIR lattice notch filter realized by all-pass filter is presented.The time-averaged estimation of cross correlation of the present instantaneous input signal and the past output signal is used to update the step-size,leading to a considerably improved convergence rate in a low SNR situation and reduced steady-state bias and MSE.The theoretical expression for steady-state bounds on the step-size is derived,and the influence factors on the stable performance of the algorithm theoretically are analyzed.A normalized power factor is then introduced to control variation of step-size in its steady-state bounds.This technique prevents divergence due to the influence of large power input signal and improves robustness.Numerical experiments are performed to demonstrate superiority of the proposed method.
A novel adaptive algorithm of IIR lattice notch filter realized by all-pass filter is presented. The time-averaged estimation of cross correlation of the instantaneous input signal and the past output signal is used to update the step-size, leading to substantially improved convergence rate in a low SNR situation and reduced steady-state bias and MSE. The theoretical expression for steady-state bounds on the step-size is derived, and the influence factors on the stable performance of the algorithm theoretically analyzed. A normalized power factor is then introduced to control variation of step-size in its steady-state bounds.This technique prevents divergence due to the influence of large power input signal and improves robustness. Numerical experiments are performed to demonstrate superiority of the proposed method.