A novel algorithm for adaptive IIR notch filter based on lattice form structure

Abstract

In this paper, a new class of adaptive step-size control algorithm for a second-order adaptive IIR notch filter based on lattice form structure for detection of sinusoids in noise environment is introduced. The proposed algorithm is adjusting by the new gradient signal, the new autocorrelation of output signal and the new autocorrelation of the error signal to control the step-size of the algorithm. By the proposed method, the optimization of the coefficients of the filter is obtained. The simulation results confirm that the performance of the proposed algorithm provides fast convergence speed, low variance, low bias and low mean square error of filter coefficients.

A Novel Optimization Algorithm for Notch Bandwidth in Lattice Based Adaptive Filter for the Tracking of Interference in GPS

“…The red and blue curves in Fig. 6 show the simulation results for the algorithm in [18] and [19]. As it can be observed from the results in Fig.…”

“…Figure 6. Tracking and Convergence performance of proposed method, reference [17] and [18], where = 0.02, = 0.018 and = 0.9 .…”

“…How an update equation for is implemented depends on the choice of the adaptive algorithm such as LMS, RLS, signed-LMS, fixed-step size or time-varying step-size. In [18] only β is adapted in the lattice based structure via modified version of the signed NLMS algorithm shown below…”