Title :
Tracking characteristics of the constrained IIR adaptive notch filter
Author :
Rao, Bhakar D. ; Peng, Rong
Author_Institution :
AMES Dept., California Univ., San Diego, La Jolla, CA, USA
fDate :
9/1/1988 12:00:00 AM
Abstract :
The tracking behavior of a constrained IIR notch filter, the coefficients of which are estimated using a constant-step-size Gauss-Newton algorithm, is studied. Using weak convergence theory and the concept of prescaling, it is shown that the mean behavior of the adaptive filter coefficients can be studied by using an ordinary differential equation (ODE). Approximate and simple closed-form results are derived for the tracking behavior of a second-order notch filter. Computer simulations are presented to substantiate the analysis
Keywords :
convergence; differential equations; digital filters; filtering and prediction theory; notch filters; closed-form results; computer simulations; constant-step-size Gauss-Newton algorithm; constrained IIR adaptive notch filter; convergence theory; ordinary differential equation; prescaling; second-order notch filter; tracking behaviour; Adaptive filters; Additive noise; Autoregressive processes; Differential equations; Frequency; IIR filters; Least squares methods; Narrowband; Newton method; Poles and zeros;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
