Stability Analysis of a Fast Convergence Adaptive Algorithm Based on Square Sum of Correlation Function and Application to Adaptive Notch Filter

2021 ◽  
Vol 141 (12) ◽  
pp. 1503-1504
Author(s):  
Masaki Kobayashi
Keyword(s):  
Correlation Function ◽  
Stability Analysis ◽  
Adaptive Algorithm ◽  
Notch Filter ◽  
Fast Convergence ◽  
Adaptive Notch Filter

Arctangent Gradient Based Adaptive Algorithm for a Second-Order Adaptive IIR Notch Filter

2015 ◽  
Vol 781 ◽  
pp. 535-538
Author(s):  
Rachu Punchalard
Keyword(s):  
Adaptive Algorithm ◽  
Unbiased Estimator ◽  
Frequency Estimation ◽  
Notch Filter ◽  
Second Order ◽  
Filter Parameter ◽  
Adaptive Notch Filter ◽  
Slow Adaptation ◽  
Gradient Based

Frequency estimation based on adaptive notch filter is very attractive due to simplicity and economy. This paper presents an arctangent gradient (AG) based adaptive algorithm for a second-order constrained adaptive IIR notch filter (ANF). The motivation is to use an arctangent value of the gradient signal to adjust the filter parameter. It is revealed that for slow adaptation, the AG can be considered as an unbiased estimator. The quantitative simulations have been conducted to support the superior of the proposed AG algorithm.

Sign in / Sign up

Export Citation Format

Share Document