Title
Tracking Analysis Of Complex Adaptive Iir Notch Filter For A Linear Chirp Signal
Abstract
This paper analyzes frequency tracking characteristics of a complex-coefficient adaptive infinite impulse response (IIR) notch filter with a simplified gradient-based algorithm. The input signal to the complex notch filter is a complex linear chirp embedded in a complex zero-mean white Gaussian noise. The analysis starts with derivation of a first-order real-coefficient difference equation with respect to steady-state instantaneous frequency tracking error. Closed-form expression for frequency tracking mean square error (MSE) is then derived from the difference equation. Lastly, closed-form expressions for optimum notch bandwidth coefficient and step size constant that minimize the frequency tracking MSE are derived. Computer simulations are presented to validate the analysis.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.1526
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
adaptive notch filter, gradient algorithm, linear chirp signal, tracking MSE
Band-stop filter,Digital filter,Control theory,Infinite impulse response,Bandwidth (signal processing),Adaptive filter,Chirp,Instantaneous phase,Mathematics,Tracking error
Journal
Volume
Issue
ISSN
E92A
6
0916-8508
Citations 
PageRank 
References 
5
0.79
3
Authors
3
Name
Order
Citations
PageRank
Aloys Mvuma1164.52
Shotaro Nishimura2208.91
Takao Hinamoto315850.09