Abstract | ||
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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 |
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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 Mvuma | 1 | 16 | 4.52 |
Shotaro Nishimura | 2 | 20 | 8.91 |
Takao Hinamoto | 3 | 158 | 50.09 |