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In this paper, tracking characteristics of an adaptive infinite impulse response (IIR) notch filter with a gradient-based simplified adaptation algorithm for an input signal with a randomly-varying frequency is presented. The analysis follows the approach we proposed in recent work where a first-order difference equation with respect to a steady-state instantaneous frequency tracking error is derived...
This paper presents tracking analysis of a gradient-based simplified algorithm for an allpass filter-based adaptive infinite impulse response (IIR) notch filter with a linear chirp input signal. A first-order difference equation with respect to steady-state instantaneous frequency tracking error is derived first. Then tracking error mean, variance and mean square error (MSE) are derived from the difference...
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