Title :
Adaptive detection and enhancement of multiple sinusoids using a cascade IIR filter
Author :
Kwan, Tom ; Martin, Kenneth
Author_Institution :
Integrated Circuits & Syst. Lab., California Univ., Los Angeles, CA, USA
fDate :
7/1/1989 12:00:00 AM
Abstract :
A constrained adaptive infinite-impulse-response (IIR) filter consisting of a cascade of biquadratic notch sections is used to track multiple sinusoids. The structure can be used to isolate individual sinusoids. It is shown that for small changes around the optimum solution, the proposed update algorithm approximates the Gauss-Newton update without requiring a matrix inversion. Furthermore, the transient response is approximately independent of the number of sinusoids or their power levels. Important adaptive line enhancement performance criteria, such as signal-to-noise improvement ratio and the bias in the frequency estimate assuming white noise, are derived for the single-sinusoid case. Computer simulations are used to demonstrate the performance of the notch filter under a wide range of conditions
Keywords :
digital filters; notch filters; transient response; Gauss-Newton update; adaptive line enhancement performance; biquadratic notch sections; cascade IIR filter; multiple sinusoids; signal-to-noise improvement ratio; transient response; update algorithm; white noise; Band pass filters; Finite impulse response filter; Frequency estimation; IIR filters; Line enhancers; Radar signal processing; Radar tracking; Resonance; Signal processing algorithms; Signal to noise ratio;
Journal_Title :
Circuits and Systems, IEEE Transactions on