6533b7d2fe1ef96bd125e98a
RESEARCH PRODUCT
An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals
Rosane UshirobiraRosane UshirobiraWilfrid PerruquettiWilfrid PerruquettiMamadou MboupMamadou Mboupsubject
0209 industrial biotechnologyMathematical optimizationNoise (signal processing)020206 networking & telecommunications02 engineering and technologySignalsymbols.namesake020901 industrial engineering & automationAmplitudeSine waveControl and Systems EngineeringSinusoidal waveformSignal Processing0202 electrical engineering electronic engineering information engineeringEuler's formulasymbolsApplied mathematicsDifferential algebraElectrical and Electronic EngineeringAlgebraic numberMathematicsdescription
In this paper, a novel algebraic method is proposed to estimate amplitudes, frequencies, and phases of a biased and noisy sum of complex exponential sinusoidal signals. The resulting parameter estimates are given by original closed formulas, constructed as integrals acting as time-varying filters of the noisy measured signal. The proposed algebraic method provides faster and more robust results, compared with usual procedures. Some computer simulations illustrate the efficiency of our method. Copyright © 2016 John Wiley & Sons, Ltd.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-05-10 | International Journal of Adaptive Control and Signal Processing |