6533b7d2fe1ef96bd125f71d

RESEARCH PRODUCT

Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data

Wilfrid PerruquettiMichel FliessMamadou MboupRosane Ushirobira

subject

0209 industrial biotechnology[ INFO.INFO-TS ] Computer Science [cs]/Signal and Image Processing[INFO.INFO-TS] Computer Science [cs]/Signal and Image ProcessingPhase (waves)02 engineering and technology[ SPI.SIGNAL ] Engineering Sciences [physics]/Signal and Image processingSignalsymbols.namesake020901 industrial engineering & automation[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering[ INFO.INFO-AU ] Computer Science [cs]/Automatic Control Engineering0202 electrical engineering electronic engineering information engineeringElectronic engineeringFraction (mathematics)Differential algebraAlgebraic numberMathematics[SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processingEstimation theory020206 networking & telecommunicationsAmplitudeEuler's formulasymbols[SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processingAlgorithm[INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering

description

International audience; The amplitude, frequency and phase of a biased and noisy sum of two complex exponential sinusoidal signals are estimated via new algebraic techniques providing a robust estimation within a fraction of the signal period. The methods that are popular today do not seem able to achieve such performances. The efficiency of our approach is illustrated by several computer simulations.

yearjournalcountryeditionlanguage
2012-07-01
https://hal.inria.fr/hal-00685067