Instantaneous frequency estimation using stochastic calculus and bootstrapping
EURASIP Journal on Applied Signal Processing
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Consider a multipath signal whose individual signals are deterministic known pulses. Our problem is to estimate the amplitudes and delay times of individual signals. Our main idea is to consider the multipath signal as a multiple regression model where each time sample is considered to be a possible arrival time of a pulse that may not be real. We use the regression stepwise procedure to select true pulses and eliminate the false pulses. By using this procedure, the number of pulses in a multipath signal does not need to be known. The results of a Monte Carlo simulation study with sinusoidal and trapezoidal pulses are presented to demonstrate the accurate estimation of arrival times and amplitudes by the regression stepwise procedure