Extracting correct parameters from saturated sinusoidal signal with noises in electro-magnetic coupling system

In this paper, the extraction for noised saturated sinusoidal signal is proposed for the electro-magnetic coupling sensing system. The method is based on the Least Squares fitting Method to extract the signal amplitude and phase from the saturated sinusoidal signal. According to the extracted amplitude and phase, we can get a sinusoidal signal and remove the sample with large error by comparing it with the original signal. Then, LSM is applied again with the new group of data to compute the amplitude and phase. This is iterated until the signal meets the error conditions. The method is evaluated by the simulation, which is also applied to the data acquired from the real electro-magnetic coupling system. The results show that if there are enough samples, the method can extract the correct sinusoidal signal with satisfactory accuracy and velocity. This provides the foundation to accurately extract the signal with the saturated sinusoidal signals with large noises, so that the measurement range of the electromagnetic coupling system is enlarged significantly.