Signal reconstruction and frequency estimation of a biased and noisy sinusoidal signal

Based on the sampled data of a sinusoidal signal corrupted by unknown constant bias and noise with non-zero mean, a simple and novel approach is proposed to reconstruct the sinusoidal signal having same frequency as the original signal but free from unknown constant bias.Moreover, the noisy component of reconstructed signal have a zero mean no matter what the mean value of noisy component of original signal is. Then, an extended Kalman Filter is employed to estimate the frequency of the new sinusoidal signal. Simulation results show that the proposed method is suitable for fast and reliable frequency estimation of unknown noisy sinusoidal signal whose frequency changes abruptly.