Fast and Accurate Estimation of Real-Valued Damped Sinusoid Amplitude and Phase

This paper proposes fast amplitude and phase estimators for real-valued damped sinusoid based on the classical Interpolated Discrete Fourier Transform (IpDFT) algorithm and the Maximum Sidelobe Decay (MSD) windows. To this aim, at first analytical expressions for the contribution of the fundamental image component on the IpDFT estimates are derived. Then, exploiting the derived expressions new amplitude and phase estimators are proposed. The achievable accuracy is investigated by using both simulation and experimental results related to real-valued noisy or noisy and distorted damped sinusoids. Moreover, the performance of the proposed algorithm, and three other state-of-the-art algorithms are compared to each other considering both simulated and experimental data.