Accurate Sinusoid Frequency and Damping Factor Estimation by Means of Three-Point Interpolated DTFT Algorithms

Leveraging on interpolated discrete-time Fourier transform (IpDTFT) algorithms recently proposed in the literature, this article proposes three frequency and damping factor estimators of real-valued damped sinusoids. The proposed algorithms minimize the effect of wideband noise and compensate for the contribution of the fundamental image component on the estimated parameters by exploiting three interpolation points and weighting the analyzed signal with a maximum sidelobe decay (MSD) window. The accuracies of all the proposed algorithms and other state-of-the-art frequency-domain and time-domain algorithms are compared with each other through simulations considering noisy and harmonically distorted damped sinusoids. The comparison is performed using both simulations based on a real-life model and experimental results.