Damped sinusoid fitting algorithm for parameter estimation of real-valued noisy damped sinusoids

• A five-parameter damped sinusoid fitting (5pDSF) algorithm is proposed. • Presentation of the parameter estimation by the 5pDSF algorithm. • Accuracy analysis of the 5pDSF algorithm. • Performance comparison of the 5pDSF algorithm with state-of-the-art algorithms through simulated and experimental results. The paper proposes an algorithm for the estimation of the frequency, decay rate, amplitude, phase, and offset of real-valued noisy damped sinusoids. Initial values for the frequency and the decay rate are determined by means of the two-point Interpolated Discrete Fourier Transform algorithm based on the Hann window. Then the linear least-squares approach is applied iteratively. The performances of the proposed algorithm are analysed and compared with those of two state-of-the-art algorithms by means of both simulation and experimental results.