Influence of Additive White Gaussian Noise on the Interpolation Method of Discrete Spectrum
Without noise, the interpolation method of discrete spectrum is accurate except rounding error. However, the estimation accuracy is declined when a signal corrupted with noise, and even turns out to be meaningless. The paper investigates the influence of additive White Gaussian Noise on the accuracy of amplitude and phase based on interpolation method. Analytical expressions of the estimator variance for amplitude and phase correction are derived. Simulation results confirm the validity of the presented analysis.
C. Y. Xu et al., "Influence of Additive White Gaussian Noise on the Interpolation Method of Discrete Spectrum", Advanced Materials Research, Vols. 383-390, pp. 2951-2957, 2012