Accuracy Analysis of an Enhanced Frequency-Domain Linear Least-Squares Algorithm

Abstract

This paper investigates the accuracies of the sine-wave amplitude and phase estimators provided by an enhanced Frequency-domain Linear Least-Squares (e-FLLS) algorithm recently proposed in the literature. The e-FLLS algorithm adopts the rectangular window and it considers three Discrete Time Fourier Transform (DTFT) samples to compensate the contribution of the spectral image component. Analytical expressions for the Mean Squares Errors (MSEs) of the e-FLLS amplitude and phase estimators are derived and their accuracies are verified by means of computer simulations. Moreover, the accuracies of the amplitude and phase estimators provided by the e-FLLS algorithm, the classical three-parameter sine-fit (3PSF) method, and the weighted three-parameter sine-fit (W3PSF) algorithm are compared each other through both theoretical and simulation results.