Effect of noise on real-time parameter estimation of multifrequency signals

An investigation was conducted of the noise influence on the accuracy of a frequency-domain procedure suitable for the real-time estimation of multifrequency signal parameters. Imposing very weak assumptions about the statistical description of the noise, simple and accurate expressions for the variances of the estimators are established. They allow both the evaluation of the resulting accuracy and the design of the estimation method. The effect of the window sequence applied to the incoming signal in order to reduce the occurrence of spectral leakage is analyzed in detail. Simulation results confirm the validity of the analysis