Optimal base frequency estimation of an electrical signal based on Prony's estimator and a FIR filter

In the paper, an attempt was made to find the optimal parameters for both: the Prony's estimator and the FIR filter. First, an analysis of the measurement window size of the Prony's estimator and the number of the FIR filter coefficients was performed. Then, the optimization problem was defined, which is not trivial, since the Prony's estimator is highly nonlinear and some of the parameters (the window size and the number of filter coefficients) are integers. The research allowed to determine the optimal values of the considered parameters of the frequency estimation method. Along with the results presented in Lewandowski and Walczak (2015) it is now possible to implement the spectrum estimation method from Lewandowski and Walczak (2014) using the optimal set of parameters.