Mathematics

Findings from University of Naples Federico II Broaden Understanding of Algorithms

  2012 APR 17 - (VerticalNews.com) -- Researchers detail in "Analytical metrological characterization of the three-parameter sine fit algorithm," new data in Algorithms. "The three-parameter sine fit is a well known algorithm used in IEEE standard 1241-2000 for ADC characterization to estimate sine wave parameters from recorded data. An analytical metrological characterization of that algorithm is carried out in terms of its design parameters, namely the sampling rate and the number of samples," investigators in Naples, Italy report.

  "Optimal and sub-optimal parameters' sets are found. Focusing on the amplitude estimation, an approximated statistical characterization of the second order is given in the most general case of zero mean additive noise, whereas the exact probability density function is found for the optimal set of algorithm parameters in the case of additive white Gaussian noise. In this particular case, the frequency behavior of the algorithm is fully analyzed and the exact frequency response of the amplitude is also found. An approximated expression that is easier to use is then presented and discussed," wrote M. Martino and colleagues, University of Naples Federico II.

  The researchers concluded: "Simulation results for a single set of parameters are presented in order to graphically illustrate the analytical results."

  Martino and colleagues published their study in Isa Transactions (Analytical metrological characterization of the three-parameter sine fit algorithm. Isa Transactions, 2012;51(2):262-70).

  For additional information, contact M. Martino, Dipartimento di Ingegneria Elettrica, University of Naples Federico II, Via Claudio 21, Naples, 80125, Italy.

  Keywords: City:Naples, Country:Italy, Region:Europe.

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2012, VerticalNews Mathematics via VerticalNews.com.