Least square procedures to improve the results of the three-parameter sine fitting algorithm

Authors

  • Aldo Baccigalupi University of Naples Federico II
  • Guido d'Alessandro University of Naples Federico II
  • Mauro D'Arco University of Naples Federico II
  • Rosario Schiano Lo Moriello University of Naples Federico II

DOI:

https://doi.org/10.21014/acta_imeko.v4i2.173

Abstract

The paper presents two approaches to improve the three parameter sine fitting algorithm and attain accurate estimates of the parameters of a sinusoidal signal corrupted by noise. As the four parameter sine fitting algorithm, which is usually adopted to improve the estimates of the three parameter algorithm, in theory, the proposed ones can be inserted into iterative schemes and repeated until a target precision is gained. Anyway, the use of the proposed algorithms is particularly suggested for those applications in which the results must be gained in very short times, which are in contrast to long iterative procedures. In these cases, when a single run of the algorithms has to offer the required improvement, the proposed ones are valid alternatives with respect to the four parameter algorithm, sharing with it almost comparable accuracy.

Author Biographies

Aldo Baccigalupi, University of Naples Federico II

Aldo Baccigalupi received the M.S. degree in elec- tronic engineering from the Università di Napoli Federico II, Napoli, Italy, in 1974. Since 1976, he has been teaching electrical and electronic measurement with the Dipartimento di Informatica e Sistemistica, Università di Napoli Federico II, where he is currently a Full Professor. His current research interests include digital signal processing, measurement systems on geographic net- works, distance and level transducers, and dynamic characterization of analog-to-digital and digital-to-analog converters. Prof. Baccigalupi is a member of the Scientiï¬c Committee of the Electrical and Electronic Measurement Group of the National Council of Research and of the Italian Society for Computer Simulation

Guido d'Alessandro, University of Naples Federico II

Guido d'Alessandro was born in Naples in 1986. He received the master degree in Electric Engineering in 2012 by the University of Naples Federico II. He is currently attending the Ph. D. Courses in Electric Engineering at the University of Naples Federico II. His main research topics include digital signal processing approaches and wireless power transmission technologies.

Mauro D'Arco, University of Naples Federico II

Mauro D'Arco was born in Salerno, Italy, in 1974. He received the Electronic Engineering degree from the University of Salerno, Salerno, in 1999, and the Ph.D. degree in electrical engineering from the University of Naples Federico II, Naples, Italy, in 2003. He is currently an Assistant Professor with the Department of Electric Engineering, University of Naples Federico II. His current research interests include modelling and testing of A/D and D/A converters, electronic equipment troubleshooting and diagnostics, methods for phase-noise measurements, and methods for wireless power transmission.

Rosario Schiano Lo Moriello, University of Naples Federico II

Rosario Schiano Lo Moriello was born in Castellammare di Stabia, Italy, in 1975. He received the M.S. degree (cum laude) in materials engineering and the Ph.D. degree in electrical engineering from the Università degli Studi di Napoli Federico II, Napoli, Italy, in 2001 and 2004, respectively. He is currently an Assistant Professor with the Dipartimento di Informatica e Sistemistica, Università degli Studi di Napoli Federico II. His research interests include distance smart sensors based on ultrasonics, uncertainty evaluation in indirect measurements, new methods based on warblet transforms for instantaneous frequency estimation, and real-time apparatuses for phase noise measurement.

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Published

2015-06-29

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Section

Research Papers