Fourier Coefficient Estimation Based Differential Values of the Processed Signal

Abstract

This paper is concerned with the estimation of amplitude and phase of an analog multi-harmonic signal based on a series of differential values of the signal. To this end, assuming the signal fundamental frequency is known before hand (i.e., estimated in an independent stage), a complexity-reduced scheme is proposed here, based on the matrix method classically used to estimate the Fourier coefficients. The reduction in complexity is achieved owing to completely new analytical and summarized expressions that enable a quick estimation at a low numerical error. It is applied in signal reconstruction, spectral estimation, system identification, as well as in other important signal processing problems. The proposed method of processing can be used for precise root mean square (rms) measurements (for power and energy) of a periodic signal based on the presented signal reconstruction. The paper investigates the errors related to the signal parameter estimation, and there is a computer simulation that demonstrates the accuracy of these algorithms.

Keywords:

• Analytical solutions
• Differential values
• Signal reconstruction
• Terms-Band-limited signals

Additional information

Notes on contributors

Predrag B. Petrović

Predrag Petrovic received the B.S.E.E. and M.Sc. degrees in electrical engineering from the University of Belgrade Yugoslavia, in 1991 and 1994, respectively, and Ph.D. degree in the field of digital signal processing at the University of Novi Sad in 2004. He finished faculty as one of the best (top 2%) in your class. Since 1991, he has been the Teaching and Research Assistant at the University of Kragujevac, Cacak College of Engineering, and from 2006 he holds position of associate professor. His main interest is digital signal processing, microcontroller programming, power electronics, AD conversion, mathematics, and cryptology. He published more than 100 journals and conference papers, six university books, one international monograph (Springer) and holds four patents. He is the member of IEEE, IEICE and MENSA.

E-mail: [email protected]