Abstract—The paper deals with the estimation of amplitude and phase of an analogue multi-harmonic band-limited signal from irregularly spaced sampling values. To this end, assuming the signal fundamental frequency is known in advance (i.e., estimated at an independent stage), a complexity-reduced algorithm for signal reconstruction in time domain is proposed. The proposed algorithm for the calculation of the unknown parameters requires O((2M+1)2) flops, while the straightforward solution of the obtained equations takes O((2M+1)3) flops (M is the number of the harmonic components). The paper investigates the errors related to the signal parameter estimation, and there is a computer simulation that demonstrates the accuracy of these algorithms.

Index Terms—Band-limited signals; fourier coefficient estimation; analytical solutions; signal reconstruction; time.

P. B Petrović is with the Technical Faculty Čačak, 32000 Čačak, Serbia(phone: +381-32-302-748; fax: +381-32-342-101; (e-mail: predragp@tfc.kg.ac.rs).

Cite: Predrag B. Petrović, "New Method for Fourier Coefficient Estimation from Irregular Samples," International Journal of Computer and Electrical Engineering vol. 4, no. 1, pp. 47-54, 2012.