Fourier Coefficient Estimation Based Differential Values of the Processed Signal

作者：Petrovic Predrag B^*

来源：IETE Journal of Research, 2010, 56(1): 30-43.

DOI：10.4103/0377-2063.61262

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

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.

• 出版日期2010-2