APPLICATION OF TWO-BIT DITHERED DISCRETE FOURIER BASIS FUNCTIONS IN ELECTRICITY MEASUREMENT

Jelena Đorđević Kozarov; Atila Juhas; Dragan Pejić; Platon Sovilj; Vladimir Vujičić

doi:10.5937/jpea25-34154

Jelena Đorđević Kozarov Univerzitet u Nišu, Elektronski fakultet u Nišu, Aleksandra Medvedeva 14, 18000 Niš
Atila Juhas Faculty of Technical Sciences, 21000 Novi Sad, Trg Dositeja Obradovića 6
Dragan Pejić Faculty of Technical Sciences, 21000 Novi Sad, Trg Dositeja Obradovića 6
Platon Sovilj Faculty of Technical Sciences, 21000 Novi Sad, Trg Dositeja Obradovića 6
Vladimir Vujičić Stevana Mokranjca 16, 21000 Novi Sad

DOI: https://doi.org/10.5937/jpea25-34154

Keywords: Fourier transformation; Stochastic; Dither; Stochastic digital measurement method

Abstract

Paper defines an algorithm for generating two - bit dithered discrete Fourier basis functions (2BDDFBF) used in a Stochastic Digital Discret Fourier Transformation (SDDFT) processor. Based on the theoretical criterion of marginal precision, and norm and orthogonality, the orthonormality of DFT with 32 harmonics was confirmed by simulation and experimentally. The experiment was detailed and comprehensive, both for standardization and for both types of orthogonality. It was performed in 236800000 points in each of the three variants of orthonormalization. The matching of theoretical and experimental precision is very acceptable and it can be said with great reliability that the proposed algorithm for generating DDFBF is correct. 2BDDFBF play key role in electricity measurement what is emphasized in the paper.

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