Application of two-bit dithered Discrete Fourier basis functions in electricity measurement

Abstract

The paper defines an algorithm for generating two-bit dithered discrete Fourier basis functions (DDFBF) used in a Stochastic Digital Discrete Fourier Transformation (SDDFT) processor. Based on the theoretical criterion of upper limit precision of norm and orthogonality, the orthonormality of DFT with 32 harmonics is explored by simulation and experimentally. The experiment was detailed and comprehensive, both for norm and for both types of orthogonality. It is performed in 236,8 million points in each of three variants of orthonormality. The matching of theoretical and experimental precision is very acceptable and it can be said with great confidence that the proposed algorithm for generating DDFBF is correct. The DDFBF approach plays a key role in electricity measurement, which is emphasized in the paper.

Keywords

• fourier transformation
• basis functions
• dither
• stochastic digital measurement method