Modification of the DFT for improving accuracy of a non-coherently sampled periodic signal spectrum estimation

A modification of the DFT is presented, which led to a distinct minimization of the spectrum leakage effect and improvement in signal harmonics estimation accuracy in case of a non-coherent sampling. The modification consists in adjusting base functions frequencies of the Fourier series to frequencies of the analyzed signal harmonics. The paper presents ideas, introduction, error analysis and signal windowing effects. The modified DFT (MDFT) can be used for analysis of the power network signals, where natural frequency variability hinders the analysis.