Open AccessThe Causes of Leakage Deviations from sinc Function in DFT and Ways to Minimize Them
Author(s) -
Karel Hájek
Publication year - 2020
Publication title -
advances in military technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.137
H-Index - 11
eISSN - 2533-4123
pISSN - 1802-2308
DOI - 10.3849/aimt.01375
Subject(s) - sinc function , spectral leakage , baseband , aliasing , signal (programming language) , leakage (economics) , computer science , algorithm , discrete fourier transform (general) , spectral line , sampling (signal processing) , fourier transform , function (biology) , electronic engineering , mathematics , fast fourier transform , fourier analysis , physics , telecommunications , mathematical analysis , engineering , bandwidth (computing) , fractional fourier transform , quantum mechanics , macroeconomics , detector , undersampling , biology , evolutionary biology , programming language , economics
The article describes a new model for the solution of the instability problem of discrete Fourier transform (DFT) spectra leakage for the incoherent real sinusoidal signal for solving the most accurate estimation of its frequency. This paper shows this phenomenon by a new form of DFT spectrum expression. It consists mainly of the spectrum of the rectangular signal in the form of the sinc function, modulated to the frequency of the tested signal in baseband. To do this, analogous spectra from other neighboring bands formed by the sampling effect are added as aliasing. The analysis shows some ways to minimize or correct it. The paper shows a simpler and substantially lesser effect of aliasing in the DFT spectrum for a complex valued sinusoidal signal.