Open AccessComplex Term Elimination of Time-Shift Signal Based on Frequency Domain Conjugate Pair Method and MATLAB
Author(s) -
Yunbo Gao,
Zheng Liu,
Xuan Chen,
Daoan Li,
Zheng Yuan-jian
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/612/5/052009
Subject(s) - complex conjugate , time domain , frequency domain , matlab , signal (programming language) , term (time) , domain (mathematical analysis) , sequence (biology) , algorithm , computer science , translation (biology) , displacement (psychology) , conjugate , mathematics , mathematical analysis , physics , computer vision , psychology , biochemistry , chemistry , quantum mechanics , biology , messenger rna , gene , psychotherapist , genetics , programming language , operating system
This paper mainly describes that a signal displacement in time domain and DFT transform will produce complex exponential terms in frequency domain due to time shift. By constructing conjugate symmetry structure in frequency domain, the complex terms can fluctuate back and forth in order of 10 −16 magnitude, which is called minimal complex terms. The real functions in MATLAB can eliminate 10 −16 magnitude terms. The minimal complex term makes the real sequence approximate to the real sequence after translation in time domain.