Quadruple symmetric real signals spectral even and odd decomposition
| Autor: | Jivkov Venelin, Philipoff Philip |
|---|---|
| Jazyk: | English<br />Serbian |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Građevinski Materijali i Konstrukcije, Vol 59, Iss 3, Pp 63-77 (2016) |
| Druh dokumentu: | article |
| ISSN: | 2217-8139 2335-0229 |
| DOI: | 10.5937/grmk1603063J |
| Popis: | The spectral properties of quadruple symmetric real signals are analyzed in the study. Six number theorems are formulated and proofed analytically in a capacity of central results of the research. Lasted theorem could be used to construct complex Fourier spectrum for arbitrary real function by even - odd decomposition. The theorem is illustrated numerically. The initial signal with length N (analogous values length interval or number of discrete samples) in the time domain is Fourier transformed through two spectral - real and imaginary parts with length N in the frequency domain. The real and imaginary parts of the complex Fourier spectrum of the initial signal, could be obtained by procedure, described in the paper. Spectral parts could be calculated by equivalent functions-signals. Even left and odd right equivalent functions-signals contain N/2 nonzero analogous values or discrete samples. This strategy allows constructing complex Fourier spectrum of the initial signal with length N in the time domain based on equivalent real and imaginary spectral parts with the length N/2 in the frequency domain. The study is an extension and resume of AMC 221(2013) pp. 344-350. |
| Databáze: | Directory of Open Access Journals |
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