The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SIGNAL PROCESSING
Transactions ID Number: 53-596
Full Name: Ioana Diaconescu
Position: Associate Professor
Age: ON
Sex: Female
Address: Hipodrom 7, bl. F2, ap.11, 810234 Braila
Country: ROMANIA
Tel: +40745431418
Tel prefix: 0745431418
Fax:
E-mail address: idiaconescu@ugal.ro
Other E-mails: lgrigorescu@ugal.ro
Title of the Paper: About Fourier Transform
Authors as they appear in the Paper: Luiza Grigorescu, Gheorghe Oproescu, Ioana Diaconescu
Email addresses of all the authors: lgrigorescu@ugal.ro, gheorghe.oproescu@ugal.ro, idiaconescu@ugal.ro
Number of paper pages: 12
Abstract: This paper analyses Fourier transform used for spectral analysis of periodical signals and emphasizes some of its properties. It is demonstrated that the spectrum is strongly depended of signal duration that is very important for very short signals which have a very rich spectrum, even for totally harmonic signals. Surprisingly is taken the conclusion that spectral function of harmonic signals with infinite duration is identically with Dirac function and more of this no matter of duration, it respects Heisenberg fourth uncertainty equation. In comparison with Fourier series, the spectrum which is emphasized by Fourier transform doesn't have maximum amplitudes for signals frequencies but only if the signal lasting a lot of time, in the other situations these maximum values are strongly de-phased while the signal time decreasing. That is why one can consider that Fourier series is useful especially for interpolation of non-harmonic periodical functions using harmon!
ic functions and less for spectral analysis.
Keywords: Signals, Fourier transform, Continuous spectrum properties, Quantum Physics, Fourier series, Discrete spectrum
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