The Amplitude Density of a Truncated Fourier Series

The Amplitude Density of a Truncated Fourier Series

A theoretical method is presented for finding the amplitude density of a periodic waveform expressed in terms of a truncated trigonometric Fourier series. If the waveform is approximated by n harmonics, the density depends on the roots of a polynomial of degree 2 n whose coefficients are simple func...

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Veröffentlicht in:I.R.E. transactions on communications systems 1972-06, Vol.20 (3), p.483-485
1. Verfasser: Ludeman, L.
Format: Artikel
Sprache:eng
Schlagworte:
Distribution functions
Electronic countermeasures
Fourier series
Polynomials
Probability density function
Random variables
Signal analysis
Signal resolution
Tiles
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Beschreibung
Zusammenfassung:A theoretical method is presented for finding the amplitude density of a periodic waveform expressed in terms of a truncated trigonometric Fourier series. If the waveform is approximated by n harmonics, the density depends on the roots of a polynomial of degree 2 n whose coefficients are simple functions of the Fourier series coefficients.
ISSN:0090-6778
0096-2244
1558-0857
DOI:10.1109/TCOM.1972.1091161