Summary
Zusammenfassung Fourier-Reihen
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Zusammenfassung zu Fourier-Reihen mit Beispielen. Sehr anschaulich Mit Kommentaren
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FOURIERVorberaitun
Bain(x cO3 (X)
cimi
sin (2x
omplexe Zahlen cos(Y) +jein(W
Inteoalrechnu fele lutegration
leitorraum
avor- Reihe Folgen + Reihen
Transformation
nal, Phase Amplitude, 2eit
Fegien pKtrum
ao
omilabwardlung(
Cs
o
e zum Velttoiaum
(X) = 0.X +
Foudor-Reihe (Beispiel
10-sa(x) + 30 sa(2x) +4.Sa (3x)
Sn (2x)
aks LinearKombnahon
Sin (X) auchcos(X)
, JedperiodischeFunktion derFom GrundKkreisfregven (w
f )= F(t KT 2
KunnexautdurcleineunendlicheReihetñ onomatn scherFunktionein
des Formelbeschrieben werden
cos( t undb sin(nut
reolenz
Gegeben or diefunktion
in (2 200H 2 00 + 180
Gesuchtisr dieReriodendauar derfunlfion
11 200Ha 200 He
300 42
1/ 200t ms
Reispie uberechnen st die PeriodlendauerT ourFunlfion
in (120s t+ S2006 t+ 10s
dlr Kreisfreqvenzen aller
fühit einePrimdzahlzeregu
Teilschwingungen durch
wn
200 I0
DiePrimalzalleu2 undS
20
be
1d0 S taucnein doei zerlegun
a
3C gen genau einmal aut
200S 1s0 s
120S
0S
2. 2. 3
2
0,628 s
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