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Set of flashcards Details

Flashcards 12
Language Deutsch
Category Electrical Engineering
Level University
Created / Updated 23.01.2017 / 23.01.2017
Licencing Not defined    (Unterricht Dr. Richard Gut)
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Fourierreihe ak

\(a_k = \frac{2}{T_p} \int_0^{T_p} X(t) \cdot cos(2\pi f_pk t)dt\)

Fourierreihe bk

\(b_k = \frac{2}{T_p} \int_0^{T_p} X(t) \cdot sin(2\pi f_pk t)dt\)

Fourrierreihe x(t)

\(x(t) = \frac{a_0}{2}+\displaystyle\sum_{k=1}^{\infty} \big(a_k\cdot cos(2\pi f_pkt+b_k \cdot sin(2\pi f_pkt \big )\)

Fourierreihe x(t) 

\(x(t) = \frac{A_0}{2}+\displaystyle\sum_{k=1}^{\infty} A_k \cdot cos(2\pi f_pkt + \varphi_k)\)

Fourier-Transformation x(t) -> X(f)

\(X(f) = \int_{-\infty}^{\infty} x(t) \cdot \mathrm{e}^{-j2\pi f t}dt\)

Fouriertransformation X(f) -> x(t)

\(x(t) = \int_{-\infty}^{\infty} X(f) \cdot \mathrm{e}^{+j2\pi f t}df\)

Spektrum Sinus / Cosinus

z-Transformation laplace -> z

\(z = \mathrm{e}^{sT}\)