(→[http://www.roboternetz.de/phpBB2/viewtopic.php?t=19193 sin oder -sin in einer verrauschten Kurve finden]) |
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</math> | </math> | ||
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| + | === [http://www.roboternetz.de/phpBB2/viewtopic.php?p=232269 Transistor oder Mosfet]=== | ||
| + | <math> | ||
| + | dP = \frac{R_\mathrm{FET}}{(R_\mathrm{FET}+R)^2}U^2 \, dt \qquad\mathrm{mit}\qquad R_\mathrm{FET}=R_\mathrm{FET}(t) | ||
| + | </math> | ||
| + | |||
| + | <math> | ||
| + | \Delta P_\mathrm{FET} = U^2 \cdot \int_0^{\Delta t} \frac{R_\mathrm{FET}}{(R_\mathrm{FET}+R)^2} \, dt \sim \frac{U^2}{R} \Delta t \quad\Rightarrow\quad P_\mathrm{switch} \sim \frac{U^2}{R}\,f\,\Delta t \quad\mathrm{und}\quad P_\mathrm{on} \approx R_\mathrm{on}\frac{U^2}{R^2} | ||
| + | </math> | ||
| + | |||
| + | <math> | ||
| + | P_\mathrm{FET} \approx P_R\cdot \left(\kappa\cdot f\cdot \Delta t + \frac{R_\mathrm{on}}{R}\right) | ||
| + | </math> | ||
Version vom 29. November 2006, 13:28 Uhr
sin oder -sin in einer verrauschten Kurve finden
[math] S(a,b) = \sum_{i=1}^n (f(x_i)-m(x_i))^2 [/math]
[math] \int_0^{2 \pi/b} |a\cdot\mathrm{sin}(b x) | \mathrm{d}x = 4 |a/b| [/math]
[math] (f\star g)(x) = \int_{-\infty}^\infty f(y)\,g(x-y) \,dy \qquad \mathrm{Faltung\ von\ }f\mathrm{\ und\ }g [/math]
[math] (f\star t)_n = \sum_{i=-K}^K t_i \cdot f_{n+i} \qquad\mathrm{mit}\qquad 1 = \sum_{i=-K}^K t_i [/math]
[math] F(x,y) = \int_{x-y}^{x+y} f(t)\,dt [/math]
Transistor oder Mosfet
[math] dP = \frac{R_\mathrm{FET}}{(R_\mathrm{FET}+R)^2}U^2 \, dt \qquad\mathrm{mit}\qquad R_\mathrm{FET}=R_\mathrm{FET}(t) [/math]
[math] \Delta P_\mathrm{FET} = U^2 \cdot \int_0^{\Delta t} \frac{R_\mathrm{FET}}{(R_\mathrm{FET}+R)^2} \, dt \sim \frac{U^2}{R} \Delta t \quad\Rightarrow\quad P_\mathrm{switch} \sim \frac{U^2}{R}\,f\,\Delta t \quad\mathrm{und}\quad P_\mathrm{on} \approx R_\mathrm{on}\frac{U^2}{R^2} [/math]
[math] P_\mathrm{FET} \approx P_R\cdot \left(\kappa\cdot f\cdot \Delta t + \frac{R_\mathrm{on}}{R}\right) [/math]
