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| author | Philipp Le <philipp-le-prviat@freenet.de> | 2020-05-30 01:05:02 +0200 |
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| committer | Philipp Le <philipp-le-prviat@freenet.de> | 2021-03-04 01:31:57 +0100 |
| commit | 4adcc6e2ce83cca88ef7dd78582d8b5bc5617d05 (patch) | |
| tree | d494c1b9f9c53d597827cc1595cb8270062f2895 /exercise02/exercise02.tex | |
| parent | c273024c80fabc5cf85dc146fc88f9a848d94be5 (diff) | |
| download | dcs-lecture-notes-4adcc6e2ce83cca88ef7dd78582d8b5bc5617d05.zip dcs-lecture-notes-4adcc6e2ce83cca88ef7dd78582d8b5bc5617d05.tar.gz dcs-lecture-notes-4adcc6e2ce83cca88ef7dd78582d8b5bc5617d05.tar.bz2 | |
Corrections to Chapter 2 and Exercise 2
Diffstat (limited to 'exercise02/exercise02.tex')
| -rw-r--r-- | exercise02/exercise02.tex | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/exercise02/exercise02.tex b/exercise02/exercise02.tex index 3c5e412..e561555 100644 --- a/exercise02/exercise02.tex +++ b/exercise02/exercise02.tex @@ -139,10 +139,10 @@ &= \frac{1}{\pi n} \left( \SI{0.8}{V} \cdot \left( \sin\left(\frac{\pi}{2}n\right) - - \underbrace{\sin\left(-\frac{\pi}{2}n\right)}_{= \sin\left(\frac{\pi}{2}n\right)} + - \underbrace{\sin\left(-\frac{\pi}{2}n\right)}_{= -\sin\left(\frac{\pi}{2}n\right)} \right) - \SI{0.2}{V} \cdot \left( - \underbrace{\sin\left(\frac{3\pi}{2}n\right)}_{= \sin\left(\frac{\pi}{2}n\right)} + \underbrace{\sin\left(\frac{3\pi}{2}n\right)}_{= -\sin\left(\frac{\pi}{2}n\right)} - \sin\left(\frac{\pi}{2}n\right) \right) \right) \\ @@ -806,7 +806,7 @@ \end{equation*} Using the time-shift theorem: \begin{equation*} - u_o(t) = \mathcal{F}^{-1}\left\{\underline{U}_i\left(j \omega\right)\right\} = \SI{1.19}{V} \cdot \cos\left(2 \pi \cdot \SI{2.5}{kHz} \cdot t - \SI{53.6}{\degree}\right) + u_o(t) = \mathcal{F}^{-1}\left\{\underline{U}_i\left(j \omega\right)\right\} = \SI{1.19}{V} \cdot \cos\left(2 \pi \cdot \SI{2.5}{kHz} \cdot t + \SI{53.6}{\degree}\right) \end{equation*} The signal has been attenuated and phase-shifted. \end{tasks} |