Difference between revisions of "Linear and Time Invariant Systems"
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− | + | $\Rightarrow \hspace{0.5cm}\text{The English translation is completed with the exception of the last Chapter.}$ | |
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− | + | Based on the book [[Signaldarstellung|$\text{Signal Representation}$]], it is described how to mathematically capture the influence of a filter on deterministic signals. | |
+ | *The book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads. | ||
+ | *The filter influence on a random signal is covered later in Chapter 5 of the book [[Stochastische Signaltheorie|$\text{Theory of Stochastic Signals}$]] . | ||
− | === | + | The subject matter corresponds to a $\text{lecture with two semester hours per week (SWS) and another SWS of exercises}$. |
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+ | First of all, here is an overview of the contents based on the $\text{four main chapters}$ with a total of $\text{twelve individual chapters}$. | ||
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+ | ===Contents=== | ||
{{Collapsible-Kopf}} | {{Collapsible-Kopf}} | ||
− | {{Collapse1| header= | + | {{Collapse1| header= Basics of System Theory |
| submenu= | | submenu= | ||
− | *[[/ | + | *[[/System Description in Frequency Domain/]] |
− | *[[/ | + | *[[/System Description in Time Domain/]] |
− | *[[/ | + | *[[/Some Low-Pass Functions in Systems Theory/]] |
}} | }} | ||
− | {{Collapse2 | header= | + | {{Collapse2 | header=Signal Distortion and Equalization |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Classification of the Distortions/]] |
− | *[[/ | + | *[[/Nonlinear Distortions/]] |
− | *[[/ | + | *[[/Linear Distortions/]] |
}} | }} | ||
− | {{Collapse3 | header= | + | {{Collapse3 | header=Description of Causal Realizable Systems |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Conclusions from the Allocation Theorem/]] |
− | *[[/ | + | *[[/Laplace Transform and p-Transfer Function/]] |
− | *[[/ | + | *[[/Inverse Laplace Transform/]] |
}} | }} | ||
− | {{Collapse4 | header= | + | {{Collapse4 | header=Properties of Electrical Cables |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Some Results from Line Transmission Theory/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{English translation in progress}$ |
− | *[[/ | + | *[[/Properties of Coaxial Cables/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$ |
− | *[[/ | + | *[[/Properties of Balanced Copper Pairs/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$ |
}} | }} | ||
{{Collapsible-Fuß}} | {{Collapsible-Fuß}} | ||
− | + | In addition to these theory pages, we also offer tasks and multimedia modules on this topic, which could help to clarify the teaching material: | |
− | *[https://en.lntwww.de/ | + | *[https://en.lntwww.de/Category:Linear_and_Time-Invariant_Systems:_Exercises $\text{Exercises}$] |
− | *[[LNTwww: | + | *[[LNTwww:Learning_Videos_to_Linear_and_Time_Invariant_Systems|$\text{Learning videos}$]] |
− | *[[LNTwww: | + | *[[LNTwww:LNTwww:Applets_to_"Linear_and_Time_Invariant_Systems"|$\text{Applets}$]] |
− | + | <br><br> | |
− | + | $\text{Further links:}$ | |
− | $\text{ | + | <br><br> |
+ | $(1)$ [[LNTwww:Bibliography_to_Linear_and_Time_Invariant_Systems|$\text{Bibliography for the book}$]] | ||
− | + | $(2)$ [[LNTwww:General_notes_about_"Linear_and_Time_Invariant_Systems"|$\text{General notes about the book}$]] (authors, other participants, materials as a starting point for the book, list of sources) | |
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Revision as of 12:58, 19 October 2021
$\Rightarrow \hspace{0.5cm}\text{The English translation is completed with the exception of the last Chapter.}$
Based on the book $\text{Signal Representation}$, it is described how to mathematically capture the influence of a filter on deterministic signals.
- The book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads.
- The filter influence on a random signal is covered later in Chapter 5 of the book $\text{Theory of Stochastic Signals}$ .
The subject matter corresponds to a $\text{lecture with two semester hours per week (SWS) and another SWS of exercises}$.
First of all, here is an overview of the contents based on the $\text{four main chapters}$ with a total of $\text{twelve individual chapters}$.
Contents
- Some Results from Line Transmission Theory $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{English translation in progress}$
- Properties of Coaxial Cables $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$
- Properties of Balanced Copper Pairs $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$
In addition to these theory pages, we also offer tasks and multimedia modules on this topic, which could help to clarify the teaching material:
$\text{Further links:}$
$(1)$ $\text{Bibliography for the book}$
$(2)$ $\text{General notes about the book}$ (authors, other participants, materials as a starting point for the book, list of sources)