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.  
 
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 book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads.  
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{{Collapse4 | header=Properties of Electrical Cables
 
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*[[/Some Results from Transmission Line Theory/]]
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*[[/Some Results from Line Transmission Theory/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{English translation in progress}$
*[[/Properties of Coaxial Cables/]]
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*[[/Properties of Coaxial Cables/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$
*[[/Properties of Balanced Copper Pairs/]]
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*[[/Properties of Balanced Copper Pairs/]] $\hspace{0.5cm}\Rightarrow \hspace{0.5cm}\text{Not yet translated}$
 
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*[https://en.lntwww.de/Category:Linear_and_Time-Invariant_Systems:_Exercises  $\text{Exercises}$]
 
*[https://en.lntwww.de/Category:Linear_and_Time-Invariant_Systems:_Exercises  $\text{Exercises}$]
 
*[[LNTwww:Learning_Videos_to_Linear_and_Time_Invariant_Systems|$\text{Learning videos}$]]
 
*[[LNTwww:Learning_Videos_to_Linear_and_Time_Invariant_Systems|$\text{Learning videos}$]]
*[[LNTwww:Applets_Related_to_Signal_Representation|$\text{Applets}$]]   
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*[[LNTwww:LNTwww:Applets_to_"Linear_and_Time_Invariant_Systems"|$\text{Applets}$]]   
 
<br><br>
 
<br><br>
 
$\text{Further links:}$
 
$\text{Further links:}$
 
<br><br>
 
<br><br>
$(1)$&nbsp; &nbsp; [[LNTwww:Bibliography_to_Signal_Representation|$\text{Bibliography for the book}$]]
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$(1)$&nbsp; &nbsp; [[LNTwww:Bibliography_to_Linear_and_Time_Invariant_Systems|$\text{Bibliography for the book}$]]
  
$(2)$&nbsp; &nbsp; [[LNTwww:General_notes_about_Signal_Representation|$\text{General notes about the book}$]] &nbsp; (authors,&nbsp; other participants,&nbsp; materials as a starting point for the book,&nbsp; list of sources)
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$(2)$&nbsp; &nbsp; [[LNTwww:General_notes_about_"Linear_and_Time_Invariant_Systems"|$\text{General notes about the book}$]] &nbsp; (authors,&nbsp; other participants,&nbsp; materials as a starting point for the book,&nbsp; list of sources)
<br><br>
 
 
 
In addition to these theory pages, we also offer assignments and multimedia modules on this topic that could help clarify the subject matter:
 
*[[LNTwww:Lernvideos_zu_Lineare_zeitinvariante_Systeme|$\text{Educational videos}$]]
 
*[[LNTwww:HTML5-Applets_zu_Lineare_zeitinvariante_Systeme|$\text{Newly designed applets}$]]&nbsp; (based on HTML5 and JavaScript, also executable on smartphones)
 
*[[LNTwww:SWF-Applets_zu_Lineare_zeitinvariante_Systeme|$\text{Former applets}$]]&nbsp; (based on SWF, executable only on WINDOWS with "Adobe Flash Player")
 
<br><br>
 
$\text{More links:}$
 
 
<br><br>
 
<br><br>
$(1)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Recommended reading for the book}$]]
 
  
$(2)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_zeitinvariante_Systeme|$\text{General notes on the Book}$]] &nbsp; (authors,&nbsp; other contributors,&nbsp; materials as a starting point of the book,&nbsp; list of references)
 
  
 
{{Display}}
 
{{Display}}

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

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)