Difference between revisions of "Linear and Time Invariant Systems"

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Based on the book [[Signaldarstellung|$\text{Signal Representation}$]], wie man den Einfluss eines Filters auf deterministische Signale mathematisch erfassen kann.
 
*Das Buch definiert Verzerrungen und beschreibt die Laplace-Transformation für kausale Systeme sowie die Eigenschaften elektrischer Leitungen.
 
*Der Filtereinfluss auf ein Zufallssignal wird erst später im Kapitel 5 des Buches  [[Stochastische Signaltheorie|$\text{Theory of Stochastic Signals}$]]  behandelt.
 
  
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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|$\text{Theory of Stochastic Signals}$]] .
  
Der Lehrstoff entspricht einer  $\text{Vorlesung mit zwei Semesterwochenstunden (SWS) und einer weiteren SWS Übungen}$.
 
  
Hier zunächst eine Inhaltsübersicht anhand derder  $\text{vier Hauptkapitel}$  mit insgesamt  $\text{zwölf Einzelkapiteln}$.  
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The subject matter corresponds to a  $\text{lecture with two semester hours per week (sh/w) and another sh/w of exercises}$.
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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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|submenu=
 
|submenu=
 
*[[/Classification of the Distortions/]]
 
*[[/Classification of the Distortions/]]
*[[/Nonlinear Distortion/]]
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*[[/Nonlinear Distortions/]]
 
*[[/Linear Distortions/]]
 
*[[/Linear Distortions/]]
 
}}
 
}}
{{Collapse3 | header=Description of Causal  Realisable Systems
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{{Collapse3 | header=Description of Causal  Realizable Systems
 
|submenu=
 
|submenu=
 
*[[/Conclusions from the Allocation Theorem/]]
 
*[[/Conclusions from the Allocation Theorem/]]
*[[/Laplace Transform and P-Transfer Function/]]
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*[[/Laplace Transform and p-Transfer Function/]]
 
*[[/Inverse Laplace Transform/]]
 
*[[/Inverse Laplace Transform/]]
 
}}
 
}}
 
{{Collapse4 | header=Properties of Electrical Cables
 
{{Collapse4 | header=Properties of Electrical Cables
 
|submenu=
 
|submenu=
*[[/Some Results from Transmission Line Theory/]]
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*[[/Some Results from Line Transmission Theory/]]  
 
*[[/Properties of Coaxial Cables/]]
 
*[[/Properties of Coaxial Cables/]]
*[[/Properties of Balanced Copper Pairs/]]
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*[[/Properties of Balanced Copper Pairs/]]  
 
}}
 
}}
 
{{Collapsible-Fuß}}
 
{{Collapsible-Fuß}}
  
Neben diesen Theorieseiten bieten wir zu diesem Thema auch Aufgaben und multimediale Module an, die zur Verdeutlichung des Lehrstoffes beitragen könnten:
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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/Category:Linear_and_Time-Invariant_Systems:_Exercises  $\text{Exercises}$]
 
*[https://en.lntwww.de/Category:Linear_and_Time-Invariant_Systems:_Exercises  $\text{Exercises}$]
*[[LNTwww:Lernvideos_zu_Lineare_zeitinvariante_Systeme|$\text{Lernvideos}$]]
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*[[LNTwww:Learning_Videos_to_Linear_and_Time_Invariant_Systems|$\text{Learning videos}$]]
*[[LNTwww:HTML5-Applets_zu_Lineare_zeitinvariante_Systeme|$\text{neu gestaltete Applets}$]]  (basierend auf HTML5 und JavaScript, auch auf Smartphones lauffähig)
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*[[LNTwww:LNTwww:Applets_to_"Linear_and_Time_Invariant_Systems"|$\text{Applets}$]]   
*[[LNTwww:SWF-Applets_zu_Lineare_zeitinvariante_Systeme|$\text{frühere Applets}$]]  (basierend auf SWF, lauffähig nur unter WINDOWS mit "Adobe Flash Player")
 
 
<br><br>
 
<br><br>
$\text{Weitere Links:}$
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$\text{Further links:}$
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<br><br>
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$(1)$&nbsp; &nbsp; [[LNTwww:Bibliography_to_Linear_and_Time_Invariant_Systems|$\text{Bibliography for the book}$]]
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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>
 
<br><br>
$(1)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Lineare_zeitinvariante_Systeme|$\text{Literaturempfehlungen zum Buch}$]]
 
  
$(2)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Lineare_zeitinvariante_Systeme|$\text{Allgemeine Hinweise zum Buch}$]] &nbsp; (Autoren,&nbsp; Weitere Beteiligte,&nbsp; Materialien als Ausgangspunkt des Buches,&nbsp; Quellenverzeichnis)
 
  
 
{{Display}}
 
{{Display}}

Latest revision as of 14:27, 22 November 2021

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  $\text{lecture with two semester hours per week (sh/w) and another sh/w of exercises}$.

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)