Difference between revisions of "Signal Representation"

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The book focuses on the mathematical description of typical signals in communications engineering, which can alternatively be in the time or frequency domain.  
 
The book focuses on the mathematical description of typical signals in communications engineering, which can alternatively be in the time or frequency domain.  
 
*The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book <br>&nbsp; &nbsp; (for example:&nbsp; Laplace transform,&nbsp; Z-transform,&nbsp; Hilbert transform).  
 
*The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book <br>&nbsp; &nbsp; (for example:&nbsp; Laplace transform,&nbsp; Z-transform,&nbsp; Hilbert transform).  
*Here we refer to the book&nbsp;[[Lineare_zeitinvariante_Systeme|$\text{Linear and Time Invariant Systems}$]]&nbsp;.
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*Here we refer to the book&nbsp;[[Lineare_zeitinvariante_Systeme|$\text{Linear and Time-Invariant Systems}$]]&nbsp;.
  
  
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Here is a table of contents based on the&nbsp; $\text{five main chapters}$&nbsp; with a total of&nbsp; $\text{19 individual chapters}$.
 
Here is a table of contents based on the&nbsp; $\text{five main chapters}$&nbsp; with a total of&nbsp; $\text{19 individual chapters}$.
  
===Inhalt===
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===Contents===
 
{{Collapsible-Kopf}}
 
{{Collapsible-Kopf}}
 
{{Collapse1| header=Basic Terms of Communications Engineering
 
{{Collapse1| header=Basic Terms of Communications Engineering
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*[[/Principles of Communication/]]
 
*[[/Principles of Communication/]]
 
*[[/Signal Classification/]]
 
*[[/Signal Classification/]]
*[[/Calculating With Complex Numbers/]]
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*[[/Calculating with Complex Numbers/]]
 
}}
 
}}
 
{{Collapse2 | header=Periodic Signals
 
{{Collapse2 | header=Periodic Signals
 
|submenu=
 
|submenu=
 
*[[/General Description/]]
 
*[[/General Description/]]
*[[/Gleichsignal - Grenzfall eines periodischen Signals/]]
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*[[/Direct Current Signal - Limit Case of a Periodic Signal/]]
*[[/Harmonische Schwingung/]]
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*[[/Harmonic Oscillation/]]
*[[/Fourierreihe/]]
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*[[/Fourier Series/]]
 
}}
 
}}
{{Collapse3 | header=Aperiodic Signals - Impulses
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{{Collapse3 | header=Aperiodic Signals - Pulses
 
|submenu=
 
|submenu=
*[[/Fouriertransformation und -rücktransformation/]]
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*[[/Fourier Transform and its Inverse/]]
*[[/Einige Sonderfälle impulsartiger Signale/]]
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*[[/Special Cases of Pulses/]]
*[[/Gesetzmäßigkeiten der Fouriertransformation/]]
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*[[/Fourier Transform Theorems/]]
*[[/Faltungssatz und Faltungsoperation/]]
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*[[/The Convolution Theorem and Operation/]]
 
}}
 
}}
{{Collapse4 | header=Bandpass Signals
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{{Collapse4 | header=Band-Pass Signals
 
|submenu=
 
|submenu=
*[[/Unterschiede und Gemeinsamkeiten von TP- und BP-Signalen/]]
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*[[/Differences and Similarities of Low-Pass and Band-Pass Signals/]]
*[[/Analytisches Signal und zugehörige Spektralfunktion/]]
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*[[/Analytical Signal and its Spectral Function/]]
*[[/Äquivalentes Tiefpass-Signal und zugehörige Spektralfunktion/]]
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*[[/Equivalent Low-Pass Signal and its Spectral Function/]]
 
}}
 
}}
 
{{Collapse5 | header=Time and Frequency-Discrete Signal Representation
 
{{Collapse5 | header=Time and Frequency-Discrete Signal Representation
 
|submenu=
 
|submenu=
*[[/Zeitdiskrete Signaldarstellung/]]
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*[[/Time Discrete Signal Representation/]]
*[[/Diskrete Fouriertransformation (DFT)/]]
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*[[/Discrete Fourier Transform (DFT)/]]
*[[/Fehlermöglichkeiten bei Anwendung der DFT/]]
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*[[/Possible Errors when using DFT/]]
*[[/Spektralanalyse/]]
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*[[/Spectrum Analysis/]]
*[[/Fast-Fouriertransformation (FFT)/]]
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*[[/Fast Fourier Transform (FFT)/]]
 
}}
 
}}
 
{{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:
 
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/Kategorie:Aufgaben_zu_Signaldarstellung $\text{Aufgaben}$]
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*[https://en.lntwww.de/Category:Signal_Representation:_Exercises  $\text{Exercises}$]
*[[LNTwww:Lernvideos_zu_Signaldarstellung|$\text{Lernvideos}$]]
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*[[LNTwww:Learning_Videos_Related_to_Signal_Representation|$\text{Learning videos}$]]
*[[LNTwww:HTML5_zu_Signaldarstellung|$\text{Neu gestaltete Applets}$]]&nbsp; (based on HTML5 and JavaScript, also executable on smartphones)
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*[[LNTwww:Applets_Related_to_Signal_Representation|$\text{New designed Applets}$]]&nbsp; (based on HTML5 and JavaScript, also executable on smartphones)
 
<br><br>
 
<br><br>
 
$\text{Further links:}$
 
$\text{Further links:}$

Revision as of 11:38, 15 June 2021

The book focuses on the mathematical description of typical signals in communications engineering, which can alternatively be in the time or frequency domain.

  • The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book
        (for example:  Laplace transform,  Z-transform,  Hilbert transform).
  • Here we refer to the book $\text{Linear and Time-Invariant Systems}$ .


The subject matter corresponds to a  $\text{lecture with two semester hours per week (SWS) and one additional SWS exercise}$.

Here is a table of contents based on the  $\text{five main chapters}$  with a total of  $\text{19 individual chapters}$.

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:



$\text{Further links:}$

$(1)$    $\text{Recommended reading for the book}$

$(2)$    $\text{General notes about the book}$   (authors,  other participants,  materials as a starting point for the book,  list of sources)