Difference between revisions of "Signal Representation"

From LNTwww
(39 intermediate revisions by 4 users not shown)
Line 1: Line 1:
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;.
+
*Here we refer to the book&nbsp;[[Lineare_zeitinvariante_Systeme|"Linear and Time-Invariant Systems"]]&nbsp;.
  
  
The subject matter corresponds to a&nbsp; $\text{lecture with two semester hours per week (SWS) and one additional SWS exercise}$.   
+
The subject matter corresponds to a&nbsp; $\text{lecture with two semester hours per week (sh/w) and one additional&nbsp; sh/w&nbsp; exercise}$.   
  
 
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===
+
===Contents===
 
{{Collapsible-Kopf}}
 
{{Collapsible-Kopf}}
 
{{Collapse1| header=Basic Terms of Communications Engineering
 
{{Collapse1| header=Basic Terms of Communications Engineering
 
| submenu=  
 
| submenu=  
 
*[[/Principles of Communication/]]
 
*[[/Principles of Communication/]]
*[[/Klassifizierung von Signalen/]]
+
*[[/Signal Classification/]]
*[[/Zum Rechnen mit komplexen Zahlen/]]
+
*[[/Calculating with Complex Numbers/]]
 
}}
 
}}
 
{{Collapse2 | header=Periodic Signals
 
{{Collapse2 | header=Periodic Signals
 
|submenu=
 
|submenu=
*[[/Allgemeine Beschreibung/]]
+
*[[/General Description/]]
*[[/Gleichsignal - Grenzfall eines periodischen Signals/]]
+
*[[/Direct Current Signal - Limit Case of a Periodic Signal/]]
*[[/Harmonische Schwingung/]]
+
*[[/Harmonic Oscillation/]]
*[[/Fourierreihe/]]
+
*[[/Fourier Series/]]
 
}}
 
}}
{{Collapse3 | header=Aperiodic Signals - Impulses
+
{{Collapse3 | header=Aperiodic Signals - Pulses
 
|submenu=
 
|submenu=
*[[/Fouriertransformation und -rücktransformation/]]
+
*[[/Fourier Transform and its Inverse/]]
*[[/Einige Sonderfälle impulsartiger Signale/]]
+
*[[/Special Cases of Pulses/]]
*[[/Gesetzmäßigkeiten der Fouriertransformation/]]
+
*[[/Fourier Transform Theorems/]]
*[[/Faltungssatz und Faltungsoperation/]]
+
*[[/The Convolution Theorem and Operation/]]
 
}}
 
}}
{{Collapse4 | header=Bandpass Signals
+
{{Collapse4 | header=Band-Pass Signals
 
|submenu=
 
|submenu=
*[[/Unterschiede und Gemeinsamkeiten von TP- und BP-Signalen/]]
+
*[[/Differences and Similarities of Low-Pass and Band-Pass Signals/]]
*[[/Analytisches Signal und zugehörige Spektralfunktion/]]
+
*[[/Analytical Signal and its Spectral Function/]]
*[[/Äquivalentes Tiefpass-Signal und zugehörige Spektralfunktion/]]
+
*[[/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/]]
+
*[[/Discrete-Time Signal Representation/]]
*[[/Diskrete Fouriertransformation (DFT)/]]
+
*[[/Discrete Fourier Transform (DFT)/]]
*[[/Fehlermöglichkeiten bei Anwendung der DFT/]]
+
*[[/Possible Errors when using DFT/]]
*[[/Spektralanalyse/]]
+
*[[/Spectrum Analysis/]]
*[[/Fast-Fouriertransformation (FFT)/]]
+
*[[/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 $\text{Aufgaben}$]
+
*[https://en.lntwww.de/Category:Signal_Representation:_Exercises  $\text{Exercises}$]
*[[LNTwww:Lernvideos_zu_Signaldarstellung|$\text{Lernvideos}$]]
+
*[[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)
+
*[[LNTwww:Applets_Related_to_Signal_Representation|$\text{Applets}$]]&nbsp;  
 
<br><br>
 
<br><br>
 
$\text{Further links:}$
 
$\text{Further links:}$
 
<br><br>
 
<br><br>
$(1)$&nbsp; &nbsp; [[LNTwww:Literaturempfehlung_zu_Signaldarstellung|$\text{Recommended reading for the book}$]]
+
$(1)$&nbsp; &nbsp; [[LNTwww:Bibliography_to_Signal_Representation|$\text{Bibliography for the book}$]]
  
$(2)$&nbsp; &nbsp; [[LNTwww:Weitere_Hinweise_zum_Buch_Signaldarstellung|$\text{General notes about the book}$]] &nbsp; (authors,&nbsp; other participants,&nbsp; materials as a starting point for the book,&nbsp; list of sources)
+
$(2)$&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)
 
<br><br>
 
<br><br>
  

Revision as of 16:53, 1 November 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 "Linear and Time-Invariant Systems" .


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

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:



$\text{Further links:}$

$(1)$    $\text{Bibliography for the book}$

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