Difference between revisions of "Signal Representation"
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− | The book focuses on the mathematical description of typical signals in | + | 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> (for example: Laplace transform, Z-transform, Hilbert transform). | *The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book <br> (for example: Laplace transform, Z-transform, Hilbert transform). | ||
− | *Here we refer to the book [[Lineare_zeitinvariante_Systeme| | + | *Here we refer to the book [[Lineare_zeitinvariante_Systeme|"Linear and Time-Invariant Systems"]] . |
− | The subject matter corresponds to a $\text{lecture with two semester hours per week ( | + | 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 $\text{19 individual chapters}$. | Here is a table of contents based on the $\text{five main chapters}$ with a total of $\text{19 individual chapters}$. | ||
− | === | + | ===Contents=== |
{{Collapsible-Kopf}} | {{Collapsible-Kopf}} | ||
{{Collapse1| header=Basic Terms of Communications Engineering | {{Collapse1| header=Basic Terms of Communications Engineering | ||
Line 14: | Line 14: | ||
*[[/Principles of Communication/]] | *[[/Principles of Communication/]] | ||
*[[/Signal Classification/]] | *[[/Signal Classification/]] | ||
− | *[[/Calculating | + | *[[/Calculating with Complex Numbers/]] |
}} | }} | ||
{{Collapse2 | header=Periodic Signals | {{Collapse2 | header=Periodic Signals | ||
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{{Collapse3 | header=Aperiodic Signals - Pulses | {{Collapse3 | header=Aperiodic Signals - Pulses | ||
|submenu= | |submenu= | ||
− | *[[/Fourier Transform and | + | *[[/Fourier Transform and its Inverse/]] |
*[[/Special Cases of Pulses/]] | *[[/Special Cases of Pulses/]] | ||
*[[/Fourier Transform Theorems/]] | *[[/Fourier Transform Theorems/]] | ||
*[[/The Convolution Theorem and Operation/]] | *[[/The Convolution Theorem and Operation/]] | ||
}} | }} | ||
− | {{Collapse4 | header= | + | {{Collapse4 | header=Band-Pass Signals |
|submenu= | |submenu= | ||
− | *[[/Differences and Similarities of | + | *[[/Differences and Similarities of Low-Pass and Band-Pass Signals/]] |
− | *[[/Analytical Signal and | + | *[[/Analytical Signal and its Spectral Function/]] |
− | *[[/Equivalent Low Pass Signal and | + | *[[/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= | ||
− | *[[/Time | + | *[[/Discrete-Time Signal Representation/]] |
*[[/Discrete Fourier Transform (DFT)/]] | *[[/Discrete Fourier Transform (DFT)/]] | ||
− | *[[/Possible Errors | + | *[[/Possible Errors when using DFT/]] |
*[[/Spectrum Analysis/]] | *[[/Spectrum Analysis/]] | ||
*[[/Fast Fourier Transform (FFT)/]] | *[[/Fast Fourier Transform (FFT)/]] | ||
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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: | 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:Signal_Representation:_Exercises $\text{Exercises}$] |
− | *[[LNTwww: | + | *[[LNTwww:Learning_Videos_Related_to_Signal_Representation|$\text{Learning videos}$]] |
− | *[[LNTwww:Applets_Related_to_Signal_Representation|$\text{ | + | *[[LNTwww:Applets_Related_to_Signal_Representation|$\text{Applets}$]] |
<br><br> | <br><br> | ||
$\text{Further links:}$ | $\text{Further links:}$ | ||
<br><br> | <br><br> | ||
− | $(1)$ [[LNTwww: | + | $(1)$ [[LNTwww:Bibliography_to_Signal_Representation|$\text{Bibliography for the book}$]] |
− | $(2)$ [[LNTwww: | + | $(2)$ [[LNTwww:General_notes_about_Signal_Representation|$\text{General notes about the book}$]] (authors, other participants, materials as a starting point for the book, list of sources) |
<br><br> | <br><br> | ||
Revision as of 17:53, 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)