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> (for example: Laplace 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|$\text{Linear and Time Invariant Systems}$]] . | + | *Here we refer to the book [[Lineare_zeitinvariante_Systeme|$\text{Linear and Time-Invariant Systems}$]] . |
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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= | + | {{Collapse1| header=Basic Terms of Communications Engineering |
| submenu= | | submenu= | ||
− | *[[/ | + | *[[/Principles of Communication/]] |
− | *[[/ | + | *[[/Signal Classification/]] |
− | *[[/ | + | *[[/Calculating with Complex Numbers/]] |
}} | }} | ||
− | {{Collapse2 | header= | + | {{Collapse2 | header=Periodic Signals |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/General Description/]] |
− | *[[/ | + | *[[/Direct Current Signal - Limit Case of a Periodic Signal/]] |
− | *[[/ | + | *[[/Harmonic Oscillation/]] |
− | *[[/ | + | *[[/Fourier Series/]] |
}} | }} | ||
− | {{Collapse3 | header= | + | {{Collapse3 | header=Aperiodic Signals - Pulses |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Fourier Transform and its Inverse/]] |
− | *[[/ | + | *[[/Special Cases of Pulses/]] |
− | *[[/ | + | *[[/Fourier Transform Theorems/]] |
− | *[[/ | + | *[[/The Convolution Theorem and Operation/]] |
}} | }} | ||
− | {{Collapse4 | header= | + | {{Collapse4 | header=Band-Pass Signals |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Differences and Similarities of Low-Pass and Band-Pass Signals/]] |
− | *[[/ | + | *[[/Analytical Signal and its Spectral Function/]] |
− | *[[/ | + | *[[/Equivalent Low-Pass Signal and its Spectral Function/]] |
}} | }} | ||
− | {{Collapse5 | header= | + | {{Collapse5 | header=Time and Frequency-Discrete Signal Representation |
|submenu= | |submenu= | ||
− | *[[/ | + | *[[/Time Discrete Signal Representation/]] |
− | *[[/ | + | *[[/Discrete Fourier Transform (DFT)/]] |
− | *[[/ | + | *[[/Possible Errors when using DFT/]] |
− | *[[/ | + | *[[/Spectrum Analysis/]] |
− | *[[/Fast | + | *[[/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/ | + | *[https://en.lntwww.de/Category:Signal_Representation:_Exercises $\text{Exercises}$] |
− | *[[LNTwww: | + | *[[LNTwww:Learning_Videos_Related_to_Signal_Representation|$\text{Learning videos}$]] |
− | *[[LNTwww: | + | *[[LNTwww:Applets_Related_to_Signal_Representation|$\text{New designed Applets}$]] (based on HTML5 and JavaScript, also executable on smartphones) |
<br><br> | <br><br> | ||
$\text{Further links:}$ | $\text{Further links:}$ | ||
<br><br> | <br><br> | ||
− | $(1)$ [[LNTwww:Literaturempfehlung_zu_Signaldarstellung|$\text{ | + | $(1)$ [[LNTwww:Literaturempfehlung_zu_Signaldarstellung|$\text{Recommended reading for the book}$]] |
− | $(2)$ [[LNTwww:Weitere_Hinweise_zum_Buch_Signaldarstellung|$\text{ | + | $(2)$ [[LNTwww:Weitere_Hinweise_zum_Buch_Signaldarstellung|$\text{General notes about the book}$]] (authors, other participants, materials as a starting point for the book, list of sources) |
<br><br> | <br><br> | ||
Revision as of 12:38, 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:
- $\text{Exercises}$
- $\text{Learning videos}$
- $\text{New designed Applets}$ (based on HTML5 and JavaScript, also executable on smartphones)
$\text{Further links:}$
$(1)$ $\text{Recommended reading for the book}$
$(2)$ $\text{General notes about the book}$ (authors, other participants, materials as a starting point for the book, list of sources)