Difference between revisions of "Theory of Stochastic Signals"
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| + | $\Rightarrow \hspace{0.5cm}\text{The translation of this book to English is in progress. The first $3$ chapters are completed.}$ | ||
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This third book of our learning tutorial deals in detail with stochastic signals and their modeling. | This third book of our learning tutorial deals in detail with stochastic signals and their modeling. | ||
*Knowledge of $\text{stochastic signal theory}$ is an important prerequisite for understanding the following books, which focus on transmission aspects. | *Knowledge of $\text{stochastic signal theory}$ is an important prerequisite for understanding the following books, which focus on transmission aspects. | ||
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| − | The course material corresponds to a $\text{lecture with three semester hours per week ( | + | The course material corresponds to a $\text{lecture with three semester hours per week (sh/w) and two sh/w exercises}$. |
Here is a table of contents based on the $\text{five main chapters}$ with a total of $\text{28 individual chapters}$. | Here is a table of contents based on the $\text{five main chapters}$ with a total of $\text{28 individual chapters}$. | ||
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*[[/Moments of a Discrete Random Variable/]] | *[[/Moments of a Discrete Random Variable/]] | ||
*[[/Binomial Distribution/]] | *[[/Binomial Distribution/]] | ||
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*[[/Poisson Distribution/]] | *[[/Poisson Distribution/]] | ||
| + | *[[/Generation of Discrete Random Variables/]] | ||
}} | }} | ||
{{Collapse3 | header=Continuous Random Variables | {{Collapse3 | header=Continuous Random Variables | ||
|submenu= | |submenu= | ||
| − | *[[/Probability Density Function | + | *[[/Probability Density Function/]] |
| − | *[[/Cumulative Distribution Function | + | *[[/Cumulative Distribution Function/]] |
*[[/Expected Values and Moments/]] | *[[/Expected Values and Moments/]] | ||
*[[/Uniformly Distributed Random Variables/]] | *[[/Uniformly Distributed Random Variables/]] | ||
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*[[/Two-Dimensional Gaussian Random Variables/]] | *[[/Two-Dimensional Gaussian Random Variables/]] | ||
*[[/Linear Combinations of Random Variables/]] | *[[/Linear Combinations of Random Variables/]] | ||
| − | *[[/Auto Correlation Function | + | *[[/Auto-Correlation Function/]] |
| − | *[[/Power Density | + | *[[/Power-Spectral Density/]] |
| − | *[[/Cross-Correlation Function and Cross Power Density/]] | + | *[[/Cross-Correlation Function and Cross Power-Spectral Density/]] |
*[[/Generalization to N-Dimensional Random Variables/]] | *[[/Generalization to N-Dimensional Random Variables/]] | ||
}} | }} | ||
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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:Theory_of_Stochastic_Signals:_Exercises $\text{Exercises}$] | *[https://en.lntwww.de/Category:Theory_of_Stochastic_Signals:_Exercises $\text{Exercises}$] | ||
| − | *[[LNTwww: | + | *[[LNTwww:Learning_videos_to_Stochastic_Signal_Theory|$\text{Learning videos}$]] |
| − | *[[LNTwww: | + | *[[LNTwww:Applets_to_Stochastic_Signal_Theory|$\text{Applets}$]] |
<br><br> | <br><br> | ||
$\text{Other links:}$ | $\text{Other links:}$ | ||
| − | $(1)$ [[LNTwww: | + | $(1)$ [[LNTwww:Bibliography_to_Stochastic_Signal_Theory|$\text{Bibliography to the book}$]] |
| − | $(2)$ [[LNTwww: | + | $(2)$ [[LNTwww:General_Notes_about_the_Book_"Stochastic_Signal_Theory"|$\text{General notes about the book}$]] (authors, other participants, materials as a starting point for the book, list of sources) |
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{{Display}} | {{Display}} | ||
Revision as of 16:42, 17 March 2022
$\Rightarrow \hspace{0.5cm}\text{The translation of this book to English is in progress. The first $3$ chapters are completed.}$
This third book of our learning tutorial deals in detail with stochastic signals and their modeling.
- Knowledge of $\text{stochastic signal theory}$ is an important prerequisite for understanding the following books, which focus on transmission aspects.
- Knowledge of the first two $\text{LNTwww}$ books, which include the representation of $\text{ deterministic signals}$ and the description of $\text{LTI systems}$ ⇒ "linear and time-invariant systems" is helpful for understanding this book, but not required.
The course material corresponds to a $\text{lecture with three semester hours per week (sh/w) and two sh/w exercises}$.
Here is a table of contents based on the $\text{five main chapters}$ with a total of $\text{28 individual chapters}$.
Content
In addition to these theory pages, we also offer tasks and multimedia modules on this topic, which could help to clarify the teaching material:
$\text{Other links:}$
$(1)$ $\text{Bibliography to the book}$
$(2)$ $\text{General notes about the book}$ (authors, other participants, materials as a starting point for the book, list of sources)
