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 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. |
| − | *Knowledge of the first two $\text{LNTwww}$ books, which include the representation of [[Signal Representation|$\text{ | + | *Knowledge of the first two $\text{LNTwww}$ books, which include the representation of [[Signal Representation|$\text{ deterministic signals}$]] and the description of [[Linear_and_Time_Invariant_Systems|$\text{LTI systems}$]] ⇒ "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 ( | + | The course material corresponds to a $\text{lecture with three semester hours per week (sh/w) and two sh/w exercises}$. |
| − | Here | + | 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/]] | ||
| − | |||
*[[/Poisson Distribution/]] | *[[/Poisson Distribution/]] | ||
| + | *[[/Generation of Discrete Random Variables/]] | ||
}} | }} | ||
{{Collapse3 | header=Continuous Random Variables | {{Collapse3 | header=Continuous 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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*[[/Digital Filters/]] | *[[/Digital Filters/]] | ||
*[[/Creation of Predefined ACF Properties/]] | *[[/Creation of Predefined ACF Properties/]] | ||
| − | *[[/Matched | + | *[[/Matched Filter/]] |
*[[/Wiener–Kolmogorow Filter/]] | *[[/Wiener–Kolmogorow Filter/]] | ||
}} | }} | ||
{{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: | |
*[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> | |
| + | $\text{Other links:}$ | ||
| + | $(1)$ [[LNTwww:Bibliography_to_Stochastic_Signal_Theory|$\text{Bibliography to the book}$]] | ||
| + | |||
| + | $(2)$ [[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) | ||
<br><br> | <br><br> | ||
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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)
