Difference between revisions of "Theory of Stochastic Signals"
From LNTwww
| Line 13: | Line 13: | ||
{{Collapse1| header=Probability Calculation | {{Collapse1| header=Probability Calculation | ||
| submenu= | | submenu= | ||
| − | *[[/ | + | *[[/Some Basic Definitions/]] |
| − | *[[/ | + | *[[/Set Theory Basics/]] |
| − | *[[/ | + | *[[/Statistical Dependence and Independence/]] |
| − | *[[/ | + | *[[/Markov Chains/]] |
}} | }} | ||
{{Collapse2 | header=Discrete Random Variables | {{Collapse2 | header=Discrete Random Variables | ||
|submenu= | |submenu= | ||
| − | *[[/ | + | *[[/From Random Experiment to Random Variable/]] |
| − | *[[/ | + | *[[/Moments of a Discrete Random Variable/]] |
| − | *[[/ | + | *[[/Binomial Distribution/]] |
*[[/Poissonverteilung/]] | *[[/Poissonverteilung/]] | ||
| − | *[[/ | + | *[[/Poisson Distribution/]] |
}} | }} | ||
{{Collapse3 | header=Continuous Random Variables | {{Collapse3 | header=Continuous Random Variables | ||
|submenu= | |submenu= | ||
| − | *[[/ | + | *[[/Probability Density Function/]] |
| − | *[[/ | + | *[[/Cumulative Distribution Function/]] |
*[[/Expected Values and Moments/]] | *[[/Expected Values and Moments/]] | ||
| − | *[[/ | + | *[[/Uniformly Distributed Random Variables/]] |
| − | *[[/ | + | *[[/Gaussian Distributed Random Variables/]] |
*[[/Exponentially Distributed Random Variables/]] | *[[/Exponentially Distributed Random Variables/]] | ||
| − | *[[/Further | + | *[[/Further Distributions/]] |
}} | }} | ||
{{Collapse4 | header=Random Variables with Statistical Dependence | {{Collapse4 | header=Random Variables with Statistical Dependence | ||
|submenu= | |submenu= | ||
| − | *[[/ | + | *[[/Two-Dimensional Random Variables/]] |
| − | *[[/ | + | *[[/Two-Dimensional Gaussian Random Variables/]] |
| − | *[[/ | + | *[[/Linear Combinations of Random Variables/]] |
*[[/Auto Correlation Function (ACF)/]] | *[[/Auto Correlation Function (ACF)/]] | ||
*[[/Power Density Spectrum (PDS)/]] | *[[/Power Density Spectrum (PDS)/]] | ||
| − | *[[/ | + | *[[/Cross-Correlation Function and Cross Power Density/]] |
| − | *[[/ | + | *[[/Generalization to N-Dimensional Random Variables/]] |
}} | }} | ||
{{Collapse5 | header=Filtering of Stochastic Signals | {{Collapse5 | header=Filtering of Stochastic Signals | ||
|submenu= | |submenu= | ||
| − | *[[/ | + | *[[/Stochastic System Theory/]] |
| − | *[[/ | + | *[[/Digital Filters/]] |
| − | *[[/ | + | *[[/Creation of Predefined ACF Properties/]] |
| − | *[[/Matched | + | *[[/Matched Filters/]] |
| − | *[[/ | + | *[[/Wiener–Kolmogorow Filter/]] |
}} | }} | ||
{{Collapsible-Fuß}} | {{Collapsible-Fuß}} | ||
Revision as of 16:01, 12 October 2021
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 the first two $\text{LNTwww}$ books, which include the representation of $\text{ Deterministic Signals}$ and the description of $\text{Linear Time-Invariant Systems}$ is helpful for understanding this book, but not required.
The course material corresponds to a $\text{lecture with three semester hours per week (SWS) and two SWS exercises}$.
Here, first, is an overview of the contents based on the $\text{five main chapters}$ with a total of $\text{28 individual chapters}$.
Content
Neben diesen Theorieseiten bieten wir auch Aufgaben und multimediale Module an, die zur Verdeutlichung des Lehrstoffes beitragen könnten:
- $\text{Exercises}$
- $\text{Lernvideos}$
- $\text{neu gestaltete Applets}$, basierend auf HTML5, auch auf Smartphones lauffähig:
- $\text{frühere Applets}$, basierend auf SWF, lauffähig nur unter WINDOWS mit Adobe Flash Player.
$\text{Weitere Links:}$
$(1)$ $\text{Literaturempfehlungen zum Buch}$
$(2)$ $\text{Allgemeine Hinweise zum Buch}$ (Autoren, Weitere Beteiligte, Materialien als Ausgangspunkt des Buches, Quellenverzeichnis)
