Difference between revisions of "Information Theory"
(5 intermediate revisions by one other user not shown) | |||
Line 12: | Line 12: | ||
− | === | + | ===Contents=== |
{{Collapsible-Kopf}} | {{Collapsible-Kopf}} | ||
{{Collapse1| header=Entropy of Discrete Sources | {{Collapse1| header=Entropy of Discrete Sources | ||
| submenu= | | submenu= | ||
*[[/Discrete Memoryless Sources/]] | *[[/Discrete Memoryless Sources/]] | ||
− | *[[/Sources with Memory/]] | + | *[[/Discrete Sources with Memory/]] |
*[[/Natural Discrete Sources/]] | *[[/Natural Discrete Sources/]] | ||
}} | }} | ||
Line 30: | Line 30: | ||
|submenu= | |submenu= | ||
*[[/Some Preliminary Remarks on Two-Dimensional Random Variables/]] | *[[/Some Preliminary Remarks on Two-Dimensional Random Variables/]] | ||
− | *[[/Different | + | *[[/Different Entropy Measures of Two-Dimensional Random Variables/]] |
*[[/Application to Digital Signal Transmission/]] | *[[/Application to Digital Signal Transmission/]] | ||
}} | }} | ||
{{Collapse4 | header=Information Theory for Continuous Random Variables | {{Collapse4 | header=Information Theory for Continuous Random Variables | ||
|submenu= | |submenu= | ||
− | *[[/Differential | + | *[[/Differential Entropy/]] |
− | *[[/AWGN | + | *[[/AWGN Channel Capacity for Continuous Input/]] |
− | *[[/AWGN | + | *[[/AWGN Channel Capacity for Discrete Input/]] |
}} | }} | ||
{{Collapsible-Fuß}} | {{Collapsible-Fuß}} |
Revision as of 10:57, 16 June 2021
Since the early beginnings of communications as an engineering discipline, many engineers and mathematicians have sought to find a quantitative measure of
- the $\rm Information$ (in general: "the knowledge of something") contained in a $\rm message$ (here we understand "a collection of symbols and/or states").
The (abstract) information is communicated by the (concrete) message and can be seen as an interpretation of a message.
Claude Elwood Shannon succeeded in 1948 in establishing a consistent theory of the information content of messages, which was revolutionary in its time and created a new, still highly topical field of science: the theory named after him $\text{Shannon's Information Theory}$.
The course material corresponds to a $\text{lecture with two semester hours per week (SWS) and one SWS exercise}$.
Here is a table of contents based on the $\text{four main chapters}$ with a total of $\text{13 individual chapters}$.
Contents
In addition to these theory pages, we also offer Exercises and multimedia modules that could help to clarify the teaching material:
- $\text{Exercises}$
- $\text{Learning videos}$
- $\text{redesigned applets}$, based on HTML5, also executable on smartphones
- $\text{former Applets}$, based on SWF, executable only under WINDOWS with Adobe Flash Player.
$\text{More links:}$
$(1)$ $\text{Recommended literature for the book}$
$(2)$ $\text{General notes about the book}$ (Authors, other participants, materials as a starting point for the book, list of sources)