# Difference between revisions of "Linear and Time Invariant Systems"

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Based on the book [[Signaldarstellung|$\text{Signal Representation}$]], it is described how to mathematically capture the influence of a filter on deterministic signals. | Based on the book [[Signaldarstellung|$\text{Signal Representation}$]], it is described how to mathematically capture the influence of a filter on deterministic signals. | ||

*The book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads. | *The book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads. | ||

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− | The subject matter corresponds to a $\text{lecture with two semester hours per week ( | + | The subject matter corresponds to a $\text{lecture with two semester hours per week (sh/w) and another sh/w of exercises}$. |

First of all, here is an overview of the contents based on the $\text{four main chapters}$ with a total of $\text{twelve individual chapters}$. | First of all, here is an overview of the contents based on the $\text{four main chapters}$ with a total of $\text{twelve individual chapters}$. | ||

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|submenu= | |submenu= | ||

*[[/Classification of the Distortions/]] | *[[/Classification of the Distortions/]] | ||

− | *[[/Nonlinear | + | *[[/Nonlinear Distortions/]] |

*[[/Linear Distortions/]] | *[[/Linear Distortions/]] | ||

}} | }} | ||

− | {{Collapse3 | header=Description of Causal | + | {{Collapse3 | header=Description of Causal Realizable Systems |

|submenu= | |submenu= | ||

*[[/Conclusions from the Allocation Theorem/]] | *[[/Conclusions from the Allocation Theorem/]] | ||

− | *[[/Laplace Transform and | + | *[[/Laplace Transform and p-Transfer Function/]] |

*[[/Inverse Laplace Transform/]] | *[[/Inverse Laplace Transform/]] | ||

}} | }} | ||

{{Collapse4 | header=Properties of Electrical Cables | {{Collapse4 | header=Properties of Electrical Cables | ||

|submenu= | |submenu= | ||

− | *[[/Some Results from Transmission | + | *[[/Some Results from Line Transmission Theory/]] |

*[[/Properties of Coaxial Cables/]] | *[[/Properties of Coaxial Cables/]] | ||

− | *[[/Properties of Balanced Copper Pairs/]] | + | *[[/Properties of Balanced Copper Pairs/]] |

}} | }} | ||

{{Collapsible-Fuß}} | {{Collapsible-Fuß}} | ||

− | In addition to these theory pages, we also offer | + | 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:Linear_and_Time-Invariant_Systems:_Exercises $\text{Exercises}$] | *[https://en.lntwww.de/Category:Linear_and_Time-Invariant_Systems:_Exercises $\text{Exercises}$] | ||

− | *[[LNTwww: | + | *[[LNTwww:Learning_Videos_to_Linear_and_Time_Invariant_Systems|$\text{Learning videos}$]] |

− | *[[LNTwww: | + | *[[LNTwww:LNTwww:Applets_to_"Linear_and_Time_Invariant_Systems"|$\text{Applets}$]] |

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<br><br> | <br><br> | ||

− | $\text{ | + | $\text{Further links:}$ |

+ | <br><br> | ||

+ | $(1)$ [[LNTwww:Bibliography_to_Linear_and_Time_Invariant_Systems|$\text{Bibliography for the book}$]] | ||

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+ | $(2)$ [[LNTwww:General_notes_about_"Linear_and_Time_Invariant_Systems"|$\text{General notes about the book}$]] (authors, other participants, materials as a starting point for the book, list of sources) | ||

<br><br> | <br><br> | ||

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{{Display}} | {{Display}} |

## Latest revision as of 14:27, 22 November 2021

Based on the book $\text{Signal Representation}$, it is described how to mathematically capture the influence of a filter on deterministic signals.

- The book defines distortions and describes the Laplace transform for causal systems as well as the properties of electric leads.
- The filter influence on a random signal is covered later in Chapter 5 of the book $\text{Theory of Stochastic Signals}$ .

The subject matter corresponds to a $\text{lecture with two semester hours per week (sh/w) and another sh/w of exercises}$.

First of all, here is an overview of the contents based on the $\text{four main chapters}$ with a total of $\text{twelve individual chapters}$.

### 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:

$\text{Further links:}$

$(1)$ $\text{Bibliography for the book}$

$(2)$ $\text{General notes about the book}$ (authors, other participants, materials as a starting point for the book, list of sources)