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Chapter 15

The Laplace Transform

Definition der Laplace-Transformation
Definition der Laplace-Transformation
The Laplace transform is a powerful mathematical tool that simplifies differential equations by converting them into algebraic expressions. Generally, the ...
Konvergenzbereich der Laplace-Transformation
Konvergenzbereich der Laplace-Transformation
The Region of Convergence (ROC) is a critical concept in signal processing and system analysis intricately linked to the Laplace transform. It signifies ...
Eigenschaften der Laplace-Transformation – I
Eigenschaften der Laplace-Transformation – I
The Laplace transform has several universal properties that simplify transforming a system from the time domain to the frequency domain. The first ...
Eigenschaften der Laplace-Transformation – II
Eigenschaften der Laplace-Transformation – II
Time Differentiation is a process that analyzes the rate of change of a function over time. It's like tracking the acceleration of a car; the faster ...
Pol und Systemstabilität
Pol und Systemstabilität
In analyzing audio systems, understanding transfer functions is crucial. The ratio of two polynomials represents the system's transfer function. Zeros ...
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