Laplace-Transformation und Wellenmechanik

Laplace transformation updated

The traditional theory of Laplace transformation (TLT) as it was put forward by Gustav Doetsch was principally intended to provide an operator calculus for ordinary derivable functions of the t-domain. As TLT does not account for the behavior of the inverse L-transform at t = 0 its validity is essentially confined to t > 0. However, from solutions of linear differential equations (DEs) one can ...

2-D Laplace-Z Transformation

Based on recent results for 2-D continuous-discrete systems, this paper develops 2-D Laplace-z transform, which can be used to analyze 2-D continuous-discrete signals and system in Laplace-z hybrid domain. Current 1-D Laplace transformation and z transform can be combined into the new 2-D s-z transform. However, 2-D s-z transformation is not a simple extension of 1D transform, in 2-D case, we n...

Fast impedance measurement method using Laplace transformation

The paper presents the impedance measurement method using a real-life step pulse as a perturbation signal and Laplace transformation as a tool for analyzing the response of the object under test. The method is addressed to explore different technical object (like anticorrosion coatings, gas sensors, ceramics, dielectrics biological tissues etc.) when the measurement time cannot be long. The pre...

"Digitale Transformation" und Anforderungserhebung ("Digital Transformation" and Requirements Engineering)

Many companies are currently facing major changes and challenges in their traditional businesses. On the one hand, their traditional business models are shaken and new market participants with innovative business models are successfully on the market. On the other hand, this change creates great opportunities and potential for companies. This paper gives an overview of the elements and approach...

Inversion numérique de la transformation de Laplace-Carson