Progress thanks to @IgnorantGod Laplace transformations and Fourier transformations
Application of laplace transformation to the acoustic modeling
Application of laplace transformation to the acoustic modeling
Quote:The Laplace transform is named after mathematician and astronomer Pierre-Simonhttps://www.academia.edu/23688950/Applic...c_modeling
Laplace, who used a similar transform (now called z-transform) in his work on probability
theory. The current widespread use of the transform came about soon after World War II
although it had been used in the 19th century by Abel, Larch, Heaviside, and Bromwich.
1.1: What is Laplace Transformation?
The Laplace transform is a widely used integral transform in mathematics and electrical
engineering named after Pierre-Simon Laplace that transforms a function of time into a
function of complex frequency.
1.2: What Does the Laplace Transform Do?
The main idea behind the Laplace Transformation is that we can solve an equation (or
system of equations) containing differential and integral terms by transforming the equation
in "t-space" to one in "s-space". This makes the problem much easier to solve. The kinds of
problems where the Laplace Transform is invaluable occur in electronics. You can take a
sneak preview in the Applications of Laplace section.