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Chapter 15

The Laplace Transform

Определение преобразования Лапласа
Определение преобразования Лапласа
The Laplace transform is a powerful mathematical tool that simplifies differential equations by converting them into algebraic expressions. Generally, the ...
Область конвергенции Laplace Tarnsform
Область конвергенции Laplace Tarnsform
The Region of Convergence (ROC) is a critical concept in signal processing and system analysis intricately linked to the Laplace transform. It signifies ...
Свойства Laplace Transform-I
Свойства Laplace Transform-I
The Laplace transform has several universal properties that simplify transforming a system from the time domain to the frequency domain. The first ...
Свойства Laplace Transform-II
Свойства Laplace Transform-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 ...
Устойчивость полюсов и системы
Устойчивость полюсов и системы
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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