Explore the fundamental concepts and applications of the Laplace Transform in this comprehensive 90-minute tutorial. Delve into the Laplace Transform equation with clear explanations and practical examples. Gain a deep understanding of the Region of Convergence, widely regarded as one of the best explanations available. Learn how to apply the Laplace Transform to various functions, including exponentials and electric circuits. Discover when and why the Laplace Transform is necessary, and examine its relationship with poles and zeros. Investigate the connections between different transforms, such as Fourier Series, Fourier Transform, DTFT, DFT, FFT, and ZT. Understand the significance of negative poles in real stable LTI systems, and see how the Laplace Transform can be used to solve feedback systems.
Overview
Syllabus
Laplace Transform Equation Explained.
Laplace Transform Explained with an Example.
Laplace Transform Region of Convergence Explained ("THE best explanation I've seen").
Laplace Transform of Exponential Function.
Laplace Transform of Two Exponentials.
Laplace Transform of Exponential of Mod Time.
Laplace Transform Electric Circuit Example.
When do you need the Laplace Transform?.
How do Poles and Zeros affect the Laplace Transform and the Fourier Transform?.
How are the Fourier Series, Fourier Transform, DTFT, DFT, FFT, LT and ZT Related?.
Why are Poles Negative in Laplace Transform of Real Stable LTI Systems?.
Laplace Transform Solution to a Feedback System.
Taught by
Iain Explains Signals, Systems, and Digital Comms
