Fourier and Laplace Transforms (updated 4/2021)
Fourier and Laplace Transforms (updated 4/2021)
Genre: eLearning | MP4 | Video: h264, 1280x720 | Audio: aac, 48000 Hz
Language: English | VTT | Size: 5.81 GB | Duration: 9h 53m
Genre: eLearning | MP4 | Video: h264, 1280x720 | Audio: aac, 48000 Hz
Language: English | VTT | Size: 5.81 GB | Duration: 9h 53m
The Mathematics of the Fourier and Laplace Transforms
What you'll learn
You will gain both a geometric intuition into the Fourier and Laplace transforms and a thorough mathematical grounding as well.
Everything you learn will be backed up by Matlab simulations and an online graphical calculator.
If you really want to understand the Fourier and Laplace transforms , how they work and why they work then this is the course for you.
A unique 3D graphical approach has been adopted to provide the intuition required to OWN this subject.
Requirements
Basic calculus and some imagination and enthusiasm.
Description
This course is an introduction to the Fourier and Laplace transforms. I introduce this subject both geometrically to give a good intuition using matlab simulations and also in a more formal mathematical way. This course would be useful for those studying signals , systems , signal processing or any other discipline where the Fourier and Laplace transforms are used. The graphical geometric approach used is quite unique and provides a great foundation for continuing studies. If you really want to understand the Fourier and Laplace transforms and not just apply the methods mindlessly then this course is for you.
I can assure you that if you are willing to take the time to comprehend the mathematics then the effort will be rewarded ten fold. For example , Fourier transform (FT) , discrete time fourier transform (DTFT) , discrete frequency fourier transform (DFFT) , discrete time and frequency fourier transform , the fast fourier transform (FFT) , discrete versions of the Laplace transform (Z-transform). How are they all related ? IF YOU CAN SEE THE WOOD FROM THE TREES THEN YOU WILL BE MASTER OF ALL YOU SURVEY and practical implementations of the mathematical ideas will seem like child's play !!!
Who this course is for:
This is a course targeted toward those who really want to understand the Fourier and Laplace transforms from both an intuitive geometric and formal mathematical stance.