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Understanding the Z-Transform

This intuitive introduction shows the mathematics behind the Z-transform and compares it to its similar cousin, the discrete-time Fourier transform. Mathematically, the Z-transform is straightforward—it’s just a bunch of multiplications and additions, and you’ll learn how to solve an equation for a few different signals. However, understanding how to solve a Z-transform equation isn’t as important as understanding why the math is the way it is. Therefore, the majority of this tech talk discusses what you are actually doing when you take the Z-transform of a signal. Want to see all of the references in a nice, organized list? Check out this journey on Resourcium: https://bit.ly/3DeS8DX Check out these links to learn more about Z-transform: - DTFT visualization MATLAB App: https://bit.ly/DTFT_MATLAB_App - MATLAB Documentation: Discrete Fourier Transform: https://bit.ly/3NfFtGV - MATLAB Function, ztrans: https://bit.ly/40MSnjy - Creating Discrete-Time Models: https://bit.ly/438xsZZ Chapters: 00:00 Introduction 01:11 Solving z-transform examples 5:00 Intuition behind the Discrete Time Fourier Transform 11:37 Intuition behind the z-transform 19:18 Related videos -------------------------------------------------------------------------------------------------------- Get a free product trial: https://goo.gl/ZHFb5u Learn more about MATLAB: https://goo.gl/8QV7ZZ Learn more about Simulink: https://goo.gl/nqnbLe See what's new in MATLAB and Simulink: https://goo.gl/pgGtod © 2023 The MathWorks, Inc. MATLAB and Simulink are registered trademarks of The MathWorks, Inc. See www.mathworks.com/trademarks for a list of additional trademarks. Other product or brand names may be trademarks or registered trademarks of their respective holders.