Z-Transform - Practical Applications - Phil's Lab #27

Covering practical applications of the Z-transform used in digital signal processing, for example, stability analysis and frequency response of discrete-time systems. Theory, C code, and implementation on a real-world embedded system (STM32 microcontroller). Free trial of Altium Designer: Visit for $2 for five 2-layer PCBs and $5 for five 4-layer PCBs. Patreon: Git: Z-Transform introduction: [TIMESTAMPS] 00:00 Introduction 00:26 LittleBrain PCB 00:40 JLCPCB 01:05 Altium Designer Free Trial 01:44 Overview 03:14 How to Take Z-Transform? 07:05 Poles and Zeros 07:57 Stability Analysis 10:26 Example: IIR Filter Stability 12:35 STM32 Set-Up Code (STM32CubeIDE) 15:13 Implementation - Stable Filter 16:40 Implementation - Unstable Filter 17:54 Frequency Response Analysis 20:54 Example: IIR Filter Frequency Response 22:24 Octave (Matlab Alternative) - Bode Plots 23:14 Z-Transform Tips (Frequency Response) 23:52 Implementation - Frequency Response ID: QIBvbJtYjWuHiTG0uCoK