Introduction to Digital Filter Design

From discrete-time systems and the z-transform to FIR and IIR filters

Learning Objectives

  • Understand the basic concepts of discrete-time systems
  • Learn the z-transform and its properties
  • Grasp the difference between FIR and IIR filters
  • Understand the basics of frequency response

Table of Contents

Part 1: Discrete-Time Systems

  1. 1 Fundamentals of Discrete-Time Systems Sampling, quantization, LTI systems
  2. 2 Difference Equations Mathematical representation of digital filters

Part 2: The z-Transform

  1. 3 Definition and Properties of the z-Transform Two-sided z-transform, region of convergence, basic properties
  2. 4 Transfer Functions System functions, poles and zeros

Part 3: Classification of Filters

  1. 5 FIR vs. IIR Filters Structural differences, advantages and disadvantages
  2. 6 Frequency Response Magnitude response, phase response, group delay
  3. 7 How to Draw Block Diagrams Basic elements (addition, multiplication, delay), connections and branches, transfer-function blocks
  4. 8 Applications of Block Diagrams Feedback loops, Direct Form I/II