Mathematical Systems and Signal Processing

Course Purpose
This course has the purpose to understand the basic system and signal processing such as linear systems, the Fourier series/transformation, z-transormations, the sampling theorm, and filters.
Learning Goals
Students should be able to understand the concept of linear systems, the Fourier series, the Fourie transformation, the z-transformations, the sampling theorem, and filters.
Topic
Session 1Mathematical Preparation
Session 2Introduction to Signals and Systems
Session 3Discrete-time linear time-invariant systems and their recursive equation representations
Session 4Fourier series
Session 5Fourier transform
Session 6Properties of Fourier Transform and Discrete Fourier Transform
Session 7FFT
Session 8z-Conversion Basics
Session 9Expansion of z-transform and transfer function representation of the system
Session 10Dirac's delta function and continuous-time linear time-invariant systems
Session 11sampling theorem
Session 12Window functions and signal cutouts
Session 13Introduction to Filters
Session 14Filter design and implementation
＊＊This content is based on April 1, 2025. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊