Semester Project and Analytical Assignments for the Signals and Systems course, during the 3rd semester of the School of Electrical and Computer Engineering at the National Technical University of Athens.
The semester project required the use of MATLAB to solve a set of problems. The project included the following tasks.
- Designing Low-Pass Filters (Moving Average Filter)
- Designing Band-Pass Filters
- Analysis of Musical Signals
- Synthesis of Musical Signals as a Sum of Sinusoids
There were 2 analytical assignments in total. Each one had a set of problems to be solved. The assignments covered the following topics.
- Signal Symmetry, Shifts and Periodicity
- Signal Linearity, Time Invariance, Memory, Causality and BIBO Stability
- Signal Convolution and Correlation
- Fourier Series and Fourier Transform
- Sampling Theorem
- Time Response and Frequency Response of LTI Systems
- Transfer Function of LTI Systems
- LTI Systems and Linear Differential and Difference Equations
- Laplace Transform
- Z-Transform
- Discrete-Time Fourier Transform