Signals and systems

The course has the following core subjects:•Representation of periodical signals in the time domain and frequency domain
•Sampling of continuous-time to discrete-time signals and the concept of aliasing
•Finite impulse response filters: unit impulse (or delta function), impulse response and convolution
•Linear dynamical systems modeling using differential equations and transfer functions
•Calculation of the output of a linear dynamical system using convolution and the Laplace transform
•Poles, zeros and stability analysis of linear dynamical systems
•Principles of feedback control and design of PID controllers

After completing this course the student will be able to:• Represent continuous-time sinusoidal signals as time-dependent complex exponentials using phasors;
• Understand the relation between periodical signals in the time- and frequency-domain and calculate the spectral representation of a signal in the time-domain using Fourier theory, and vice versa;
• Calculate the (ideal) conversion from a continuous-time signal to a discrete-time signal and vice versa and understand the sampling theorem;
• Analyze the result of filtering discrete-time signals with Finite Impulse Response filters and understand the concepts impulse response and convolution;
• Model linear dynamical systems using input-output representations (differential equations and transfer functions);
• Calculate the output of a linear dynamical system to various input signals using convolution and the Laplace transform;
• Understand the concepts of poles, zeros and analyze stability of linear dynamical systems;
•Understand the concept of feedback control and design PID feedback controllers;
•Analyze simple signals and systems in Matlab.

2WBB0 - Calculus variant 2

• will be made available in Canvas
• DSP First: A Multimedia Approach
• Feedback Control of Dynamic Systems