# ING2055 Signals and Systems

## Course description for academic year 2020/2021

### Contents and structure

Course description: Basic understanding of linear systems, both for continuous and discrete time. This is an important tool for understanding physical systems, in addition to processing various kinds of measuring signals. Computing tools (Matlab/Simulink) is used actively throughout the course to work with signals and analyze Control systems.

Course content: Concepts of discrete and continuous time signals and systems (incl. linearity, time invariance, causality and stability). Convolution (folding), difference and differential equations, impulse response, transforms (Fourier-, Z- and Laplace transform), frequency analysis, transfer functions and frequency response. Application of these concepts on control systems.

### Learning Outcome

Knowledge: Understands and is able to communicate the connection between time continuous and time discrete signals and what role time discrete signal processing plays in conditioning time continuous signals. Is able to argument for and convey the main issues of the subject, first and foremost the relation between the signal in to linear time invariant systems and the system's response. Know the relation between continous-time PID controllers and discrete-time PID controllers.

Skills:Is able to use mathematical methodes, both in the time and in the transform domain for calculating relations between input and response for linear time invariant systems. Is able to use MATLAB for simple signal processing, and use Simulink to simulate control systems. Is able to discretize continuous-time systems.

General qualification: After finishing this course the student has achieved better understanding of basic signal and system theor, and is able to apply this to get a better understanding of control systems.

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### Recommended previous knowledge

ING1021 Series and functions of several variables, ING3056 Control Systems

ING1020 Analysis and Linear Algebra

### Teaching methods

Lectures and problem solving/data exercises using MATLAB. Theoretical exercises. Compulsory Work (as specified in the course plan) must be accepted at least 3 weeks before exam.

### Compulsory learning activities

7 Assignments will be given throughout the semester. 5 of these must be approved 3 weeks prior to the exam.

Approved mandatory assignments are valid for the 3 next semesters

### Assessment

Written exam, 5 hours.

Grade:  A - E / passed;  F / failed.

### Examination support material

Simple calculator: Allowed calculator is Casio fx-82 (all varieties: ES, ES Plus, EX, Solar etc.)