# TTT4120: Digital Signal Processing

# Introduction

Digital Signal Processing is defined as digitalization, processing, transmission and/or representation of physical (analog) signals and modeling of physical signals and systems. The discipline provides methods and algorithms for digitalization and analysis of both physical signals and linear digital systems. It is based on estimation and application of mathematical models.

Typical problems are signal enhancement, interference reduction, efficient coding for transmission or storage, control of industrial process, navigation, classification etc. Within each problem, there may be many applications each requiring solving a variety of problems.

## System Identification

### Causal and Non Causal Systems

A causal system is a system where the output depends on past and current inputs, but no future inputs i.e the output

### Time invariant or time variant

## Elementary signals

### Unit impulse

Note that his is the same as the Dirac Pulse as known from calculus.

### Unit step

Also known at the heaviside-function in calculus.