From a general point of view, signals are functions of one or several independent variables. There two types of signals – descrete-time and continuous-time…

# Category: Signals and Systems

**Signals and Systems****: Preface**

**Aim of the study element:**

To provide an introduction for signals and system analysis. The module includes discrete-time and variable-time signals, Fourier and Z transformations, and analysis of complex time invariant systems.

**Learning outcome**

Having successfully completed this element you will be able to:

- Understand and apply fundamentals of signal and sysem analysis.
- Calculate and analyse discrete- and continuous-time signals.
- Characterise periodic signals, to use Fourie, Laplace and Z transformations.
- Conduct time and frequency characterisation of systems and signals.

**Covered topics**

- Signals and systems introduction.
- Frequency and time characterisation of systems and signals.
- Linear-time-relevant systems.
- Periodic signals, Fourier model.
- Continuous- and discrete-time Fourier model.
- The Laplace and Z-transformations.
- System feedback.

The complete content for this module will be posted here soon.

## Types of signals

Types of signals. Even and odd signals. The continuous-time and discrete-time signals are called even if they are identical to their counterparts on the…

## Discrete LTI systems

It is useful to consider discrete-time signals as a sequence of impulses. For example, a discrete-time signal is on show in Figure 1. Figure…

## Fourier function representation

Most signals are represented with a set of exponential functions, resulting in complex exponential functions. If these functions are affected with exponential external impact,…

## Fourier transformation for continuous-time functions

Let's consider a Fourier representation of aperiodic signals. Let’s also consider an aperiodic signal as the piece of the periodic signal within a period,…

## The Fourier transformation of discrete-time of periodic function

Let's consider the discrete-time Fourier-representation of a function fn=1N∑-∞∞anejn2πnK, where an=1N∑-∞∞F(jw)e-jn2πNk and F(jw)=∑xne-jn2πNk-∞∞. The pair of equations that are called the Fourier pair for discrete-time…

## LTI systems and their properties

Linear-time invariant systems, that were partially discussed before, play an important role in describing signals. Generally speaking, any process can be described with the…