## Signals and Systems (Theriy, 304)

The course aims at educating students on concepts such as signal and system, as well as on a set of mathematical tools and techniques used to analyze and process signals and systems in the time and frequency domains. Upon successful completion of the course, students will acquire the knowledge and skills required in specialized Curriculum subjects such as digital signal processing, analogue and digital telecommunication, networks, hardware design, embedded systems, etc.

### Objectives

Upon successful completion of the course, students will be able to: Knowledge level: 1. Describe the characteristic parameters and properties of the continuous-time signals. 2. Distinguish and recognize elementary time stamps. 3. Identify the different categories of continuous-time systems and describe system connections. 4. Identify the most appropriate way of calculating the output of a linear and temporally invariant system. 5. Choose ways to analyze a continuous-time signal in a sum of single frequency signals. 6. Describe the methodology for calculating the frequency response of a linear and temporally invariant system. Skills level: 1. Calculate the characteristic parameters of continuous-time signals. 2. Calculate the output of linear and time invariant systems through the integral of the convolution. 3. Decompose a signal into a sum of simple sineons through a Fourier Series Expand and calculate the single and double-sided spectrum. 4. Calculate the Fourier Transform of a signal both from its definition and using its properties. 5. Calculate the frequency response of a system using the Fourier Transform. 6. Calculate Laplace's direct and inverse transformation and its convergence region. 7. To solve linear differential equations describing linear and temporally invariant systems, through Laplace transformation. 8. Calculate the transport function of a system using the Laplace transform. At Skills level: 1. Generate the representation of the impulse response when the linear equation of differences described by a linear system is known. 2. Choose the most appropriate way of calculating the spectrum of a signal, depending on its characteristics. 3. Evaluate the differences between the Fourier Series Expand and the Fourier Transform. 4. Explain the physical significance of the Fourier transform and compare spectra of different signals. 5. Evaluate the properties of the Fourier Transform and link them to higher-level functions, such as the use of the sliding property in the Fourier Transform Frequency to form a signal in analogue and / or digital telecommunication systems. 6. Conclude for Stability and Transient System Behavior Using Laplace Transformation 7. Design ideal and real linear filters.

Calculus

### Syllabus

Definition, categories, attributes and attributes of continuous-time signals. Definition, categories and connections of continuous time systems. System input - output relationship. The integral of convolution, its properties and ways of calculating it. Fourier series. Fourier transform and its properties. Autocorrelation and convolution properties. The Parceval theorem. Spectral power density. System frequency response. Ideal and real filters. Autocorrelation function. Laplace transformation and convergence region. Laplace transformation properties and theorems. Relationship between Fourier Transformations and Laplace. Analysis of linear systems using Laplace Transform. System Transfer Function.

COURSE DETAILS
 Level: Type: Undergraduate (A+)

 Instructors: Michael Paraskevas Department: Computer and Informatics Engineering Department Institution: TEI of Western Greece Subject: Electrical Engineering, Electronic Engineering, Information Engineering Rights: CC - Attribution-NonCommercial-ShareAlike

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