450-2009/01 – Signals and Systems (SaS)

Gurantor departmentDepartment of Cybernetics and Biomedical EngineeringCredits6
Subject guarantorIng. Blanka Filipová, Ph.D.Subject version guarantorIng. Blanka Filipová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DEM75 Ing. Blanka Filipová, Ph.D.
MAC37 Ing. Zdeněk Macháček, Ph.D.
PIE046 Ing. Martin Pieš, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 2+12

Subject aims expressed by acquired skills and competences

The purpose of the course is to provide a common background for B.SC courses in control, communication, electronic circuits, filter design, digital signal processing. Student will be able to set out the basic correlation and spectral characteristics of different signals. The student will be able to perform the analysis of LTIL system and to use MATLAB/Simulink for signal and system analysis.

Teaching methods

Lectures
Individual consultations
Tutorials
Experimental work in labs

Summary

The subject deals with basic mathematical methods which are applied for analysis and processing of the signals with target of the important information extraction. In a context of the subject, the algorithm procedures for the signals processing in the time, frequency, and time-frequency domain are discussed. The second part of the subject deals with the mathematical methods for analysis and modeling of the systems with the continuous time.

Compulsory literature:

Kamen, E.W., Heck, B.S.: Fundamentals of signals and systems using the web and Matlab. Prentice Hall, New Jersey 2000. Chen Chi-Tsong: System and Signal Analysis. Saunders College Publishing, New York 1994.

Recommended literature:

Couch L.W.II: Digital and Analog Communications Systems. Macmillan Publishing Comp., New York 1989

Way of continuous check of knowledge in the course of semester

Verification of study: 2 projects of 10 points, 2 tests of 10 points. Conditions for credit: Minimum is 15 points. The final exam consists of writing part 0 - 50 points and oral part 0 -10 points. Student have to succeed in all parts of examination. The minimum is 26 points in writing part , in oral part the minimum is 1 point.

E-learning

Další požadavky na studenta

Another demands for student are not.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: The Signal. Continuous time Signal w(t). Basic Definitions. Time Averages. Sinusoidal Signal. Dirac\'s Impulse. Signal Analysis in the Time Domain. Correlation Analysis of Continuous time Signal. Signal Analysis in the Frequency Domain I. Fourier Series. Discrete Spectrum. Discrete Power Spectrum. Signal Analysis in the Frequency Domain II. Fourier Transform. Spectrum. Energy Spectrum. Power Spectrum. Random Signal. Correlation and Spectral Analysis of Random Signal. Random Process. Amplitude modulation. Angle modulation. The System. Basic Definitions. Continuous LTIL System. System Analysis in the Time Domain. Impulse Response.Description of the LTIL System by the Differential Equation. Convolution. Stability. System Analysis in the Frequency Domain. Frequency Transfer Function of the System. Laplace transform in signal and system analysis. Distortion of the Sinusoidal Signal by the LTIL System. Ideal Filter, Causal Filter. Computer Labs: Introduction in Laboratory Work. Introduction to the Matlab. Basic Characteristics of Signals. Correlation Function. Discrete Spectrum. Spectrum. Project No.1 Test No.1 System Analysis in the Time Domain -Simulink. Step response, Impulse response. Stability of the System. Frequency Transfer Function of the System. Project No. 2 Amplitude modulation of the train of rect.impulses. System analysis by Laplace Transform. Distortion of the Sinusoidal Signal by the LTIL System. Filtration of the signals. Using of Signal Processing Toolbox. Test No.2. Conclusion of the Course. Projects: 1. The Correlation and Spectral Analysis of Continuous-Time Signal. 2. The LTIL system analysis. Time demands of each project is 5 hours.

Conditions for subject completion

Full-time form (validity from: 2013/2014 Winter semester, validity until: 2016/2017 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 40  15
        Examination Examination 60  27
Mandatory attendence parzicipation: -

Show history

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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
V - ECTS - bc. 2014/2015 Full-time Czech Optional 401 - Study Office stu. block
V - ECTS - bc. 2013/2014 Full-time Czech Optional 401 - Study Office stu. block
V - ECTS - bc. 2012/2013 Full-time Czech Optional 401 - Study Office stu. block