Budapest University of Technology and Economics, Faculty of Electrical Engineering and Informatics

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    Signals and Systems 1

    A tantárgy neve magyarul / Name of the subject in Hungarian: Jelek és rendszerek 1

    Last updated: 2024. február 21.

    Budapest University of Technology and Economics
    Faculty of Electrical Engineering and Informatics
    Course ID Semester Assessment Credit Tantárgyfélév
    VIHVAA03 2 3/3/0/v 6  
    3. Course coordinator and department Dr. Horváth Péter,
    Web page of the course http://edu.vik.bme.hu
    4. Instructors

    Barbarics Tamás, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék

    Bilicz Sándor, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék

    Gyimóthy Szabolcs, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék

    Horváth Péter, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék

    Pávó József, professor, Szélessávú Hírközlés és Villamosságtan Tanszék

    5. Required knowledge Calculus, basics of linear algebra and matrix algebra, complex numbers, first-order differential equations
    6. Pre-requisites
    Kötelező:
    TárgyTeljesítve_Képzésen("BMETE90AX00") ÉS

    NEM ( TárgyTeljesítve_Képzésen("BMEVIHVAA00")) ÉS

    (Kepzes("5N-A7") VAGY
    Kepzes("5N-A7H") VAGY
    Kepzes("5NAA7"))

    A fenti forma a Neptun sajátja, ezen technikai okokból nem változtattunk.

    A kötelező előtanulmányi rend az adott szak honlapján és képzési programjában található.

    7. Objectives, learning outcomes and obtained knowledge The two-semester course Signals and Systems 1-2 aims to introduce the basic concepts and computational procedures of signal and systems theory, as well as methods for the analysis of electrical and signal-flow networks representing systems. In the first part of the subject (Signals and Systems 1), system descriptions in the time domain are discussed, followed by the frequency domain description. In examples and applications, systems represented by Kirchhoff-type (electrical) networks and their descriptive equations and their solutions are discussed and practiced. Basic methods for analyzing continuous-time nonlinear systems and networks are also discussed.
    8. Synopsis

    Basic concepts (2 lectures). Basic concepts. Signal, system, network; classification criteria. Systems represented by a network. Fundamental laws of electrical networks. Characterization of bipoles (one-ports). Kirchhoff's laws. Fundamental loop and cut system. Tellegen's theorem. The complete system of network equations.

    Analysis of Resistive Networks (4 lectures). The concept of a resistive network, the basic task of network analysis, and the regularity of a network. Methods of network analysis: superposition principle, node potentials, and loop current methods. Introduction of coupled bipoles, characteristics, and their treatment in network analysis. Equivalent circuits of composite bipoles: resultant resistance, equivalent generators. Power matching. Linear resistive two-ports. Reciprocity, symmetry, passivity. Two-port equivalent circuits. Input and transfer characteristics of a terminated two-port.

    Analysis of dynamic networks (6 lectures). The concept of a dynamic network. State-space description. Initial values. Regularity. Constant and piece-wise constant excitations. Free and excited component. Time constant. Method of test signals. Unit step, Dirac impulse. Concepts of step and impulse response, their relationship. Generalized derivative. Convolution. Stability concepts and conditions (asymptotic and BIBO stability).

    Sinusoidal steady state (4 lectures). The concept and physical inter of sinusoidal steady state. Phasor representation of sinusoidal signals, operations with phasors. Expressing network equations with phasors. Impedance. Network computation methods. Qualitative construction of phasor diagrams. Transmission coefficient, frequency response. Bode diagram. Logarithmic unit and scale. Power in sinusoidal steady state: instantaneous, effective, reactive, complex, power factor. Power matching.

    Nonlinear networks (2 lectures). Nonlinear resistance. Calculation of the operating point: graphical method, piecewise linearization. Solvability of nonlinear network equations. Principle of iterative solution methods. Small-signal analysis. Dynamic resistance. Linearization of nonlinear two-ports.

    Periodic steady state (2 lectures). Definition and mean values of periodic signals. Fourier polynomial and series. Mathematical, engineering, and complex forms of the Fourier series. Convergence properties. System analysis using Fourier series. Calculation of effective power (Parseval's theorem).

     

     

     

    9. Method of instruction 3 hours/week lecture and 3 hours/week problem solving exercise
    10. Assessment
    During the semester:
     
    (1) Every student gets assigned a 3-part homework to be solved independently. The parts should be turned in according to the schedule published by the Faculty. Solutions for each part will be rewarded by 0...5 points. Late turn-ins will be awarded by 0 points. (2) There are three small tests throughout the semester, graded to 0...5 points each. Tests not taken can not be repeated, and 0 points will be assigned automatically. (3) One extensive written test is held on the date given in the Faculty schedule, which is graded between 0 and 25 points. (4) Standard university rules apply to the presence requirements during the contact classes. 
     
    The signature is awarded as follows: take the grades of the two better small tests (st1, st2) and the average grade of the two best homework parts (hwa), and the grade of the large test (lt), and add them. GP = (st1 + st2 + hwa + lt). The signature is awarded if and only if GP >= 20 and lt >= 10.
     
    Examinations:
     
    (1) Only students with valid signatures are admitted to the exam. (2) The exam contains a written part and an oral part. The written part is scored between 0...60 points. This score translates to the grade as follows. 0...29 points: 1 (immediate fail); 30...38 points: 2; 39...44 points: 3; 45...50 points: 4; 51...60 points: 5. The oral part is obligatory, and only students who achieve at least 30 points will be admitted. The grade of the written part forms the basis for the final note, which will be corrected according to the performance during the oral exam. Most often, the final grade differs at most by +/- 1 grade, however, in exceptional cases, a larger correction is also possible. The oral exam covers the topics of the entire course.
    11. Recaps An unsuccessful midterm test can be re-taken according to the standard university rules. It is not possible to recap the homeworks and the small mid-semester tests.
    12. Consultations In-person discussion with the lecturer as advertised on the course page. Consultations are held on the last workday before the exams.
    13. References, textbooks and resources Standard university textbooks on signals and systems.
    14. Required learning hours and assignment
    Kontakt óra84
    Félévközi készülés órákra28
    Felkészülés zárthelyire5
    Házi feladat elkészítése15
    Kijelölt írásos tananyag elsajátítása0
    Vizsgafelkészülés48
    Összesen180
    15. Syllabus prepared by

    Pávó József, professor, Szélessávú Hírközlés és Villamosságtan Tanszék

    Gyimóthy Szabolcs, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék

    Horváth Péter, assoc. prof., Szélessávú Hírközlés és Villamosságtan Tanszék