## RTR220 Basics of Signal Theory

 Code RTR220 Name Basics of Signal Theory Status Compulsory/Courses of Limited Choice Level and type Undergraduate Studies, Academic Field of study Electronics and Telecommunications Faculty Department of Fundamentals of Electronics Academic staff Elmārs Beķeris, Juris Grēve, Māris Tērauds, Artūrs Āboltiņš, Anna Litviņenko Credit points 4.0 (6.0 ECTS) Parts 1 Annotation Classification of signals, their characteristics, examples of use in communication systems. Continuous-time periodic and non-periodic signals, Fourier transforms, their properties. Discrete-time signals, Discrete Fourier Transforms, digital filtering, FIR and IIR filters. Modulation, AM, FM, PM signals, digital modulation, transformation of modulated signals by narrowband linear systems. Random signals, their main parameters, principles of measurement, noise in electronic systems.. Goals and objectives of the course in terms of competences and skills To develop understanding of main characteristics of signals and their analysis methods in time and frequency domains. To develop the ability to evaluate main signal parameters and understanding of signal transformations in various systems. Learning outcomes and assessment Able to evaluate the average power and energy of various signals, understand how to select proper methods for analysis of their properties. - Tests, exam. Know how to represent periodic signals by trigonometric and complex exponential Fourier series. Able to calculate spectra of periodic signals. - Tests, presentation of laboratory work reports, exam. Understand spectral density of signals. Able to apply Fourier transforms for analysis of signals in linear systems, able to evaluate bandwidth of signals, apply properties of Fourier transforms. - Tests, presentation of laboratory work reports, exam. Able to apply the Sampling Theorem, understand how to use Discrete Fourier Transforms. - Tests, presentation of laboratory work reports, exam. Able to explain the principles of digital filtering, know how to find impulse and frequency responses of FIR and IIR filters. - Tests, presentation of laboratory work reports, exam. Able to describe properties of modulated signals: waveforms, spectra. - Tests, presentation of laboratory work reports, exam. Able to evaluate characteristics of stationary random signals: mean values, probability distribution, autocorrelation function, power spectral density. Understand transformation of random signals. - Tests, exam. Course prerequisites Mathematics: vector analysis; complex algebra, singularities; derivatives, integration. Circuit theory. Electronic devices.

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