Teoria sygnałów. Signal Theory. Electrical Engineering 1 st degree (1st degree / 2nd degree) General (general / practical)

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1 MODULE DESCRIPTION Module code Module name Teoria sygnałów Module name in English Signal Theory Valid from academic year 01/013 MODULE PLACEMENT IN THE SYLLABUS Subject Level of education Studies profile Form and method of conducting Specialisation Unit conducting the module Module co-ordinator Electrical Engineering 1 st degree (1st degree / nd degree) General (general / practical) Full-time (full-time / part-time) Industrial Electronics and Power Engineering Electronics The Department of Power Engineering Electronics Andrzej Zawadzki, PhD, Eng. Approved by: MODULE OVERVIEW Type of subject/group of subjects Module status Language of conducting Module placement in the syllabus - semester Subject realisation in the academic year Initial requirements Examination Number of ECTS credit points 4 Major (basic / major / specialist subject / conjoint / other HES) Non-compulsory (compulsory / non-compulsory) Polish 6 th semester Summer semester (winter / summer) Circuit Theory 1 and, the Fundamentals of Electronics 1 (module codes / module names) No (yes / no) Method of conducting Lecture Classes Laboratory Project Other Per semester 30 30

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3 TEACHING RESULTS AND THE METHODS OF ASSESSING TEACHING RESULTS Module target The aim of the module is to familiarise students with: the issues concerning signal and basic principles of processing them; signal representation methods in a frequency and correlation domain; discussing signals in functional space categories; applying the sampling operation, quantizing, and signal coding; signal filtering, and filter structure and design. Effect symbol Teaching results Teaching methods (/l/p/other) Reference to subject effects Reference to effects of a field of study W_03 A student has systematised basic knowledge (with theoretical background) as regards signals and basic principles of processing them. A student has detailed knowledge as regards signal representation, the behaviour of systems, analysing their responses to various types of signal types. K_W01 K_W0 K_W07 A student knows basic filter design methods. K_W06 K_W18 A student can make a frequency analysis of signals and system functioning; a student is also able to determine its responses to various types of input signals. A student is able to utilise the learnt methods to analyse the operation, design, modification, and control of system parameters. A student understands the necessity of continuous self-education. A student is aware of and correctly identifies the signals and methods of processing them. K_U09 K_U16 K_U11 K_U13 K_K01 K_K0 K_K03 T1A_W03 T1A_W04 T1A_W07 T1A_U09 T1A_U14 T1A_U15 T1A_U16 T1A_K01 T1A_K04 T1A_K05 Teaching contents: Teaching contents as regards lectures Lecture number Teaching contents 1 The elements of general signal theory. Signal division. Deterministic and random signals. One- and two-dimensional signals. The definition of signals with the use of elementary signals. The parameters of deterministic signals a mean and effective value. Complex signals. The distribution of signals into components. Signal power and energy. Basic issues occurring in digital signal processing. 3 Signal spaces, a norm, distance, and a scalar product. Signal orthogonality. Signal representations in finitely dimensional spaces. 4 Basic approximation issues. Linearly independent and orthogonal functions. Orthogonal expansion; function norms; quality approximation assessment. 5 Fourier series: trigonometric, polar, complex, and harmonic form (amplitude, frequency, and phase). 6 Fourier transform of periodical and non-periodical signals. Fourier transform and series relationship. Signal spectrums. 7/8 Continuous signal discretisation. Signal sampling; the concept of a sampling function; the spectrum of a sampled signal. Shannon s theorem. Reference to teaching results for a module

4 9 Signal reconstruction based on its samples. The selected sampling issues concerning a discrete signal. 10 Discrete Fourier transform (DFT): its definition, properties, physical interpretation; the relationship between DPF with an integral Fourier transform. Fast Fourier transform (FFT). 11/1 Digital signals. Z-transform of discrete signals: its definition, properties, and examples. Inverse Z transform. 13 Analogue signal processing through linear filters. Analogue filters; a description in time, complex, and frequency domains. Discrete signal filters described with differential equations. 14 Finite impulse response filters: their definition, linearity, and frequency characteristics. Filters with non-finite impulse response: frequency characteristics and their interpretation. 15 Obtaining a credit for the lectures. Teaching contents as regards Class number Teaching contents Reference to teaching results for a module 1, Continuous signals in time. Fourier series. Fourier transform. 3 DFT; FFT algorithms. 4 Inverse Fourier transform. 5,6 Sampling and quantisation. 7,8 Digital signals. Z transform and inverse Z transform Digital system description. Solving differential equations. 11/1 Linear signal processing. Filters. 13/14 Analogue filters, the distribution of zeros and poles on a complex s plane; Butterworth, Chebyshev, and Cauer approximations. 15 Obtaining a credit for the. The methods of assessing teaching results Effect symbol W_03 Methods of assessing teaching results (assessment method, including skills reference to a particular project, laboratory assignments, etc.) A practical test during laboratory A practical test during laboratory A written test conducted during the lectures and laboratory A practical test during laboratory

5 STUDENT S INPUT ECTS credit points Type of student s activity Student s workload 1 Participation in lectures 30 Participation in 30 3 Participation in laboratories 4 Participation in tutorials (-3 times per semester) 5 Participation in project 6 Project tutorials 7 Participation in an examination 8 9 Number of hours requiring a lecturer s assistance 60 (sum) 10 Number of ECTS credit points which are allocated for assisted work 11 Unassisted study of lecture subjects 5 1 Unassisted preparation for 0 13 Unassisted preparation for tests Unassisted preparation for laboratories 15 Preparing reports 16 Preparing for a final laboratory test 17 Preparing a project or documentation 18 Preparing for an examination 5 19 Preparing questionnaires 0 Number of hours of a student s unassisted work 60 (sum) 1 Number of ECTS credit points which a student receives for unassisted work Total number of hours of a student s work 10 3 ECTS credit points per module 1 ECTS credit point=5-30 hours 4 4 Work input connected with practical Total number of hours connected with practical 60 5 Number of ECTS credit points which a student receives for practical