| Course Unit Code | 440-4118/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| SKA109 | Ing. Jan Skapa, Ph.D. |
| Summary |
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The course focuses on fundamental principles and methods of signal processing during its transmission through the communication chain. Students will learn the concepts of frequency, spectrum of signal and their meanings.
Furthermore, they will learn basic signal transforms and their influence on the spectrum. They will learn the meaning of Fourier series, Fourier transform, window functions and Short-time Fourier transform. They will learn the principles of 1D and 2D signals sampling and phenomena that occur during sampling (aliasing, leakage, moiré). They will learn the principles of 1D and 2D discrete Fourier transform and Discrete cosine transform. Furthermore, students will learn two-dimensional Fourier transform and its importance for optical imaging in optical communications. At the end of the course students will be introduced to the concept of kepstrum and its use in applications of speech signal processing (speech to text), speaker recognition, text to speech. |
| Learning Outcomes of the Course Unit |
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| The aim of the course is to teach students the basic methods and principles of 1D, 2D and multidimensional signal processing in their analysis and transmission by communication transmission chain. Attention is paid to both model (artificial) and real signal (speech signals, real images). Students will learn what tools can be used to analyze and process single and multidimensional signals. They will learn, how to compare those tools to each other in terms of their usability in specific applications. Then, students will be able to apply these tools in a specific case, critically evaluate, analyze and present the results. |
| Course Contents |
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1. Basic types of signals. Basic signal transforms.
2. Signal spectrum, Fourier series. Fourier transform.
3. Spectra of basic types of signals.
4. Basic signal transforms and their influence on the signal spectrum.
5. 1D and 2D ideal sampling functions, sampling theorem.
6. Reconstruction of signals by ideal low-pass filter. Reconstruction with a real filter.
7. 1D and 2D discrete Fourier transform and discrete cosine transforms, their properties and comparison.
8. Short-term Fourier transform, spectrogram.
9. Window functions and their spectral properties.
10. Filtration and its influence on the signal spectrum. Telephone speech band.
11. 2D discrete Fourier transform and its relation to optical imaging systems. Airy shape.
12. Discrete wavelet transform DWT as filtering. Filter banks.
13. Multidimensional signals, their interpretation, processing and display. Principal component analysis.
The teaching format is chosen so that students, through the modeling of phenomena from everyday experience, get to the mathematical relationships that describe these phenomena and then learn to use these relationships retrospectively. |
| Recommended or Required Reading |
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| Required Reading: |
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[1] IFEACHOR, Emmanuel C., JERVIS, Barrie W.: Digital signal processing: a practical approach. 2nd ed. Harlow: Prentice Hall, 2002. ISBN 0-201-59619-9.
[2] GONZALEZ, Rafael C., WOODS, Richard Eugene, EDDINS Steven L.: Digital image processing using MATLAB. 2nd ed. Spojené státy americké: Gatesmark Publishing, c2009. ISBN 978-0-9820854-0-0.
[3] BLANCHET, Gérard, CHARBIT, Maurice. [i]Digital signal and image processing using MATLAB.[/i] Přeložil Antoine HERVIER. London: ISTE, 2006. ISBN 1-905209-13-4. |
[1] UHLÍŘ, Jan; SOVKA, Pavel: Číslicové zpracování signálů. Vyd. 2. přeprac. Praha: Vydavatelství ČVUT, 2002. ISBN 80-01-02613-2.
[2] PRCHAL, Josef; ŠIMÁK, Boris: Digitální zpracování signálů v telekomunikacích. Praha: Vydavatelství ČVUT, 2001dotisk. ISBN 80-01-02149-1.
[3] OWEN, Mark. Practical signal processing. Cambridge: Cambridge University Press, 2007. ISBN 978-0-521-85478-8.
[4] OPPENHEIM, Alan V. a Ronald W. SCHAFER. Discrete-time signal processing. 3rd ed., Pearson new international ed. Harlow: Pearson, c2014. Pearson custom library. ISBN 978-1-292-02572-8.
[5] PROAKIS, John G. a Dimitris G. MANOLAKIS. Digital signal processing. 4th ed. Upper Saddle River: Pearson Prentice Hall, c2007. ISBN 978-0-13-187374-2.
[6] IFEACHOR, Emmanuel C. a Barrie W. JERVIS. Digital signal processing: a practical approach. Wokingham: Addison-Wesley, 1993. Electronic systems engineering series. ISBN 0-201-54413-X. |
| Recommended Reading: |
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[1] ANTONIOU, Andreas: Digital Filtres, analysis, design and applications. 1st Edition. McGraw-Hill, 1993. ISBN-13: 978-0071454247. ISBN-10: 0071454241.
[2] GONZALEZ, Rafael C., WOODS, Richard Eugene: Digital image processing. 3rd ed. Upper Saddle River: Pearson Prentice Hall, c2008. ISBN 978-0-13-168728-8.
[3] MCANDREW, Alasdair. [i]Introduction to digital image processing with MATLAB.[/i] Boston: Thomson Course Technology, c2004. ISBN 0-534-40011-6. |
[1] PRCHAL, Josef: Signály a soustavy. Vyd. 2. Praha: České vysoké učení technické, 1992. ISBN 80-01-00831-2.
[2] DAVÍDEK, Vratislav, LAIPERT, Miloš, VLČEK, Miroslav: Analogové a číslicové filtry. 2. vyd. Praha: Nakladatelství ČVUT, 2006, dotisk. ISBN 80-01-03026-1.
[3] TAN, Li. Digital signal processing: fundamentals and applications. Burlington: Elsevier/Academic Press, c2008. ISBN 978-0-12-374090-8. |
| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Experimental work in labs, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 36 | 20 |
| Examination | Examination | 64 | 31 |