Course detail

Digital Signal and Image Processing

FEKT-AZSOAcad. year: 2017/2018

The subject offers an introduction to:
- basic concepts of signals and systems,
- digital signal processing and analysis,
- processing and analysis of images
as essential indispensable tools for modern biomedical engineering and bioinformatics

Learning outcomes of the course unit

After completing the course, the student is capable of:
- interpreting the fundamental knowledge, concepts and their relationships in the field of signal and image processing,
- describing the basic methods in this area,
- describing the most important application processes and their practical use,
- choosing a proper approach and method to a given problem from this area,
- practically utilizing the chosen method in a specific computer implementation

Prerequisites

successful completion of previous courses of the respective study branch, particularly: - basic university mathematics, including the complex integral transforms (Laplace, Fourier) - introduction to continuous-time system theory

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

J. Jan: Číslicová filtrace, analýza a restaurace signálů (2. vydání), VUTIUM (Brno) 2002 (CS)
V. Šebesta: Signály a systémy. Skripta VUT (CS)
J. Jan: Digital Signal Filtering, Analysis and Restoration. IEE Press (London) 2000 (EN)
E. Kamen: Introduction to Signals and Systems. MacMillan 1987 (EN)
J. Jan: Medical Image Processing, Reconstruction and Restoration. CRC (USA) 2006 (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Techning methods include lectures, and computer . Course is taking advantage of e-learning (Moodle) system.

Assesment methods and criteria linked to learning outcomes

Requirements for successful completion of the subject:
- obtaining at least 12 points (out of 24 as course-unit credit based on active presence in demonstration exercises),
- successful passing of final written exam (up to 76 points)

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Fundamental concepts in signal area 1 (continuous-time signal, periodical and nonperiodic, deterministic and stochastic, parameters)
2. Fundamental concepts in signal area 2 (harmonic decomposition, Fourier trasnform and spectrum)
3. Fundamental concepts in systems (I-O formulation, classification, impulse response, convolution, frequency response)
4. Digital signals 1 sampling, digital signal and its spectrum, sampling theorem, reconstruction)
5. Linear filtering 1 (principle of FIR filtering, properties and possibilities of implementation)
6. Linear filtering 2 (pronciple of IIR filtering, properties and possibilities of implementation , comparison with FIR filtering)
7. Digital signals 2 (stochastic signals, useful signal and noise, repetitive signals, complex signals)
8. Signal enhancement by averaging (fixed window and sliding window averaging, exponencial averaging)
9. Correlation and spectral analysis of signals (estimation and interpretation of correlation function, estimation and interpretation of spectrum of deterministic and stochastic signal)
10. Principles of signal representation of images (two-dimensional signal, continuous and discrete image, sampling, stochastic fields, 2D spectrum of images)
11. Representation of digital images and operators (classification of operators, basic point- and local operators)
12. Basic methods of image enhancement (transformation of brightness and colour, sharpening, noise smoothing, geometric transforms, registration and fusion)
13. Principle of image reconstruction from tomographic projections (projection, Radon transform, principle of algebraic methods)

Aims

- understanding of the fundamental concepts and their relationships in the field of signal and image processing,
- presentation of the major approaches and methods in signal and image processing and analysis
- comprehensible interpretation and demonstration of the respective practical techniques

Specification of controlled education, way of implementation and compensation for absences

Obligatory attendance at tutorials, only 20% absence may be justified by an official medical certificate.
Attendance at the lectures is only recommended.

Classification of course in study plans

  • Programme BTBIO-A Bachelor's

    branch A-BTB , 2. year of study, winter semester, 6 credits, compulsory

  • Programme EEKR-CZV lifelong learning

    branch ET-CZV , 1. year of study, winter semester, 6 credits, compulsory

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

Computer exercise

26 hours, compulsory

Teacher / Lecturer