Faculty of Electrical Engineering

Czech Technical University in Prague

CTU in Prague

State Doctoral Exam Topics


  1. Digital signal processing in telecommunications
    A/D and D/A conversion, scalar and vector quantization, integral transforms, analysis and synthesis of linear systems with finite and infinite impulse response, digital filtering, sampling frequency expansion and decimation, adaptive methods of signal processing, digitization of voice and video signals, compression of voice and video signals.
  2. Transmission and multiplexing of digital signals
    Signal transmission in baseband, signal transmission over frequency-limited channels in higher frequency band, modulation methods using several carrier frequencies, digital signal regeneration, probability of errors, error rate measurement and analysis, jitter measurement and analysis, multiplexing methods, synchronous and asynchronous multiplexing, balancing the speeds of multiplexed signals (stuffing), digital networks synchronization.
  3. Properties of transmission paths
    Properties of metallic, radio and optical transmission paths, methods for measurement and modeling of transmission parameters, attenuation, dispersion, major types of distortion and its compensation. Methods and scales for assessment of telephone transmission paths, influence of environmental parameters, plan of transmission parameters. Electromagnetic compatibility of ICT systems.
  4. Optical systems and networks
    Optoelectronic transmitters and receivers, optical fibers, optical amplifiers and integrated optics, optical transmission systems, layers, topologies and hierarchies of transmission networks, WDM, optical switchboards, network protection and restoration, automatically switched networks, optical packet switching.
  5. Wireless systems and networks
    Methods of multiplexing in wireless networks, properties of 2G–4G mobile networks, regulation of output power in CDMA networks, access procedure in UMTS and IEEE802.11 networks, UTRAN/EUTRAN protocol architecture, network architecture, quality of service solutions in mobile networks.
  6. Digital switching systems
    Principles of digital switching, time and space digital switching network. Control of digital switching systems. Signaling in digital switching systems and networks. Intelligent network, its properties and services. New-generation networks. Signaling and methods of voice transmission in packet-oriented networks.
  7. Queuing theory
    Probabilistic characteristics of service systems; loss service systems M/M/N/0, their probabilistic characteristics and dimensioning; influence of the flow of demands nature, servicing time distribution and availability on the service system dimensioning; service systems with waiting and hybrid service systems M/M/N/R and their probabilistic characteristics, dimensioning; influence of the flow of demands nature, servicing time distribution, availability and queueing discipline on the service system dimensioning; conclusions from the queueing theory and their practical consequences for the grade of service.
  8. Data communication systems
    Open systems architecture, reference model of open systems interconnection (RM-OSI), functions and services of the individual layers, communication protocols. Means of data communication in telecommunication networks, data networks, switching principles (circuits, packets and messages), control of communication in data networks, transmission securing, flow control.
  9. Control in telecommunications
    Enterprise processes: theoretical background, modeling and simulations; overview, competences and mutual influence of the basic methods for ICT systems management (ČSN ISO/IEC 20000 standard, ITIL v.3 framework). Telecommunications operator: structure; eTOM framework and its subsequent frameworks; key systems (OSS, BSS, CRM); new-generation support systems. Legislation in telecommunications: liberalization; regulation; public administration. Telecommunication services: classification; market; SLA administration.
  10. Elective thematic area
    Selection of a specific area should be based on the supervisor’s recommendation; it should be related to the dissertation topic and concern the problems having been studied by the student from current scientific literature. The topic should be quoted in the application for the State Doctoral Examination.
  11. HVS (Human Visual System) – fundamentals of anatomy and physiology, information processing in HVS, principles of vision physiology, eye as a 3D bandpass filter.
  12. Capturing and reproduction of audiovisual information – types and parameters of image sensors, parameters of imaging systems, types and parameters of image displays, colorimetry and color systems, color management.
  13. Source coding od audiovisual information – analog systems, compression methods, compression standards for static images and video – JPEG, JPEG2000, MPEG-2, MPEG-4, H264/AVC, etc., transmission systems and channel coding – analog transmission, DVB system, streaming, video quality – metrics, QoS, QoE, ITU recommendations and other standards, methodologies for subjective testing.
  14. Human ear anatomy, theory of hearing and audio information processing. Weber-Fechner law. Digital processing of audio signals with respect to their perception. Psychoacoustic optimization of audio signals. Signal resampling, use of additive noise, noise spectra shaping.
  15. Acoustic receivers and transmitters, electroacoustic converters. Capturing and recording of audio signals. CD and DVD recording formats, error-protection coding. Reproduction of audio signals. Sound systems, multi-channel systems. Measurement and analysis of electroacoustic systems.
  16. Lossless and lossy compression of audio signals. Psychoacoustic and technical aspects. Principle of audio signals masking. MPEG-Audio, SBR and ATRAC compression methods. Perception tests of compressed signals.
Responsible person: RNDr. Patrik Mottl, Ph.D.