Subject description - B2M37SEK

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B2M37SEK Synchronization and equalization in digital communications
Roles:PV Extent of teaching:3P+1C
Department:13137 Language of teaching:CS
Guarantors:Sýkora J. Completion:Z,ZK
Lecturers:Sýkora J. Credits:6
Tutors:Sýkora J. Semester:Z


We explain principles of the receiver signal processing (synchronization and equalization) for the parametric channel including variety of the implementation possibilities. We focus on the essential particular forms of the channel phase, frequency and timing parameterization, channels with multipath propagation and MIMO channels. We develop the ideas of synchronization and equalization in the context of the data decoding in the parametric channel. All basic categories of the CSE algorithms are targeted: feed-forward, feed-back, iterative and recursive, including the theoretical background of the parameter estimation theory, and theory of the feed-back and iterative systems.

Study targets:

Students learn principles of signal processing in data reception in digital communication.

Course outlines:

1. Synchronization and equalization in the context of the data decoding in the parametric channel.
2. Suboptimal methods of demodulation - differential, non-coherent.
3. General principles, structures, and properties of the channel state estimation.
4. Elements of the parameter estimation theory and optimal filtration (ML, MAP, MSE, LS, Kalman, RLS). Performance properties. Sufficient statistics.
5. Application of the parameter estimation theory on the synchronization-equalization problem.
6. Theory of the feed-back systems - equivalent model
7. Theory of the feed-back systems -linear analysis.
8. Theory of the feed-back systems -nonlinear analysis.
9. Iterative channel state estimators with the decoder soft-information measure aid (turbo synchronization).
10. Carrier (phase, frequency) synchronization algorithms.
11. Symbol timing synchronization algorithms.
12. Frame synchronization.
13. Equalization algorithms (linear / MSE, LMS, Kalman, RLS, nonlinear - DFE) for the multipath
14. Channel state estimators for MIMO systems.

Exercises outline:

1. Decoder in the parametric channel - marginalization of the channel parameter. Differential demodulator.
2. Implementation and performance properties of ML, MSE, LS estimators.
3. Equivalent model of the feed-back system (verification by the simulation).
4. Performance of the feed-back synchronizer (linear/nonlinear).
5. Implementation of the carrier (phase-frequency) synchronizer.
6. Implementation of the symbol timing synchronizer.
7. Evaluation of the projects.


1. Mengali, U., D'Andrea, A. N.: Synchronization Techniques for Digital Receivers. Plenum Press. 2013
2. S. M. Kay: Fundamentals of statistical signal processing-estimation theory, Prentice-Hall 1993
3. S. M. Kay: Fundamentals of statistical signal processing-detection theory, Prentice-Hall 1998



Synchornization, equalization, digital communication.

Subject is included into these academic programs:

Program Branch Role Recommended semester
MPEK8_2021 Communication and information processing PV 3

Page updated 24.7.2024 14:51:51, semester: L/2023-4, L/2024-5, Z/2023-4, Z/2024-5, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)