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FEO3200 Foundations in Digital Communications 12.0 credits

The course provides the theoretical background of the methods and principles used in

modern digital communication systems. Detection and modulation theoretic aspects are

the main focus, i.e., a comprehensive study of hypothesis testing, Gaussian stochastic

processes, concept of sufficient statistics and matched filters, and parallelism to

estimation theory. The emphasis is to provide a rigorous mathematical framework,

optimization criteria, and models which are suitable for digital communication problems.

Further, problem solving skills in related topics should be trained. The intention is to

deepen existing knowledge on digital communication rather than to broaden.

Choose semester and course offering

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Headings with content from the Course syllabus FEO3200 (Spring 2019–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

In the first part of the course the following topics are covered:

  • A rigorous revisit of basic principles in digital communication,
  • Stochastic processes and stationary discrete‐time stochastic processes,
  • Binary and multi‐hypothesis testing problem, sufficient statistics
  • Parallelism to estimation theory, composite detection problem
  • Uni‐and multivariate Gaussian distribution, complex Gaussian and circular symmetry
  • Continuous‐time stochastic processes
  • Detection in white Gaussian noise
  • Non‐coherent detection and nuisance parameters

In the second part of the course the following topics are covered:

  • Signal detection in discrete time: Performance evaluation of procedures, e.g., Chernoff bound, sequential detection, non parametric and robust detection
  • Elements of signal estimation
  • Signal Detection in continuous time: The detection of deterministic and partly determined signals in Gaussian noise and the detection of random signals in Gaussian noise

Intended learning outcomes

After the course the student should be able to

  1. explain and derive the foundation of digital communication methods,
  2. acquire and discuss results related research literature,
  3. solve standard problems in detection, modulation, and estimation theory,
  4. use the advanced theoretical tools to analyze and design new procedures adapted to specific problems.

Course disposition

No information inserted

Literature and preparations

Specific prerequisites

Mandatory prerequisite for this course is the basic course on digital communications EQ2310 “Digital Communications.”

Recommended prerequisites

Mandatory prerequisite for this course is the basic course on digital communications

EQ2310 “Digital Communications.”


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Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

P, F


  • EXA1 - Examination, 12.0 credits, grading scale: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Other requirements for final grade

To pass the course the student

  • has to hand in every homework. For each homework a minimum number of points must be achieved as well as the sum of all achieved points has to exceed a threshold, and
  • has to sign up for presentation of at least one exercise solution for every homework set and has to present successfully at least one solution in one exercise seminar. Those who did not successfully present have to do a presentation of a selected paper.

The thresholds will be adjusted according to the number of achievable points and will be fixed before the course starts.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

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Ethical approach

  • All members of a group are responsible for the group's work.
  • In any assessment, every student shall honestly disclose any help received and sources used.
  • In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web FEO3200

Offered by

Main field of study

This course does not belong to any Main field of study.

Education cycle

Third cycle

Add-on studies

No information inserted


Tobias Oechtering

Supplementary information

Fits to


och kommunikationsteknologi (ICT) track

Postgraduate course

Postgraduate courses at EECS/Information Science and Engineering