EQ2831 Foundations in Digital Communications 7.5 credits

Teori för digital kommunikation

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.

  • Education cycle

    Second cycle
  • Main field of study

    Electrical Engineering
  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

Autumn 18 for programme students

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 main content

·        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


Lecture, homework problems, exercise seminars, presentation of problem solutions or selected paper.


For single course students: 180 credits and documented proficiency in English B or equivalent

Recommended prerequisites

Basic course on digital communications such as EQ2310 Digital Communications.


A Foundation in Digital Communications

by A. Lapidoth.

Kompletterande litteratur: 

  1. Detection, Estimation, and Modulation Theory, Part I, by H. L. van Trees.
  2. An Introduction to Signal Detection and Estimation, by H. V. Poor.
  3. An Introduction to Statistical Communication Theory, by D. Middleton.

Om mer passande litteratur finns tillgänglig kommer kurslitteraturen kanske att ändras. Besök därför hemsidan där den slutgiltiga kurslitteraturen kommer att utannonseras innan kursstart. 


  • INL1 - Homeworks, 7.5, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

To pass the course the student

  1. 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
  2. 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 final grade for the course will be set according to the sum of all achieved points in the homework assignments. The levels will be fixed before the course starts.

Offered by

EECS/Intelligent Systems


Tobias Oechtering


Tobias Oechtering <oech@kth.se>

Supplementary information

Accelerated Program.


Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.