Communication Theory
Contents
Chapter 1:
Introduction
1.1 Basic principle of message transmission
1.2 Signal theory
Chapter 2:
Repetition: Spectral description of deterministic signals - system theory
2.1 Spectral description
2.1.1 Continuous-time signals
2.1.1.1 Periodic functions
2.1.1.2 General time functions / Fourier transform
2.1.2 Discrete-time signals
2.1.3 Sampling
2.2 System theory
2.2.1 Linear time-invariant continuous systems
2.2.2 Linear time-invariant discrete systems
Chapter 3:
Concepts of probability theory
3.1 Axiomatic definition of probability
3.2 Random variable
3.3 Distribution function and density function
3.4 Expected values
3.5 Moments
3.6 Distributions
3.6.1 Normal distribution
3.6.2 Chi-square distribution
3.6.3 Poisson distribution
3.6.4 Binomial distribution
3.6.5 Other distributions
3.7 Transformation of a random variable
3.8 Characteristic function
Chapter 4:
Information theory
4.1 Information content of a character xi
4.2 Expected value of the information content (entropy)
4.3 Decision content as a special case of entropy
4.4 Redundancy
Chapter 5:
Statistical terms
5.1 Sampling distributions
5.2 Linear estimation
5.3 MSE estimation
5.4 LSE estimation
Chapter 6:
Correlation functions of deterministic signals
6.1 Energy signals
6.2 Power signals
6.3 Periodogram
Chapter 7:
Stochastic signals (processes)
7.1 Distribution and density function
7.2 Expectation function, covariance function, correlation function
7.3 Stationary processes
7.3.1 Spectral description of stationary processes
7.3.2 Ergodic processes
7.3.3 Linear time-invariant systems
7.4 Physical interpretation of stochastic processes
7.5 Linear stochastic processes
7.5.1 Discrete-time moving-average (MA) processes
7.5.2 Discrete-time autoregressive (AR) processes
7.5.3 Discrete-time autoregressive moving-average (ARMA) processes
Chapter 8:
Estimation of the correlation function
Chapter 9:
Spectral analysis with deterministic discrete-time signals / DFT
9.1 Periodic discrete-time signals
9.2 Sequences of finite length
9.2.1 General
9.2.2 Properties of the DFT
9.2.3 Zero-padding
9.3 Fast Fourier Transform (FFT)
9.4 Windowing
9.5 Time-frequency representation
Chapter 10:
Spectral estimation for discrete stochastic signals
10.1 Non-parametric methods for spectral analysis
10.1.1 The periodogram
10.1.2 Consistent estimators for RYY(ejωt))
10.1.2.1 Smoothing the periodogram
10.1.2.2 Averaging of periodograms
10.1.3 Periodogram and empirical correlation function
10.1.4 Spectral estimation with narrowband filters
10.2 Parametric spectral analysis
10.3 Prewhitening
Chapter 11:
Minimum MSE system analysis
11.1 Non-causal Wiener filter
11.2 Causal Wiener filter
11.3 Signal detection in noise
11.4 Prediction filter
11.5 Non-recursive (FIR) Wiener filter
Chapter 12:
Traffic and operation theory
12.1 Introduction
12.2 Traffic supply
12.3 Arrival process
12.4 Service process
12.5 Kendall's notation
12.6 Erlang's formulae
12.6.1 Erlang's loss formula
12.6.2 Erlang's waiting formula
12.6.3 Bundle gain
Dates
The course Theoretical Communications Engineering is offered every winter semester. Please refer to the lecture announcement for the start of lectures and lecture times.
Examination
The examination is offered twice a year during the lecture-free period. The exact dates and locations are determined by the Examination Office and announced on the homepage and in Moodle. For all students on the Master's degree programme in Information Technologies, participation in the internship or submission of the same is mandatory. The result of the written examination will only be communicated to the students and forwarded to the Examination Office after successful submission of the tasks to be solved as part of the internship.
Students have 3 hours to complete the written examination. Relevant aids such as books, laptops etc. are not permitted. Calculators are allowed again. Please bring with you: Paper, pens and, if necessary, a ruler and calculator. The collection of formulae already used in the exercise will be handed out at the beginning of the exam.
Depending on the subject, registration for the exam is done via the Examination Office or via Moodle. If you do not have to register via the examination office and therefore via Moodle, you can register via Moodle up to seven days before the exam. A list of successfully registered students will be published in Moodle in good time before this deadline. Successful registration can also be checked in Moodle on the registration page using the checkbox. You can cancel your enrolment there at any time.
As soon as the registration deadline in Moodle has expired and the number of students registered for the exam has been determined, the lecture hall plans with fixed seat assignments will be created and announced both in Moodle and here.
Online community Moodle
The course is also available online. All students at the University of Wuppertal can register free of charge on the Moodle learning platform and access additional teaching materials. This includes, for example, course-related tests and an online forum where questions can be asked and answered online.
