Signal Representation

The book focuses on the mathematical description of typical signals in communications engineering, which can alternatively be in the time or frequency domain.

• The spectral transformations which are exclusively applicable to causal signals and systems are not treated in this book
      (for example:  Laplace transform,  Z-transform,  Hilbert transform).
• Here we refer to the book $\text{Linear and Time Invariant Systems}$ .

The subject matter corresponds to a  $\text{lecture with two semester hours per week (SWS) and one additional SWS exercise}$.

Here is a table of contents based on the  $\text{five main chapters}$  with a total of  $\text{19 individual chapters}$.

Inhalt

Basic Terms of Communications Engineering

• Principles of Communication
• Signal Classification
• Zum Rechnen mit komplexen Zahlen

Periodic Signals

• Allgemeine Beschreibung
• Gleichsignal - Grenzfall eines periodischen Signals
• Harmonische Schwingung
• Fourierreihe

Aperiodic Signals - Impulses

• Fouriertransformation und -rücktransformation
• Einige Sonderfälle impulsartiger Signale
• Gesetzmäßigkeiten der Fouriertransformation
• Faltungssatz und Faltungsoperation

Bandpass Signals

• Unterschiede und Gemeinsamkeiten von TP- und BP-Signalen
• Analytisches Signal und zugehörige Spektralfunktion
• Äquivalentes Tiefpass-Signal und zugehörige Spektralfunktion

Time and Frequency-Discrete Signal Representation

• Zeitdiskrete Signaldarstellung
• Diskrete Fouriertransformation (DFT)
• Fehlermöglichkeiten bei Anwendung der DFT
• Spektralanalyse
• Fast-Fouriertransformation (FFT)

In addition to these theory pages, we also offer tasks and multimedia modules on this topic, which could help to clarify the teaching material:

• $\text{Aufgaben}$
• $\text{Lernvideos}$
• $\text{Neu gestaltete Applets}$  (based on HTML5 and JavaScript, also executable on smartphones)

$\text{Further links:}$

$(1)$    $\text{Recommended reading for the book}$

$(2)$    $\text{General notes about the book}$   (authors,  other participants,  materials as a starting point for the book,  list of sources)