Difference between revisions of "Signal Representation"
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===Brief summary=== | ===Brief summary=== | ||
| − | {{ | + | {{BlueBox|TEXT=The book focuses on the mathematical description of typical signals in Communications Engineering, which can be done alternatively in the time or frequency domain: |
| − | The book focuses on the mathematical description of typical signals in Communications Engineering, which can alternatively | + | # Components of communication systems and classification of different signals. |
| − | + | # Fourier series for the description of periodic signals with the special case "harmonic oscillation" and the limiting case "DC signal". | |
| − | + | # Laws of the Fourier transform for describing aperiodic $($impulsive$)$ signals and their spectra; first and second Fourier integral. | |
| − | + | # Peculiarities of band-pass signals and their description by the analytic signal and the equivalent low-pass signal. | |
| + | # Discrete Fourier transform for the description of discrete-time signals; application for spectral analysis; FFT as an efficient computer implementation. | ||
| − | Here | + | The spectral transforms $($Laplacetransform, z-transform, Hilbert transform$)$ applicable exclusively to causal signals and systems are not treated in this book. Here we refer to the book [[Lineare_zeitinvariante_Systeme|"Linear and Time-Invariant Systems"]]. |
| + | |||
| + | ⇒ First an »'''content overview'''« on the basis of the »'''five main chapters'''« with a total of »'''19 individual chapters'''«.}} | ||
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{{Collapsible-Fuß}} | {{Collapsible-Fuß}} | ||
| − | ===Exercises and multimedia | + | ===Exercises and multimedia=== |
{{BlaueBox|TEXT= | {{BlaueBox|TEXT= | ||
Revision as of 17:55, 7 February 2023
Brief summary
The book focuses on the mathematical description of typical signals in Communications Engineering, which can be done alternatively in the time or frequency domain:
- Components of communication systems and classification of different signals.
- Fourier series for the description of periodic signals with the special case "harmonic oscillation" and the limiting case "DC signal".
- Laws of the Fourier transform for describing aperiodic $($impulsive$)$ signals and their spectra; first and second Fourier integral.
- Peculiarities of band-pass signals and their description by the analytic signal and the equivalent low-pass signal.
- Discrete Fourier transform for the description of discrete-time signals; application for spectral analysis; FFT as an efficient computer implementation.
The spectral transforms $($Laplacetransform, z-transform, Hilbert transform$)$ applicable exclusively to causal signals and systems are not treated in this book. Here we refer to the book "Linear and Time-Invariant Systems".
⇒ First an »content overview« on the basis of the »five main chapters« with a total of »19 individual chapters«.
Contents
Exercises and multimedia
In addition to these theory pages, we also offer exercises and multimedia modules on this topic, which could help to clarify the teaching material:
$(1)$ $\text{Exercises}$
$(2)$ $\text{Learning videos}$
$(3)$ $\text{Applets}$
Further links
$(4)$ $\text{Bibliography for the book}$
$(5)$ $\text{General notes about the book}$ $($authors, other participants, materials as a starting point for the book, references$)$
