RTS_theory.asciidoc

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 = Real Time Sampling
 
-The common technique of acquiring a digital representation of a waveform is to take consecutive snapshots of it in regular, equidistant instances in time.
-This is called Real Time Sampling or short RTS as the conversion in relation to the signals changing is done in real-time. A conceptual visualization of this type of conversion is shown in figure 1.
-The time needed to convert one sample into a digital value is denoted as Tc. The period of the signal which is the inverse of its frequency is denoted T.
-The instance in time at which a new conversion starts is marked with ts.
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-
+In the picture above S marks the duration for sample and hold which indicates that in this time period the input signal will actually captured that is a snapshot if its physical value is taken.
+After this time it will be converted to a digital value in the conversion phase marked with C.
+When the conversion had finished this loop may start again. In parallel the result could be used for further processing marked as R.
+This technique has a natural boundary in terms of how fast it can provide new samples which is the sum of the sample time and the conversion time.
+Thus limiting the highest frequency of the samples signal according to the sampling theorem of Nyquist-Shannon. 
+To overcome this limitation a different technique of sampling named ETS [comp. [2] p.273ff] can be used although it introduces limitations on the applicability.
+The principle of ETS is shown in chapter xy of this wiki.
 
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