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Diffstat (limited to 'chapter06/content_ch06.tex')
| -rw-r--r-- | chapter06/content_ch06.tex | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/chapter06/content_ch06.tex b/chapter06/content_ch06.tex index a9597f0..d722fa6 100644 --- a/chapter06/content_ch06.tex +++ b/chapter06/content_ch06.tex @@ -932,14 +932,14 @@ The real number of bits of the \ac{ADC} is not changed. The new number of bits i \begin{figure}[H] \centering \begin{circuitikz} - \draw (0,0) node[left,align=right]{Input $\underline{x}_i[n]$\\ Sample rate: $T_{S,i}$} to[twoport,t=$\uparrow M$,>,o-] ++(2,0) to[lowpass,>] ++(2,0) node[inputarrow,rotate=0]{} node[right,align=left]{Output $\underline{x}_o[n]$\\ Sample rate: $T_{S,o}$}; + \draw (0,0) node[left,align=right]{Input $\underline{x}_i[n]$\\ Sample rate: $f_{S,i}$} to[twoport,t=$\uparrow M$,>,o-] ++(2,0) to[lowpass,>] ++(2,0) node[inputarrow,rotate=0]{} node[right,align=left]{Output $\underline{x}_o[n]$\\ Sample rate: $f_{S,o}$}; \end{circuitikz} \caption{A up-sampler with a decimation factor of $M$} \end{figure} The ratio between output and input sampling rate is the \index{interpolation factor} \textbf{interpolation factor} $M$. \begin{equation} - M = \frac{T_{S,o}}{T_{S,i}} = \frac{\omega_{S,o}}{\omega_{S,i}} = \frac{T_{S,i}}{T_{S,o}} \qquad, M \in \mathbb{N} + M = \frac{f_{S,o}}{f_{S,i}} = \frac{\omega_{S,o}}{\omega_{S,i}} = \frac{T_{S,i}}{T_{S,o}} \qquad, M \in \mathbb{N} \end{equation} The decimation factor $M$ must be a positive integer. \end{definition} |