From be0a57a6703624e4823cf94381418041746c637f Mon Sep 17 00:00:00 2001 From: Philipp Le Date: Thu, 20 May 2021 22:23:57 +0200 Subject: Typo fixes --- chapter06/content_ch06.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'chapter06') 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} -- cgit v1.1