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| author | Philipp Le <philipp-le-prviat@freenet.de> | 2020-07-06 22:29:29 +0200 |
|---|---|---|
| committer | Philipp Le <philipp-le-prviat@freenet.de> | 2021-03-04 22:44:39 +0100 |
| commit | 419871e1c4b5d45ccd3b3ae0d4ac3d73977cadbf (patch) | |
| tree | 076d1068e80402675135cb0cbfe63b008f248e23 | |
| parent | 711fb9f60698bba1d4f7570d34e8cf3fa9a87207 (diff) | |
| download | dcs-lecture-notes-419871e1c4b5d45ccd3b3ae0d4ac3d73977cadbf.zip dcs-lecture-notes-419871e1c4b5d45ccd3b3ae0d4ac3d73977cadbf.tar.gz dcs-lecture-notes-419871e1c4b5d45ccd3b3ae0d4ac3d73977cadbf.tar.bz2 | |
Amended butterfly graph of FFT in Exercise 6.4
| -rw-r--r-- | exercise06/exercise06.tex | 34 |
1 files changed, 19 insertions, 15 deletions
diff --git a/exercise06/exercise06.tex b/exercise06/exercise06.tex index 5045453..9010fd1 100644 --- a/exercise06/exercise06.tex +++ b/exercise06/exercise06.tex @@ -215,35 +215,35 @@ $f$ in \si{kHz} & $\left|\underline{H}\left(e^{j\phi}\right)\right|$ & $\arg\left(\underline{H}\left(e^{j\phi}\right)\right)$ in \si{rad} \\ \hline \hline - $-875$ & $2.66222$ & $-0.940067$ \\
+ $-875$ & $2.66222$ & $-0.940067$ \\ \hline - $-750$ & $2.35077$ & $-1.59632$ \\
+ $-750$ & $2.35077$ & $-1.59632$ \\ \hline - $-625$ & $2.02726$ & $-2.42601$ \\
+ $-625$ & $2.02726$ & $-2.42601$ \\ \hline - $-500$ & $2.06155$ & $2.89661$ \\
+ $-500$ & $2.06155$ & $2.89661$ \\ \hline - $-375$ & $2.53576$ & $2.0415$ \\
+ $-375$ & $2.53576$ & $2.0415$ \\ \hline - $-250$ & $3.12827$ & $1.36149$ \\
+ $-250$ & $3.12827$ & $1.36149$ \\ \hline - $-125$ & $3.54979$ & $0.793366$ \\
+ $-125$ & $3.54979$ & $0.793366$ \\ \hline - $0$ & $3.64005$ & $0.2783$ \\
+ $0$ & $3.64005$ & $0.2783$ \\ \hline - $125$ & $3.33017$ & $-0.20564$ \\
+ $125$ & $3.33017$ & $-0.20564$ \\ \hline - $250$ & $2.63934$ & $-0.675333$ \\
+ $250$ & $2.63934$ & $-0.675333$ \\ \hline - $375$ & $1.64624$ & $-1.1316$ \\
+ $375$ & $1.64624$ & $-1.1316$ \\ \hline - $500$ & $0.5$ & $-1.5708$ \\
+ $500$ & $0.5$ & $-1.5708$ \\ \hline - $625$ & $0.653682$ & $1.05924$ \\
+ $625$ & $0.653682$ & $1.05924$ \\ \hline - $750$ & $1.64502$ & $0.608236$ \\
+ $750$ & $1.64502$ & $0.608236$ \\ \hline - $875$ & $2.34923$ & $0.128051$ \\
+ $875$ & $2.34923$ & $0.128051$ \\ \hline $1000$ & $2.69258$ & $-0.380506$ \\ \hline @@ -428,6 +428,7 @@ ] \pgfmathsetmacro{\Xscale}{5} \pgfmathsetmacro{\Cmargin}{0.15} + \foreach \n/\f/\g in {0/1/3,1/0/2}{ \draw (0,{((2*\n+1)*\Xscale)}) node[left,align=right]{$\underline{x}[\f]$} -- ({10-\Cmargin},{((2*\n+1)*\Xscale)}) node[inputarrow,rotate=0]{}; \node[adder,scale=0.2] at(10,{(\n*2*\Xscale)+(\Xscale)}) {}; @@ -449,6 +450,9 @@ \foreach \f in {0,1,2,3}{ \draw ({20+\Cmargin},{(3-\f)*\Xscale}) -- (25,{(3-\f)*\Xscale}) node[inputarrow,rotate=0]{} node[right,align=left]{$\underline{X}[\f]$}; } + \foreach \n in {1,5}{ + \draw[dashed] (3.5,{(\Xscale*\n/2)+3.5}) -- (3.5,{(\Xscale*\n/2)-3.5}) -- (11.5,{(\Xscale*\n/2)-3.5}) -- (11.5,{(\Xscale*\n/2)+3.5}) node[above left,align=right]{2-point FFT} -- cycle; + } \end{circuitikz} \end{figure} |