Paper V: Polyphase Signal Calculus

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1 \begin{tikzpicture}[x=.75cm,y=.7cm,>=Stealth,font=\sffamily\small]
2 
3 \draw[->] (0,0)--(9.4,0) node[right]{singular value};
4 \draw[line width=6pt,teal!35] (3,1)--(9,1);
5 \draw[line width=6pt,black!35] (4,2)--(8,2);
6 \node[anchor=east]at(2.7,2){original};\node[anchor=east]at(2.7,1){perturbed};
7 \foreach \x/\s in {3/{3/4},4/1,8/2,9/{9/4}} {\draw(\x,-.12)--(\x,.12);\node[below]at(\x,-.15){$\s$};}
8 \fill (4,2)circle(2pt);\fill(8,2)circle(2pt);\fill[teal](3,1)circle(2pt);\fill[teal](9,1)circle(2pt);
9 \draw[<->] (3,2.5)--(4,2.5)node[midway,above]{$\delta$};
10 \node at (6,-1.0){squared bounds: $9/16\ \le\ \|\widetilde Ex\|^2/\|x\|^2\ \le\ 81/16$};
11 
12 \end{tikzpicture}

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