Paper V: Polyphase Signal Calculus

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1 \begin{tikzpicture}[x=.85cm,y=.75cm,>=Stealth,font=\sffamily\small]
2 \draw[->](0,0)--(7,0)node[right]{$n$};\draw[->](0,0)--(0,3.2)node[above]{$x(n)$};\draw[teal,thick](0,0)--(0,0.0);\fill[teal](0,0.0)circle(2pt);\node[above]at(0,0.0){$ 0 $};\draw[teal,thick](1,0)--(1,0.25);\fill[teal](1,0.25)circle(2pt);\node[above]at(1,0.25){$ 1 $};\draw[teal,thick](2,0)--(2,0.5);\fill[teal](2,0.5)circle(2pt);\node[above]at(2,0.5){$ 2 $};\draw[teal,thick](3,0)--(3,0.75);\fill[teal](3,0.75)circle(2pt);\node[above]at(3,0.75){$ 3 $};\draw[teal,thick](4,0)--(4,1.5);\fill[teal](4,1.5)circle(2pt);\node[above]at(4,1.5){$ 6 $};\draw[teal,thick](5,0)--(5,2.25);\fill[teal](5,2.25)circle(2pt);\node[above]at(5,2.25){$ 9 $};\draw[teal,thick](6,0)--(6,3.0);\fill[teal](6,3.0)circle(2pt);\node[above]at(6,3.0){$ 12 $};\node[anchor=west,align=left]at(7.4,2){$\Delta^2x(2)=2$\\[5pt]all other displayed\\second differences vanish};
3 \end{tikzpicture}

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