From: Francis Russell Date: Thu, 21 Feb 2013 17:40:55 +0000 (+0000) Subject: Improve aliasing diagram. X-Git-Url: https://git.unchartedbackwaters.co.uk/w/?a=commitdiff_plain;h=e2f8a6abff8c7bd8319b59714356ea1794fd384c;p=francis%2Fpsl_presentation_20130225.git Improve aliasing diagram. --- diff --git a/images-svg/aliasing.svg b/images-svg/aliasing.svg index fac86ca..b74a5f1 100644 --- a/images-svg/aliasing.svg +++ b/images-svg/aliasing.svg @@ -425,9 +425,9 @@ borderopacity="1.0" inkscape:pageopacity="0.0" inkscape:pageshadow="2" - inkscape:zoom="0.98994949" - inkscape:cx="832.20731" - inkscape:cy="425.79457" + inkscape:zoom="1.4" + inkscape:cx="746.81629" + inkscape:cy="307.23892" inkscape:document-units="px" inkscape:current-layer="layer1" showgrid="true" @@ -462,151 +462,151 @@ id="layer1" transform="translate(0,-308.2677)"> 0 + x="60" + y="742.36218">0 1 + x="80" + y="742.36218">1 2 + x="100" + y="742.36218">2 3 + x="120" + y="742.36218">3 4 + x="140" + y="742.36218">4 5 + x="160" + y="742.36218">5 6 + x="180" + y="742.36218">6 7 + x="200" + y="742.36218">7 8 + x="220" + y="742.36218">8 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 amplitude + x="-20" + y="532.36218">amplitude frequency + x="238" + y="743.36218">frequency 0 + x="370" + y="742.36218">0 1 + x="390" + y="742.36218">1 2 + x="410" + y="742.36218">2 3 + x="430" + y="742.36218">3 4 + x="450" + y="742.36218">4 5 + x="470" + y="742.36218">5 6 + x="490" + y="742.36218">6 7 + x="510" + y="742.36218">7 8 + x="530" + y="742.36218">8 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 amplitude + x="290" + y="532.36218">amplitude frequency + x="548" + y="743.36218">frequency 0 1 2 3 4 5 6 7 8 0.0 0.1 0.2 0.3 0.4 valid frequency amplitude + x="640" + y="382.36218">amplitude aliased 0 1 2 3 4 5 6 7 8 0.0 0.1 0.2 0.3 0.4 frequency amplitude + x="640" + y="637.36218">amplitude aliased × + y="632.36218">× ? diff --git a/presentation.tex b/presentation.tex index 3c5cbe1..e58cf59 100644 --- a/presentation.tex +++ b/presentation.tex @@ -541,7 +541,8 @@ We adopt the following strategy: \frametitle{Reasoning about correctness: an example} -If we want to evaluate $\int a(x)b(x)dx$ can we use $\sum\limits_{x=0}^{N} a[x]b[x]$? +If we want to evaluate $\int a(x)b(x)dx$ inside a periodic domain, can we use +$\sum\limits_{x=0}^{N} a[x]b[x]$? \centering \resizebox{0.9\textwidth}{!}{