Blind Cartography for Side Channel Attacks: Cross-Correlation Cartography

<table>From top to bottom: one reference signal <svg height="11.4625" id="M67" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.5875 11.4625" width="12.5875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><path d="M716 28l-8 -28h-254l8 28q55 5 66 17.5t5 47.5l-30 145h-232l-74 -138q-21 -43 -11 -54.5t72 -17.5l-6 -28h-235l8 28q53 7 73.5 21t53.5 70l319 540l33 8q6 -43 33 -176l80 -381q10 -49 26.5 -63t72.5 -19zM495 281l-49 264h-2l-149 -264h200z" id="x1D434"></path></g>
</svg>, the same <svg height="11.175" id="M68" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.6125 11.175" width="10.6125" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M594 511q0 -122 -171 -157l1 -2q158 -33 158 -159q0 -52 -34.5 -95t-90.5 -65q-76 -33 -217 -33h-223l8 28q63 5 79.5 19t26.5 72l83 426q9 48 -2.5 60t-77.5 17l6 28h259q195 0 195 -139zM499 509q0 59 -37 83t-91 24q-36 0 -51 -9q-17 -9 -22 -44l-35 -195h62
q82 0 128 37t46 104zM481 199q0 71 -48 102.5t-121 31.5h-56l-37 -201q-11 -58 7.5 -77t80.5 -19q76 0 125 44.5t49 118.5z" id="x1D435"></path></g>
</svg> but with a lower amplitude and delayed by two samples, and their normalized cross-correlation function <svg height="17.700001" id="M69" style="vertical-align:-4.39394pt" version="1.1" viewbox="0 0 49.337502 17.700001" width="49.337502" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x393"></use></g>
<g transform="matrix(.012,-0,0,-.012,8.675,16.25)"><use xlink:href="#x1D434"></use></g><g transform="matrix(.012,-0,0,-.012,17.397,16.25)"><use xlink:href="#x2C"></use></g><g transform="matrix(.012,-0,0,-.012,20.11,16.25)"><use xlink:href="#x1D435"></use></g>
<g transform="matrix(.017,-0,0,-.017,28.075,12.162)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,33.957,12.162)"><use xlink:href="#x1D451"></use></g><g transform="matrix(.017,-0,0,-.017,43.391,12.162)"><use xlink:href="#x29"></use></g>
</svg>.</table>

International Journal of Reconfigurable Computing

fig2

Figure 2

Figure 2: Blind Cartography for Side Channel Attacks: Cross-Correlation Cartography 