Multifractals Properties on the Near Infrared Spectroscopy of Human Brain Hemodynamic

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="670761.fig.003a" src="https://static.hindawi.com/articles/mpe/volume-2012/670761/figures/670761.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Data</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="670761.fig.003b" src="https://static.hindawi.com/articles/mpe/volume-2012/670761/figures/670761.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Hölder exponent</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="670761.fig.003c" src="https://static.hindawi.com/articles/mpe/volume-2012/670761/figures/670761.fig.003c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Multifractal Spectrum</td></tr></table></td></tr></table>

<table>(a) A fractional Brownian with the Hurst exponent <svg height="10.9125" id="M80" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 52.6875 10.9125" width="52.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐻</tspan>
<tspan style="font-size: 12.50px; " x="14.37845" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="26.418839" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="32.670338" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="35.796089" y="0">3</tspan>
</text>
</g>
</g>
</svg>, (b) Scaling exponent <svg height="13.55" id="M81" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 25.6875 13.55" width="25.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.55)">
<g transform="translate(72,-61.16)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜏</tspan>
<tspan style="font-size: 12.50px; " x="6.3890328" y="0">(</tspan>
<tspan style="font-size: 12.50px; " x="10.552532" y="0">𝑞</tspan>
<tspan style="font-size: 12.50px; " x="16.278906" y="0">)</tspan>
</text>
</g>
</g>
</svg> (c) Multifractal spectrum.</table>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Multifractals Properties on the Near Infrared Spectroscopy of Human Brain Hemodynamic 