Resource Allocation in a Cognitive Radio System with
Imperfect Channel State Estimation

<table>Total bit rate, <svg height="14.3625" id="M230" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 17.125 14.3625" width="17.125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3625)">
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<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.7,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
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</svg>, as a function of <svg height="14.35" id="M231" style="vertical-align:-3.22281pt" version="1.1" viewbox="0 0 29.487499 14.35" width="29.487499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.35)">
<g transform="translate(72,-60.52)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="2.4155519" y="0">o</tspan>
<tspan style="font-size: 8.75px; " x="6.7215362" y="0">t</tspan>
<tspan style="font-size: 8.75px; " x="9.2333603" y="0">a</tspan>
<tspan style="font-size: 8.75px; " x="13.119248" y="0">l</tspan>
</text>
</g>
</g>
</svg> for the m-RC RA algorithm with <svg height="18.012501" id="M232" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 63.650002 18.012501" width="63.650002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,18.0125)">
<g transform="translate(72,-57.59)">
<text transform="matrix(1,0,0,-1,-71.95,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.52,57.74)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.54,60.86)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">0</tspan>
</text>
<text transform="matrix(1,0,0,-1,-32,66.03)">
<tspan style="font-size: 8.75px; " x="0" y="0">−</tspan>
<tspan style="font-size: 8.75px; " x="5.99512" y="0">3</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Electrical and Computer Engineering

fig2

Figure 2

Figure 2: Resource Allocation in a Cognitive Radio System with
Imperfect Channel State Estimation 

Journal of Electrical and Computer Engineering

Resource Allocation in a Cognitive Radio System with Imperfect Channel State Estimation

Figure 2