Throughput-Delay Trade-Off for Cognitive Radio Networks: A Convex Optimization Perspective

<table>Illustration of the curves: normalized throughput <svg height="12.0625" id="M176" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 16.174999 12.0625" width="16.174999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.738)"><path d="M852 669l7 -19q-33 -13 -66 -38q83 -53 83 -139q0 -65 -49 -111q-49 -47 -131 -50v-2q54 -40 54 -84q0 -36 -38 -97t-38 -77q0 -34 32 -34q52 0 145 101l17 -16q-100 -115 -176 -115q-38 0 -65.5 23.5t-27.5 58.5q-1 28 20.5 61t43.5 63t20 51q0 48 -33 48q-30 0 -47 11
q-81 -166 -177 -242.5t-219 -76.5q-77 0 -125 36t-48 87q0 31 17 51t42 20q22 0 36.5 -13.5t14.5 -34.5t-11.5 -34.5t-31.5 -13.5q-23 0 -30 12h-2q0 -28 35 -54q34 -25 85 -25q94 0 152 52q60 53 145 203q75 133 131 214q54 75 121 124q-76 48 -192 48q-150 0 -250 -75
q-101 -75 -101 -174q0 -41 30 -68.5t73 -27.5q158 0 205 245h20q-8 -107 -69 -191q-62 -84 -158 -84q-63 0 -102.5 35.5t-39.5 94.5q0 107 111 191t282 84q124 0 221 -59q38 24 84 41zM814 486q0 64 -48 102q-7 -6 -14 -14t-14.5 -18l-10.5 -14q-4 -5 -35 -55l-6 -11
q-6 -11 -10 -20t-10 -20l-6 -11l-17 -36q-4 -7 -7.5 -14.5l-6 -13t-3.5 -7.5q34 0 60 -17q57 6 92 50q36 43 36 99z" id="x211B"></path></g>
</svg> and normalized delay <svg height="12.0625" id="M177" style="vertical-align:-0.1881pt" version="1.1" viewbox="0 0 15.1625 12.0625" width="15.1625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.738)"><path d="M810 587l8 -20q-26 -12 -38 -20q-10 -7 -33 -33q57 -88 57 -190q0 -140 -99 -240q-97 -99 -223 -99q-70 0 -156 33q-75 -27 -161 -27q-61 0 -95 17t-34 46q0 25 30 40t77 15q72 0 170 -52q81 49 203 246q82 134 179 216q-42 59 -121 98q-78 38 -159 38q-145 0 -225 -64
q-80 -65 -80 -169q0 -60 46 -103q46 -42 118 -42q99 0 157 66.5t59 194.5h19q2 -20 2 -43q0 -62 -22.5 -112.5t-60.5 -78.5q-74 -57 -152 -57q-89 0 -148 50q-59 51 -59 133q0 110 97 183q98 74 242 74q95 0 178.5 -38.5t138.5 -105.5q37 27 85 44zM756 336q0 77 -37 144
q-44 -61 -103 -178q-75 -152 -196 -234q-24 -16 -53 -32q60 -20 111 -20q114 0 196 87q82 88 82 233zM276 39q-74 40 -132 40q-67 0 -67 -25q0 -33 87 -33q66 0 112 18z" id="x1D49F"></path></g>
</svg>.</table>

Abstract and Applied Analysis

fig3

Figure 3

Figure 3: Throughput-Delay Trade-Off for Cognitive Radio Networks: A Convex Optimization Perspective 