Low-Complexity Distortionless Techniques for Peak Power Reduction in OFDM Communication Systems

<table>Autocorrelation of the PTS sequences for <svg height="10.9125" id="M212" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 48.4375 10.9125" width="48.4375" 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">𝑁</tspan>
<tspan style="font-size: 12.50px; " x="14.103384" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="26.143772" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="32.395271" y="0">2</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.9125" id="M213" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 35.237499 10.9125" width="35.237499" 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">𝑣</tspan>
<tspan style="font-size: 12.50px; " x="9.7898493" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="21.830238" y="0">3</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.6875" id="M214" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 36.612499 10.6875" width="36.612499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑃</tspan>
<tspan style="font-size: 12.50px; " x="10.890113" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="22.930502" y="0">4</tspan>
</text>
</g>
</g>
</svg>, <svg height="10.6875" id="M215" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 33.700001 10.6875" width="33.700001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="20.604944" y="0">2</tspan>
</text>
</g>
</g>
</svg>, with <svg height="7.1374998" id="M216" style="vertical-align:-0.10033pt" version="1.1" viewbox="0 0 11.225 7.1374998" width="11.225" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1375)">
<g transform="translate(72,-66.29)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg>-sequence and ECC subblocks, <svg height="10.925" id="M217" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 13.8625 10.925" width="13.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.925)">
<g transform="translate(72,-63.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.84,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">2</tspan>
</text>
</g>
</g>
</svg> and <svg height="11.075" id="M218" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 13.8625 11.075" width="13.8625" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.075)">
<g transform="translate(72,-63.14)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑝</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.84,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">3</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Computer Networks and Communications

fig15

Figure 15

Figure 15: Low-Complexity Distortionless Techniques for Peak Power Reduction in OFDM Communication Systems 