Low-Complexity Inverse Square Root
Approximation for Baseband Matrix Operations

<table>Linear approximation of <svg height="21.53125" id="M109" style="vertical-align:-3.62407pt" version="1.1" viewbox="0 0 59.453751 21.53125" width="59.453751" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,21.53125)">
<text transform="matrix(1,0,0,-1,0.498,4.112)">
<tspan style="font-size: 12.50px; " x="0" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="6.2515602" y="0">/</tspan>
</text>
<text transform="matrix(1,0,0,-1,10.226,3.736)">
<tspan style="font-size: 12.50px; " x="0" y="0">√</tspan>
</text>
<g transform="translate(21.828,15.489)">
<path d="M 0,0 25.237,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path>
</g>
<text transform="matrix(1,0,0,-1,21.828,4.112)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑐</tspan>
<tspan style="font-size: 12.50px; " x="7.9644876" y="0">+</tspan>
<tspan style="font-size: 12.50px; " x="19.304817" y="0">𝑢</tspan>
</text>
</g>
</svg>: (a) approximating lines; (b) approximation error decreases as <svg height="11.45125" id="M110" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 14.545 11.45125" width="14.545" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.45125)">
<text transform="matrix(1,0,0,-1,0.498,0.498)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑁</tspan>
</text>
</g>
</svg> is increased.</table>

International Scholarly Research Notices

fig1

Figure 1

Figure 1: Low-Complexity Inverse Square Root
Approximation for Baseband Matrix Operations 

International Scholarly Research Notices

Low-Complexity Inverse Square Root Approximation for Baseband Matrix Operations

Figure 1