Optimal Filtering in Pilot-Aided Carrier Recovery

<table>Normalized noise bandwidth of the <svg height="10.325" id="M94" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑀</tspan>
</text>
</g>
</g>
</svg> subfilters versus SNR for two values of <svg height="10.325" id="M95" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 17.237499 10.325" width="17.237499" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑀</tspan>
</text>
</g>
</g>
</svg>. Solid lines: <svg height="10.9125" id="M96" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 43.037498 10.9125" width="43.037498" 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">𝑀</tspan>
<tspan style="font-size: 12.50px; " x="16.028847" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.069235" y="0">3</tspan>
</text>
</g>
</g>
</svg>. Dashed lines: <svg height="11.0375" id="M97" style="vertical-align:-0.27588pt" version="1.1" viewbox="0 0 43.037498 11.0375" width="43.037498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑀</tspan>
<tspan style="font-size: 12.50px; " x="16.028847" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.069235" y="0">9</tspan>
</text>
</g>
</g>
</svg>.</table>

Journal of Electrical and Computer Engineering

Optimal Filtering in Pilot-Aided Carrier Recovery

Figure 3