Wiener's Loop Filter for PLL-Based Carrier Recovery of OQPSK and MSK-Type Modulations

<table>MSE versus <svg height="14.75" id="M112" style="vertical-align:-3.25793pt" version="1.1" viewbox="0 0 48.599998 14.75" width="48.599998" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.75)">
<g transform="translate(72,-60.2)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="6.2515001" y="0">𝐸</tspan>
</text>
<text transform="matrix(1,0,0,-1,-56.77,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑏</tspan>
</text>
<text transform="matrix(1,0,0,-1,-52.16,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">/</tspan>
<tspan style="font-size: 12.50px; " x="3.4758339" y="0">𝑁</tspan>
</text>
<text transform="matrix(1,0,0,-1,-38.04,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">0</tspan>
</text>
</g>
</g>
</svg> for GMSK with <svg height="10.9125" id="M113" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 58.525002 10.9125" width="58.525002" 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">𝐵</tspan>
<tspan style="font-size: 12.50px; " x="8.7020884" y="0">𝑇</tspan>
<tspan style="font-size: 12.50px; " x="19.042068" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="31.082458" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="37.333958" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="40.459709" y="0">3</tspan>
</text>
</g>
</g>
</svg>.
</table>

Journal of Electrical and Computer Engineering

fig3

Figure 3

Figure 3: Wiener's Loop Filter for PLL-Based Carrier Recovery of OQPSK and MSK-Type Modulations 