Lossy Joint Source-Channel Coding Using Raptor Codes

<table>PSNR versus <svg height="10.7375" id="M90" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.7375)">
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<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑏</tspan>
</text>
</g>
</g>
</svg> for the Shannon Limit, the Ziv bound and the
operational Shannon limit for the considered family of scalar quantizers for <svg height="13.0125" id="M91" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 77.275002 13.0125" width="77.275002" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.0125)">
<g transform="translate(72,-61.59)">
<text transform="matrix(1,0,0,-1,-71.95,63.4)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
<tspan style="font-size: 12.50px; " x="12.165419" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.205809" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="30.457308" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="35.671059" y="0">…</tspan>
<tspan style="font-size: 12.50px; " x="50.249557" y="0">,</tspan>
<tspan style="font-size: 12.50px; " x="55.463306" y="0">6</tspan>
</text>
</g>
</g>
</svg> and for channel capacity <svg height="11.1" id="M92" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 49.537498 11.1" width="49.537498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐶</tspan>
<tspan style="font-size: 12.50px; " x="11.852844" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="23.893232" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="30.144733" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="33.270481" y="0">5</tspan>
</text>
</g>
</g>
</svg>.</table>

International Journal of Digital Multimedia Broadcasting

Lossy Joint Source-Channel Coding Using Raptor Codes

Figure 2