Lossy Joint Source-Channel Coding Using Raptor Codes

<table>The SSCC rate-gap approximation
(<a href="https://static.hindawi.com/articles/ijdmb/volume-2008/124685/figures/#eq3">4</a>) is compared with the PSNR upperbound (<a href="https://static.hindawi.com/articles/ijdmb/volume-2008/124685/figures/#eq4">5</a>) for <svg height="11.1" id="M93" 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> and <svg height="14.7125" id="M94" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 75.787498 14.7125" width="75.787498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.66,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
<text transform="matrix(1,0,0,-1,-57.84,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.279387" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.405136" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="27.656635" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="33.908134" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="40.159637" y="0">1</tspan>
</text>
</g>
</g>
</svg>.</table>

International Journal of Digital Multimedia Broadcasting

Lossy Joint Source-Channel Coding Using Raptor Codes

Figure 3