A Parallel Decoding Algorithm for Short Polar Codes Based on Error Checking and Correcting

<div class="floats-full-page floats-full-page-figure"><h2>Figure 7</h2><div class="floats-full-page-caption"><table>Space and time complexity comparison of SC, SCL(<svg height="12.3" id="M411" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 38.537498 12.3" width="38.537498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.625,11.675)"><path d="M559 163q-23 -66 -68 -163h-474l6 26q62 4 79.5 19.5t28.5 75.5l78 409q7 35 8.5 49t-8 25t-24 13t-51.5 5l5 28h266l-6 -28q-65 -5 -79.5 -18t-25.5 -74l-76 -406q-10 -57 14 -75q12 -13 96 -13q93 0 126 29q41 40 76 109z" id="x1D43F"></path></g><g transform="matrix(.017,-0,0,-.017,15.04,11.675)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,29.744,11.675)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g>
</svg>), BP (iteration number is 60), and Algorithm 1 (<svg height="13.55" id="M412" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.612499 13.55" width="37.612499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.625,12.725)"><path d="M494 514l-10 -15q-56 76 -106.5 117t-110.5 41q-45 0 -45 -30q0 -28 109 -152q59 -68 86 -118.5t27 -107.5q0 -62 -29.5 -119.5t-86.5 -96.5q-64 -45 -138 -45q-76 0 -121.5 53t-45.5 136q0 74 40.5 135t98.5 95q43 26 87 42q-40 59 -57.5 92t-17.5 62q0 46 39 77.5&#10;t90 31.5q54 0 97.5 -35.5t65 -78.5t28.5 -84zM359 234q0 84 -90 191q-47 -17 -74 -47q-81 -89 -81 -200q0 -71 32.5 -109.5t72.5 -38.5q47 0 80 33t46.5 77.5t13.5 93.5z" id="x1D6FF"></path></g><g transform="matrix(.017,-0,0,-.017,14.122,12.725)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(.017,-0,0,-.017,28.826,12.725)"><path d="M456 178h-96v-72q0 -51 12.5 -62.5t72.5 -16.5v-27h-256v27q65 5 78 17t13 62v72h-260v28q182 271 300 426h40v-407h96v-47zM280 225v295h-2q-107 -148 -196 -295h198z" id="x34"></path></g>
</svg>).</table></div><div class="floats-full-page-content"><table class="table-group" width="800px"><tr class="fig-image"><td><img alt="895782.fig.007" src="https://static-01.hindawi.com/articles/tswj/volume-2014/895782/figures/895782.fig.007.jpg" /></td></tr></table></div></div>

Figure 7 | A Parallel Decoding Algorithm for Short Polar Codes Based on Error Checking and Correcting

title

Figure 7: A Parallel Decoding Algorithm for Short Polar Codes Based on Error Checking and Correcting

description

Figure 7

About this journal

<p><em>The Scientific World Journal</em> publishes original research, reviews, and clinical studies covering a wide range of subjects in science, technology, and medicine.</p>


Journal profile

Meet the editorial board

<p><em>The Scientific World Journal</em> maintains an Editorial Board of practicing researchers from around the world, to ensure manuscripts are handled by editors who are experts in the field of study.</p>


Editor spotlight

Submit your proposal

Do you think there is an emerging area of research that really needs to be highlighted? Or an existing research area that has been overlooked or would benefit from deeper investigation? Raise the profile of a research area by leading a Special Issue.