Journal article Open Access

Protograph-Based Interleavers for Punctured Turbo Codes

Garzón Bohórquez, Ronald; Abdel Nour, Charbel; Douillard, Catherine


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    <subfield code="a">&lt;p&gt;A method to design efficient puncture-constrained&amp;nbsp;interleavers for turbo codes (TCs) is introduced. Resulting TCs&amp;nbsp;profit from a joint optimization of puncturing pattern and&amp;nbsp;interleaver to achieve an improved error rate performance. First,&amp;nbsp;the puncturing pattern is selected based on the constituent&amp;nbsp;code Hamming distance spectrum and on the TC extrinsic&amp;nbsp;information exchange under uniform interleaving. Then, the&amp;nbsp;interleaver function is defined via a layered design process&amp;nbsp;taking account of several design criteria such as minimum span,&amp;nbsp;correlation girth, and puncturing constraints. We show that&amp;nbsp;applying interleaving with a periodic cross connection pattern&amp;nbsp;that can be assimilated to a protograph improves error-correction&amp;nbsp;performance when compared to the state-of-the-art TCs. An&amp;nbsp;application example is elaborated and compared with the long&amp;nbsp;term evolution (LTE) standard: a significant gain in performance&amp;nbsp;can be observed. An additional benefit of the proposed technique&amp;nbsp;resides in the important reduction of the search space for the&amp;nbsp;different interleaver parameters.&lt;/p&gt;</subfield>
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