Abstract
A method to design efficient puncture-constrained interleavers for turbo codes (TCs) is introduced. Resulting TCs profit from a joint optimization of puncturing pattern and interleaver to achieve an improved error rate performance. First, the puncturing pattern is selected based on the constituent code Hamming distance spectrum and on the TC extrinsic information exchange under uniform interleaving. Then, the interleaver function is defined via a layered design process taking account of several design criteria, such as minimum span, correlation girth, and puncturing constraints. We show that applying interleaving with a periodic cross connection pattern that can be assimilated to a protograph improves error-correction performance when compared to the state-of-the-art TCs. An application example is elaborated and compared with the long-term evolution standard: a significant gain in performance can be observed. An additional benefit of the proposed technique resides in the important reduction of the search space for the different interleaver parameters.
Highlights
In recent years, interest in a large diversity of applications such as TV or multimedia content on demand [1], live streaming, or interactive gaming has been continuously growing due to the increased number of nomadic users
We investigate the joint optimization of puncturing patterns and interleavers for turbo codes (TCs) in order to guarantee low error floors and good convergence thresholds
Since extrinsic information is used as a priori information on data, a possible strategy for the interleaver construction involves connecting the positions with highly reliable extrinsic information to the positions with unreliable extrinsic information, which are more prone to errors
Summary
Interest in a large diversity of applications such as TV or multimedia content on demand [1], live streaming, or interactive gaming has been continuously growing due to the increased number of nomadic users. Encoding information frames of various lengths with different coding rates can be achieved with the same encoder just by modifying the interleaver parameters and the puncturing pattern Provided that they are able to guarantee lower error rates when they are punctured, TCs remain promising channel coding candidates for 5G and future generations. In the case of the ARP interleaver, a first strategy involves selecting the parameters from those providing the best scattering properties and leading to the highest dmin [12] Another method, proposed in [15], is based on the maximization of the correlation girth.
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