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IEEE/CIC International Conference on Communications in China (ICCC)

Effect of the threshold offset on the performance of UEP LDPC codes

Abdul Wakeel, Werner Henkel, Feifei Gao

Published Aug 1, 2013• 2 citations
Publisher

Abstract

This letter addresses the effect of threshold offset on the average performance and UEP capability of higher order constellation (HOC) unequal error protection low density parity check (UEP-LDPC) codes. We optimize the variable node degree distribution for an HOC UEP-LDPC code at a minimum threshold, with a fixed check node degree distribution and code rate. The average performance and the UEP capability of the ensemble code for a marginal offset in the threshold value were investigated. The simulation results show that the average performance and UEP capability can be enhanced by a slight offset in the threshold value. We looked into the connectivity between protection classes due to the threshold offset for a possible answer to the performance gain.

DOI
10.1109/iccchina.2013.6671088

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This letter addresses the effect of threshold offset on the average performance and UEP capability of higher order constellation (HOC) unequal error protection low density parity check (UEP-LDPC) codes. We optimize the variable node degree distribution for an HOC UEP-LDPC code at a minimum threshold, with a fixed check node degree distribution and code rate. The average performance and the UEP capability of the ensemble code for a marginal offset in the threshold value were investigated. The simulation results show that the average performance and UEP capability can be enhanced by a slight offset in the threshold value. We looked into the connectivity between protection classes due to the threshold offset for a possible answer to the performance gain.
Irregular low-density parity-check (LDPC) codes are particularly well-suited for transmission schemes that require unequal error protection (UEP) of the transmitted data due to the different connection degrees of its variable nodes. However, this UEP capability is strongly dependent on the connection profile among the protection classes. This paper applies a multi-edge type analysis of LDPC codes for optimizing such a connection profile according to the performance requirements of each protection class. This allows the construction of UEP-LDPC codes where the difference between the performance of the protection classes can be adjusted and with an UEP capability that does not vanish as the number of decoding iterations grows.
Irregular low-density parity check (LDPC) codes are particularly well-suited for transmission schemes that require unequal error protection (UEP) of the transmitted data due to the different connection degrees of its variable nodes. However, this UEP capability is strongly dependent on the connection profile among the protection classes. This paper applies a multi-edge type analysis of LDPC codes for optimizing such connection profile according to the performance requirements of each protection class. This allows the construction of UEP-LDPC codes where the difference between the performance of the protection classes can be adjusted and with an UEP capability that does not vanish as the number of decoding iterations grows.
In this paper, a new construction of quasi-cyclic low-density parity-check (QC-LDPC) codes for unequal error protection (UEP) is proposed. We first give a new class of UEP block codes. QC-LDPC codes with binomial-term parity-check matrices which can avoid girths less than 8 and achieve an enlarged upper bound on the minimum distance are also introduced. An effective UEP scheme based on the proposed UEP block codes and QC-LDPC codes which can provide flexible choice of protection levels is then presented. Simulation results show that the new QC-LDPC codes can achieve good performance and low error floors. The bits with different designed protection levels can indeed have unequal bit-error-rate performance.
In this paper, the algebraic constructions of quasi-cyclic low-density parity-check (QC-LDPC) codes with the unequal error protection (UEP) property are considered. A criterion for constructing such codes via the masking technique is proposed, based on which explicit conditions on the base parity-check matrices and masking matrices to achieve UEP are provided. We also give three specific constructions of UEP QC-LDPC codes. Furthermore, a sufficient condition to ensure strict UEP is presented. Simulation results demonstrate the superiority of our constructed codes over time-sharing schemes. The constructed codes also have competitive error performance against randomly constructed equal-error-protection LDPC codes and irregular UEP LDPC codes designed based on the degree distribution.
This paper presents a novel method for constructing high performance unequal error protection (UEP) quasicyclic low-density parity-check (QC-LDPC) codes. These codes are highly efficient and designed with flexible rates, lengths and number of protection levels. The given QC-LDPC codes are based on the combinatorial design. Each circulant constituting the parity check matrix of the UEP code is determined from subsets with the distinct difference between elements. Simulation results indicate that proposed UEP codes have equivalent performance to UEP codes constructed with the higher girth and lower rate, while achieving superior performance than the codes constructed by conventional equal error protection (EEP) techniques.