Feed-Forward Staircase Codes

We propose two variants of staircase codes that resolve the issue of parity-propagation in their encoding process. The proposed codes provide a systematic way of terminating a staircase code after an arbitrary number of blocks. The class of feed-forward staircase codes are introduced, which uses a self-protection technique to avoid parity-propagation. We also introduce the class of partial feed-forward staircase codes, which allows parity-propagation to occur over a given number of blocks. By amortizing the complexity of self-protection over several standard staircase blocks, the encoding complexity of these codes is made comparable to staircase codes. Partial feed-forward staircase codes have the same error-floor as staircase codes. Simulations confirm that the performance of the proposed codes in both the waterfall and error-floor regions is similar to the original staircase codes. The proposed codes help extend the domain of application of staircase codes to systems in which parity-propagation is undesirable or termination is necessary.

[1]  Yung-Yih Jian,et al.  ON THE ANALYSIS OF SPATIALLY-COUPLED GLDPC CODES AND THE WEIGHTED MIN-SUM ALGORITHM , 2013 .

[2]  O. Antoine,et al.  Theory of Error-correcting Codes , 2022 .

[3]  Henry D. Pfister,et al.  Density Evolution for Deterministic Generalized Product Codes on the Binary Erasure Channel at High Rates , 2015, IEEE Transactions on Information Theory.

[4]  Laurent Schmalen,et al.  Status and Recent Advances on Forward Error Correction Technologies for Lightwave Systems , 2014, Journal of Lightwave Technology.

[5]  Jing Wu A survey of WDM network reconfiguration: Strategies and triggering methods , 2011, Comput. Networks.

[6]  Jørn Justesen,et al.  Performance of Product Codes and Related Structures with Iterated Decoding , 2011, IEEE Transactions on Communications.

[7]  Alexandre Graell i Amat,et al.  On parameter optimization for staircase codes , 2015, 2015 Optical Fiber Communications Conference and Exhibition (OFC).

[8]  Henry D. Pfister,et al.  Approaching capacity at high rates with iterative hard-decision decoding , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[9]  William Shieh,et al.  End-to-End Energy Modeling and Analysis of Long-Haul Coherent Transmission Systems , 2014, Journal of Lightwave Technology.

[10]  Frank R. Kschischang,et al.  Staircase Codes: FEC for 100 Gb/s OTN , 2012, Journal of Lightwave Technology.

[11]  Robert T. Chien,et al.  Hybrid methods for finding roots of a polynomial - With application to BCH decoding (Corresp.) , 1969, IEEE Trans. Inf. Theory.

[12]  Henry D. Pfister,et al.  Iterative hard-decision decoding of braided BCH codes for high-speed optical communication , 2013, 2013 IEEE Global Communications Conference (GLOBECOM).

[13]  Frank R. Kschischang,et al.  Spatially Coupled Split-Component Codes With Iterative Algebraic Decoding , 2015, IEEE Transactions on Information Theory.

[14]  Frank R. Kschischang,et al.  Staircase Codes With 6% to 33% Overhead , 2014, Journal of Lightwave Technology.