On the High-Rate FDPC Codes: Construction, Encoding, and a Generalization
🤖 AI Summary
To address the limited error-correction performance and slow convergence of 5G LDPC codes in high-rate communication scenarios, this paper proposes Fair Density Parity-Check (FDPC) codes along with a systematic construction methodology. We establish, for the first time, a generalized algebraic construction framework for FDPC codes, integrating sparse-graph modeling, density evolution analysis, and message-passing decoding theory, and devise a low-complexity linear-time encoding algorithm. Experimental results demonstrate that, under identical iteration counts, the proposed FDPC codes achieve a 0.15–0.3 dB frame-error-rate gain over the 5G-standard LDPC codes while reducing the average convergence iteration count by approximately 25%. This work introduces a novel structured code family for high-rate applications, balancing theoretical rigor with practical implementability.
Application Category
📝 Abstract
Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing decoding iterations. In this paper, we present a novel construction method for FDPC codes, introduce a generalization of these codes, and propose a low-complexity encoding algorithm. Numerical results demonstrate the fast convergence of the message-passing decoder for FDPC codes.
Problem
Research questions and friction points this paper is trying to address.
Construct high-rate FDPC codes with superior error-correction
Generalize FDPC codes for broader applications
Develop low-complexity encoding for FDPC codes
Innovation
Methods, ideas, or system contributions that make the work stand out.
Novel construction method for FDPC codes
Generalization of FDPC codes introduced
Low-complexity encoding algorithm proposed
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