Performance Analysis of Low-Complexity GLDPC Codes for Ultra-Reliable 6G Femtocell Networks

The advent of 6G networks demands ultra-reliable low-latency communication (URLLC) in dense femtocell deployments, where traditional error-correcting codes struggle with computational complexity and stringent reliability targets like 10^(-6) frame error rate (FER) under fading channels. This paper presents a comprehensive performance analysis of low-complexity Generalized Low-Density Parity-Check (GLDPC) codes tailored for 6G femtocell environments. We propose a protograph-based GLDPC construction that minimizes decoding iterations and gate counts while preserving coding gains, leveraging quasi-cyclic structures for efficient hardware implementation on edge devices. Our design employs layered belief propagation decoding with component-code-aware approximations, reducing average complexity by up to 40% compared to standard LDPC decoders. Extensive simulations over AWGN, Rician fading, and realistic indoor femtocell channels (e.g., 3GPP TR 38.901 models) demonstrate superior bit error rate (BER) and FER performance, achieving 1-2 dB gains over 5G NR polar codes at high spectral efficiency. Analytical tools, including density evolution and extrinsic information transfer (EXIT) charts, validate the error-floor suppression below 10^(-7)FER. Comparative evaluations highlight trade-offs in latency (<1 ms), energy efficiency, and throughput, positioning low-complexity GLDPC as a sustainable enabler for 6G URLLC in smart homes, industrial IoT, and cultural heritage monitoring applications. Results underscore their viability for integration with massive MIMO and AI-driven adaptive coding.

GLDPC codes, 6G networks, femtocells, URLLC, low-complexity decoding, protograph construction, performance analysis, density evolution.

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