Coset Shaping for Coded Modulation

📅 2026-01-09
🏛️ arXiv.org
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This work addresses the fundamental trade-off between spectral and power efficiency in high-order QAM/PAM modulation, which hinders approaches to the Shannon capacity. To overcome this limitation, the paper introduces “coset shaping,” a novel technique that seamlessly embeds probabilistic shaping into the parity bits of coded modulation, enabling joint shaping of information and parity bits. Remarkably, this approach achieves arbitrarily close-to-capacity performance in the asymptotic regime of infinite code length and modulation order, without increasing system complexity. When integrated with non-binary LDPC codes, the proposed scheme demonstrates significant performance gains in QAM/PAM systems. Both theoretical analysis and simulation results corroborate its effectiveness and superiority over existing methods.

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📝 Abstract
A new shaping technique called coset shaping for coded QAM and PAM signaling is introduced and analyzed. This technique can be applied not only to information bits but also to parity bits without incurring additional complexity costs. It is proven that as the length of the error-correcting code and the modulation order tend to infinity, the gap to capacity for the proposed shaping scheme can be made arbitrarily small. Numerical results and comparisons for the shaping scheme, along with nonbinary LDPC-coded QAM signaling, are presented.
Problem

Research questions and friction points this paper is trying to address.

shaping
coded modulation
capacity gap
QAM
PAM
Innovation

Methods, ideas, or system contributions that make the work stand out.

coset shaping
coded modulation
capacity approaching
LDPC codes
QAM signaling
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I
Irina Bocharova
University of Tartu, Narva mnt 18, Tartu 51009, Estonia
Maiara F. Bollauf
Maiara F. Bollauf
Lecturer in Coding Theory and Cryptography, University of Tartu
LatticesCoding theory
B
Boris Kudryashov
University of Tartu, Narva mnt 18, Tartu 51009, Estonia