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This paper studies enhanced dense code multiple access (DCMA) system designfor downlink transmission over the Nakagami-$m$ fading channels. By studyingthe DCMA pairwise error probability (PEP) in a Nakagami-$m$ channel, a noveldesign metric called minimum logarithmic sum distance (MLSD) is first derived.With respect to the proposed MLSD, we introduce a new family ofpower-imbalanced dense codebooks by deleting certain rows of a specialnon-unimodular circulant matrix. Simulation results demonstrate that ourproposed dense codebooks lead to both larger minimum Euclidean distance andMLSD, thus yielding significant improvements of error performance over theexisting sparse code multiple access and conventional unimodular DCMA schemesin Nakagami-$m$ fading channels under different overloading factors.

Novel Power-Imbalanced Dense Codebooks for Reliable Multiplexing in Nakagami Channels