As an advanced nonorthogonal multiple access (NOMA) technique, the low density signature (LDS) has never been used in filter bank multicarrier (FBMC) systems. In this paper, we model a low density weight matrix (LDWM) to utilize the intrinsic interference in FBMC systems when single-tap equalization is employed, and propose a LDS-FBMC scheme which applies LDS to FBMC signals. In addition, a joint sparse graph (JSG) for FBMC named JSG-FBMC is proposed to combine single graphs of LDS, LDWM, and low density parity-check (LDPC) codes which respectively represent techniques of NOMA, multicarrier modulation, and channel coding. By employing the message passing algorithm, a joint receiver performing detection and decoding simultaneously on the joint sparse graph is designed. Extrinsic information transfer charts and construction guidelines of the joint sparse graph are studied. Simulations show the superiority of JSG-FBMC to state-of-the-art techniques such as OFDM, FBMC, LDS-OFDM, LDS-FBMC, and turbostructured LDS-FBMC.
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