Journal
IEEE SIGNAL PROCESSING LETTERS
Volume 23, Issue 4, Pages 537-540Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LSP.2016.2531991
Keywords
Coded modulation (CM) capacity; expectation propagation (EP); mean-field approximation; variational message passing (VMP)
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Funding
- BMBF within the programme Twenty20-Partnership for Innovation [03ZZ0505B]
- Finep/Funttel under the Crr Project of the National Institute of Telecommunications (Inatel), Brazil [01.14.0231.00]
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The coded modulation (CM) capacity represents the maximum achievable data rate for a CM scheme assuming optimal decoding at the receiver. It is an important analytical tool, providing theoretic limits for near-optimum transceiver design. Next generation wireless communications systems with the use of new technologies, such as massive antennas and nonorthogonal waveforms, tend to be large scale. However, the conventional ways developed for evaluating the CM capacity of small-scale systems expose exponential complexity with respect to the system's input dimension. Therefore, they become infeasible when the input dimension increases by one or two orders of magnitude in largescale systems of interest. This letter resorts to a lower and upper bound of the CMcapacity, allowing for a computationally efficient evaluation with polynomial complexity. In particular, two message passing algorithms, namely expectation propagation (EP) and variational message passing (VMP), are applied to evaluate the bounds. Two applications are examined in the end. The presented results bring valuable information about the system design, allowing one to evaluate the impact of suboptimal implementation in the overall system performance.
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