Redundant Residue Number System Coded Diffusive Molecular Communications

To enhance the reliability of diffusive molecular communications (DMC), redundant residue number system (RRNS) code is introduced to DMC in this paper. We justify the rationality behind the application of RRNS code in DMC, and explain the principles of the RRNS-coded DMC. Assuming binary molecular shift keying (BMoSK) modulation, we investigate the performance of DMC systems, when the DMC systems experience both inter-symbol interference (ISI) and molecular noise. Our studies and performance results show that RRNS code constitutes a class of promising error-control codes, which facilitates DMC systems to achieve a good trade-off among coding rate, implementation complexity and reliability.