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In this paper, a new modulation method defined as Ramanujan Periodic SubspaceDivision Multiplexing (RPSDM) is proposed using Ramanujan subspaces. Eachsubspace contains an integer valued Ramanujan Sum (RS) and its circulardownshifts as a basis. The proposed RPSDM decomposes the linear time-invariantwireless channels into a Toeplitz stair block diagonal matrices, whereasOrthogonal Frequency Division Multiplexing (OFDM) decompose the same intodiagonal. Advantages of such structured subspaces representation are studiedand compared with an OFDM representation in terms of Peak-Average Power Ratio(PAPR) and Bit-Error-Rate (BER). Zero Forcing (ZF) and Minimum Mean SquareError (MMSE) detectors are applied to evaluate the performance of OFDM andRPSDM techniques. Finally, the simulation results show that the proposed design(with an additional receiver complexity) outperforms OFDM under both detectors.

Ramanujan Periodic Subspace Division Multiplexing (RPSDM)