Open AccessRamanujan periodic subspace division multiplexing
Author(s) -
Srikanth Goli,
Chakka Vijay Kumar,
Shah Shaik Basheeruddin
Publication year - 2019
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2018.5828
Subject(s) - mathematics , orthogonal frequency division multiplexing , ramanujan's sum , linear subspace , subspace topology , algorithm , combinatorics , statistics , mathematical analysis , geometry , estimator
In this study, a new modulation method defined as Ramanujan periodic subspace division multiplexing (RPSDM) is proposed using Ramanujan subspaces. Each subspace contains an integer‐valued Ramanujan sum and its circular downshifts as a basis. The proposed RPSDM decomposes the linear time‐invariant wireless channels into a Toeplitz stair block diagonal matrices, whereas orthogonal frequency division multiplexing (OFDM) decompose the same into diagonal. Advantages of such structured subspaces representation are studied and compared with an OFDM representation in terms of a peak‐average power ratio and bit error rate. Zero‐forcing and minimum mean square error detectors are applied to evaluate the performance of OFDM and RPSDM techniques. Finally, the simulation results show that the proposed design (with an additional receiver complexity) outperforms OFDM under both detectors.