SVD-Based Design for Non-Orthogonal Frequency Division Multiplexing

Conventional non-orthogonal frequency division multiplexing (NFDM) suffers from inter-channel interference (ICI) due to the loss of orthogonality among subcarriers. The ICI significantly degrades system performance and complicates the design of the receiver. In this letter we propose a novel NFDM design based on singular-value decomposition of the modified Fourier matrix, which is able to completely eliminate ICI over an AWGN channel, while enjoying a simple transceiver structure. We also introduce a novel cyclic prefix extension scheme for the proposed NFDM design which is shown to reduce out-of-band emissions as compared to the traditional method of NFDM cyclic prefix extension. The spectral efficiency of our proposed technique is investigated and carefully compared to that of OFDM. The results show that the proposed scheme achieves up to 23% higher bandwidth efficiency than OFDM while meeting the same target bit error rate performance.