Single Carrier Lagrange Vandermonde Division Multiplexing

While fifth generation (5G) wireless networks stick to the orthogonal frequency division multiplexing (OFDM), next generation networks will improve major key performance indicators (KPIs) and support diverse use cases. Among KPIs, new levels of mobile performance with lower complexity transceivers are expected. To this end, we propose the single carrier Lagrange Vandermonde division multiplexing (SC-LVDM) that generalizes the single carrier frequency domain equalization (SC-FDE) and harvests the channel diversity. The SC-LVDM receiver blocks are build using the signature roots that have been judiciously selected to 1) guaranty the perfect recovery of the transmitted signals, 2) perform the one-tap equalization while 3) keeping the complexity low. Carrying out the simulations in frequency selective channels, our proposed scheme outperforms the SC-FDE where the performance results are shown in terms of bit error ratio (BER). SC-LVDM achieves a signal-to-noise ratio gain of 10 dB over the SC-FDE when applying the gradient descent algorithm for signature roots optimization.