An efficient transceiver design for superimposed waveforms with orthogonal polynomials

Generalized frequency division multiplexing (GFDM) is considered as a candidate waveform for 5G wireless communication systems. It is the generalize form of the orthogonal frequency division multiplexing (OFDM) that includes a number of subcarriers and subsymbols. An alternative waveform referred as the superimposed waveform in this study, was recently proposed to increase the data rate. The superimposed waveform is based on using orthogonal polynomial in each grid of time-frequency lattice structure. In this way, more than one symbols are transmitted with the different orthogonal pulses. While the proposed waveform showed promising results for the increasing data rate, there were some issues regarding the implementations. Motivated by this, we design transceiver structure as a low complex way with mathematical derivation by using inverse discrete Fourier transform (IDFT) and DFT operations. The bandwidth efficiency is almost 2.4 much higher than GFDM with Gaussian pulses. The performances of the superimposed waveform over a Rayleigh Fading channel and its comparison over additive white Gaussian noise (AWGN) channel are done.