  The Fourth Generation (4G) of mobile communication systems was optimized to
offer high data rates with high terminal mobility by ensuring strict
synchronism and perfect orthogonality. However, the trend for novel
applications, that had not been feasible a few years back, reveals major limits
of this strict synchronism and imposes new challenges and severe requirements.
But, coarse synchronization can dramatically damage the waveforms orthogonality
in the Orthogonal Frequency Division Multiplexing (OFDM) signals, which results
in oppressive Inter-Carrier Interference (ICI) and Inter-Symbol Interference
(ISI). As a consequence, the use of non-orthogonal waveforms becomes further
essential in order to meet the upcoming requirements. In this context, we
propose here a novel waveform construction, referred to Ping-pong Optimized
Pulse Shaping-OFDM (POPS-OFDM), which is believed to be an attractive candidate
for the optimization of the radio interface of next 5G mobile communication
systems. Through a maximization of the Signal to Interference plus Noise Ratio
(SINR), this approach allows optimal and straightforward waveform design for
multicarrier systems at the Transmitter (Tx) and Receiver (Rx) sides. In this
paper, we analyze several characteristics of the proposed waveforms and shed
light on relevant features, which make it a powerful candidate for the design
of 5G system radio interface waveforms.
