On the design of non-(bi)orthogonal pulse-shaped FDM for doubly-dispersive channels

We consider the design of max-SINR pulse-shaped (PS) frequency domain modulation (FDM), where the signal to interference-plus-noise ratio (SINR) is defined in accordance with inter-symbol and intercarrier interference (ISI/ICI) shaping rather than complete ISI/ICI suppression. Because the transmitter is assumed to know the channel scattering function but not the channel realization, the resulting max-SINR pulses are non-(bi)orthogonal. For this case, numerical results suggest that max-SINR systems designed for ISI/ICI-shaping achieve higher outage capacity than those designed for ISI/ICI-suppression. An outage capacity analysis is also used to obtain rough design guidelines for max-SINR non-(bi)orthogonal PS-FDM, since the design paradigm differs from that of (bi)orthogonal PS-FDM.