A system and method for orthogonal time frequency space communication and waveform generation compatible with OFDM. The method includes receiving a plurality of information symbols and encoding an N×M array containing the plurality of information symbols into a two-dimensional array of modulation symbols by spreading each of the plurality of information symbols with respect to both time and frequency. The two-dimensional array of modulation symbols is then transmitted along with one or more OFDM symbols using a plurality of narrowband subcarriers.