Wireless communications system for transmitting and receiving data with increased data rates and robustness

A method of generating a group of unique composite waveforms, corresponding to input data symbols, to transmit data represented by the symbols through a transmission medium, in which each of the composite waveforms is derived as a function of: (A) Selection of K waveforms from a set of mutually orthogonal component waveforms M to produce selected component waveforms K for each of the data symbols, where 2 <= K <= M - 1; and (B) processing contemporary portions of the selected waveforms K to produce, at least in part, the composite waveform, representative of the symbol.