the communications system to thereby reduce or eliminate a cyclostationary signature of a transmitted communications waveform and thus increase a covertness measure of the communications system the set of m gaussian distributed orthonormal functions may be updated modified and or changed as often as necessary to further increase and or maximize a covertness measure of the communications system a receiver of the communications system may be equipped with substantially the same algorithm s that are used by the transmitter of the communications system and the receiver may be substantially synchronized with the transmitter to thereby re create and use at the receiver the m gaussian distributed orthonormal functions for detection of communications information the set of m orthonormal functions may in some embodiments be a set of orthogonal but not necessarily orthonormal functions in further embodiments the set of m orthonormal functions may be non gaussian distributed and may be for example uniformly distributed rayleigh distributed and or distributed in accordance with any other known continuous and or discrete and or arbitrary distribution in still further embodiments of the invention different functions elements of an m ary orthonormal and or orthogonal signaling alphabet may be differently distributed known systems and or methods of lpi lpd lpe and or jam resistant jr burst communications burstcomm may combine in general hybrid spread spectrum waveforms comprising frequency hopping fh direct sequence pseudo noise dspn spreading and or time hopping th to increase covertness and or resistance to jamming transmitting a fh.