To reflect advantages of a constant phase modulation waveform, the invention provides a pulse amplitude modulated PAM waveform that is a superposition of Q0≦2L−1 PAM component pulses in each symbol interval such that a significant portion of signal energy over each symbol interval is within the Q0 PAM component pulses. The present invention distributes most signal energy in one pulse and progressively lower energies in the remaining Q0−1 pulses of a symbol interval. The Laurent Decomposition is a special case of the present invention, but the present invention exhibits the energy distribution of the Laurent Decomposition in non-binary CPM waveforms and in multi-h (binary and non-binary) CPM waveforms, where h is a modulating index. All energy is distributed among only Q=2L−1 pulses in each symbol interval, though only Q0