Orthogonally multiplexed orthogonal amplitude modulation family

A family of coherent orthogonally multiplexed orthogonally amplitude-modulated (OMOAM) signals is presented. The OMOAM signal is constituted by orthogonally multiplexing AI component signals, each constructed by a data-chosen group of L orthogonal pulse-amplitude-modulated basis signals. A generalized signal format is proposed to model the OMOAM signal in a unified way that the family contains not only classical orthogonally multiplexed modulations as special embodiments, but also a multitude of new modulations. A generalized optimum receiver for coherently demodulating OMOAM signals is developed and analyzed in terms of the bit error probability for the additive white Gaussian noise channel. The spectral characteristics of the OMOAM signals constructed from various time-limited and band-limited basis sets are studied in terms or the fractional out-of-band power containment. Several general trends of error and spectral performance characteristics are exploited.