A Bandwidth Efficient Constant Envelope Modulation

This paper presents an innovative, bandwidth efficient, constant envelope modulation technique that was originally developed by Resnikoff and Tigerman. This modulation technique applies the properties of phase realizability, phase shift orthogonality, and compact phase support to devise a bandwidth efficient modulation waveform that is also resistant to intersymbol interference. This paper defines the general complex envelope waveform and develops the general phaseform design process. An example phaseform is provided with accompanying shift orthogonality test results. In addition, this paper demonstrates power spectral density and bandwidth performance using the phaseform provided and M-ary symbols. The bandwidth results compare well to traditional continuous phase modulation and favorably to M-ary phase shift keying.