Fractional Differential Amplitude Hierarchical Feature of MPSK Signals

Fractional calculus signal can be regarded as generalized amplitude-phase modulation. Its amplitude changes with frequency as fractional power exponent while its phase changes with frequency as generalized Hilbert transform. So fractional differential is able to transiently detect and characterize M-ary phase shift keying (MPSK) signals. The paper implements special digital signal sequences to analyze the relationship between fractional differential amplitude hierarchical feature and the M value of MPSK signals and to study the relationship between the corresponding models of different phases and its fractional differential amplitude hierarchical feature in detail