Analyses of Pulse-Shaped Signals based on Two-Dimensional Probability Distributions

This paper presents the analyses of the pulse-shaped signals based on the probability distribution on the in-phase and quadrature-phase (I/Q) complex plane. The two-dimensional distribution is obtained quickly by the recursive probability mass function method. In this paper, we analyze the 8PSK, 16APSK, and 32APSK signals defined in the DVB-S2 standard. The results indicate that the peak amplitude of each I/Q signal for 8PSK and 32APSK can be reduced by rotating the placement of the symbols. The two-dimensional distribution-based analysis provides valuable insights that cannot be obtained with existing instantaneous power distribution-based analyses.