Analysis and Efficient Computation of Instantaneous Power Distribution of Single-Carrier Signals

This paper analyzes statistical distribution of instantaneous power in pulse-shaped single-carrier (SC) modulation. Such knowledge is of significant importance to estimate several concerns associated with the non-linearity of power amplifiers, e.g., required back-off level or clipping distortion in amplified signals. However, existing works often rely on Monte-Carlo simulations, since analytical derivation of the statistical distribution of SC signals is a complex problem involving combined dependency of a constellation format and a pulse shape. In this paper, we tackle this problem and propose a new efficient analytical method by using the approximation of infinite number constellation points. Tight upper bounds for high-order pulse amplitude modulation (PAM) and quadrature amplitude modulation (QAM) can be calculated from the proposed method.