1. A method of enforcing a threshold peak to average power ratio in a wireless communications environment, comprising: assessing a piecewise linear approximation that resides within an ideal saturation region based on a joint probability distribution of in-phase and quadrature values associated with a transmitted signal; saturating both of the in-phase and quadrature values associated with the transmitted signal if power associated with the transmitted signal lies outside a region encompassed by the piecewise linear approximation; and adjusting threshold values of the piecewise linear approximation based on an analysis of the joint probability distribution of the transmitted signal to determine areas within the ideal saturation region where a transmitted signal is more likely to reside in order to reduce a likelihood of a transmitted signal residing outside the piecewise linear approximation while within the ideal saturation region.