This paper will consider wave and phase signal shaping techniques for the digital emulation of distortion effect processing. We examine in detail how to determine the wave and phase shaping functions with harmonic amplitude data only first, and then after including the harmonic phase data. Three distortion effects units are used to provide test data. Wave and phase shaping functions for the emulation of these effects are derived with the assistance of a super-resolution frequency-domain analysis technique. In complement to this, we describe an alternative time domain method for determining phase shaping functions using Dynamic Time Warping. Finally, we propose a method for assessing the frequency dependency of distortion effects to help the design of multiband wave and phase shaping functions.