Systems, methods, and apparatuses for linear envelope elimination and restoration transmitters

Systems, methods, and apparatuses are provided for linear envelope elimination and restoration transmitters that are based on the polar modulation operating in conjunction with the orthogonal recursive predistortion technique. The polar modulation technique enhances the battery life by dynamically adjusting the bias level. Further, the analog orthogonal recursive predistortion efficiently corrects amplitude and phase errors in radio frequency (RF) power amplifiers (PA) and enhances the PA output capability. Additionally, even-order distortion components are used to predistort the input signal in a multiplicative manner so that the effective correction bandwidth is greatly enhanced. Also, the predistortion scheme, which uses instantaneously feed-backed envelope distortion signals, allows for correction of any distortion that may occur within the correction loop bandwidth, including envelope memory effects.