A novel energy operator algorithm for voltage envelope tracking

In this paper, a novel algorithm for tracking the voltage envelope based on calculating the energy operator of a sinusoidal waveform is presented. Like other energy operator algorithms, the algorithm is fast and robust and uses only a few samples to calculate the energy. Unlike the existing algorithms, the proposed algorithm is not sensitive to the noise or the distortion in the waveform. The mathematical derivation of the continuous form is presented, and a simple discrete form is then deduced. The simulations show the capability of the algorithm to track different shapes of envelopes associated with high signal-to-noise ratio (SNR).