A power amplification system comprises a pre-processor including a wavefront multiplexer, a set of power amplifiers, and a post-processor including a wavefront demultiplexer. The wavefront multiplexer receives concurrently N input signals, N being an integer greater than 2, performs a wavefront multiplexing transform on the N input signals by attaching N wavefronts to the N input signals respectively, and generates N first output signals. The N wavefronts are unique and mutually orthogonal. The wavefront multiplexing transform has an inverse. The N power amplifiers amplify the N first output signals and generate N amplified signals. The wavefront demultiplexer performs the inverse of the wavefront multiplexing transform on the N amplified signals and generates N second output signals, the N second output signals corresponding respectively to the N input signals. Each of the N second output signals is an amplified version of a corresponding one of the N input signals.