Systems and methods for hybrid multi-layer signal decomposition

Abstract

A hybrid multi-layer method for decomposing of a source signal to a plurality of decomposed signals that can be used to collectively represent the source signal or recover the source signal. An example embodiment is a method that includes multi-layer (or multi-stage) signal decomposition to generate constant envelope signals without impact on the original signal. In an example embodiment, the method includes signal decomposition to maintain constant envelope properties and limit bandwidth expansion from the signal decomposition. The method includes decomposing a source signal into two first-stage decomposed signals that each have a constant envelope amplitude value. The method further includes iteratively decomposing each of the constant envelope signals into further-stage decomposed signals based on a threshold amplitude value at each iteration. The further-stage decomposed signals have a constant envelope with an envelope amplitude value in dependence of the threshold amplitude value at each iteration.