Systems and methods for hybrid multi-layer signal decomposition

A method performed by a device for decomposition of a source signal, the method comprising:

• decomposing the source signal into two first-stage decomposed signals that each have a constant envelope amplitude value that is half of a maximum amplitude value of the source signal;
• and
• decomposing each of the two first-stage decomposed signals into a second-stage decomposed signal that has a constant envelope, a constant envelope amplitude value of each second-stage decomposed signal being equal to half of the maximum amplitude value of one of the first-stage decomposed signals, the source signal being recoverable from the second-stage decomposed signals.

A device for decomposition of a source signal, the device comprising:

• at least one controller configured to:
• decompose the source signal into two first-stage decomposed signals that each have a constant envelope amplitude value that is half of a maximum amplitude value of the source signal, and
• decompose each of the first-stage decomposed signals into a first second-stage decomposed signal and a second second-stage decomposed signal that each have a constant envelope, a constant envelope amplitude value of each first second-stage decomposed signal being equal to a threshold amplitude value, a constant envelope amplitude value of each second second-stage decomposed signal being equal to the constant envelope amplitude value of one of the first-stage decomposed signals minus the threshold amplitude value.

A non-transitory computer readable medium containing instructions for decomposition of a source signal, the non-transitory computer readable medium comprising instructions executable by a processor of a communication device for:

• decomposing the source signal into two first-stage decomposed signals that each have a constant envelope amplitude value that is half of a maximum amplitude value of the source signal;
• and
• decomposing each of the first-stage decomposed signals into a first second-stage decomposed signal and a second second-stage decomposed signal that each have a constant envelope, a constant envelope amplitude value of each first second-stage decomposed signal being equal to a threshold amplitude value, a constant envelope amplitude value of each second second-stage decomposed signal being equal to the constant envelope amplitude value of one of the first-stage decomposed signals minus the threshold amplitude value.