Patent ID: 6944231

Claim:
A method comprising the steps of: receiving a multiple-carrier phase-modulated signal; converting the multiple-carrier phase-modulated signal from analog to digital, yielding a digital signal; performing a Fourier transform on the digital signal, yielding a plurality of real and imaginary elements associated with an n th carrier, where n is an integer; determining a magnitude of an in-phase component for n th carrier from a magnitude of at least one real element and at least one imaginary element associated with a second harmonic of the n th carrier; determining a magnitude of a quadrature component for the n th carrier from a magnitude of at least one the real element and at least one imaginary elements associated with the n th carrier; establishing a sign for the in-phase component for the n th carrier from a first subset of the plurality of real and imaginary elements associated with the n th carrier; establishing a sign for the quadrature component for the n th carrier from a second subset of the plurality of real and imaginary elements associated with the n th carrier; processing the in-phase component and the quadrature component to yield an output signal associated with the n th carrier.