Patent ID: 7512646

Claim:
A transmitter comprising: a modulator adapted to modulate a signal for transmission on a transmission medium based, at least in part, on information and in response to a complex sinusoid; an oscillator adapted to: generate a second phasor based, at least in part, on multiplying together a first phasor associated with the complex sinusoid with a delta phasor associated with a cyclic rate of the complex, the first phasor having a first real portion and a first imaginary portion, the second phasor having a second real portion and a second imaginary portion; combine the first imaginary portion with the first real portion to produce a first sum; scale the first sum according to a first scaling factor to produce an imaginary correction factor; combine the imaginary correction factor with the second imaginary portion of the second phasor to correct for a magnitude error of the second phasor; and update the complex sinusoid based, at least in part, on the corrected second phasor.