A new way of decomposition of tangential and orbital noise into phase noise and amplitude noise shown with a simple 2-D oscillator

Low oscillator phase noise is crucial for the performance of nearly all communication systems. There are very good, mathematically rigorous theories describing the noise processes in oscillating circuits and the resulting output signal corrupted by phase noise and orbital noise. Although these theories describe the oscillator circuit in a correct manner, the results were not yet applied to a common receiver. In this paper, a simple mathematical oscillator is used to show that the theory describing noise in oscillators has to be adapted for the sake of describing the phase noise correctly which finally corrupts the demodulation results of the receiver.