Evaluation of Error Vector Magnitude due to Combined IQ Imbalances and Phase Noise

Novel closed form expressions for the Error Vector Magnitude (EVM) are presented. The expressions combine IQ amplitude and phase imbalances, DC offsets along with phase noise. Both the Gaussian and the Tikhonov probability density function are utilized for the oscillator phase noise distribution.
The explicit conditions when EVM computations based on Tikhonov distribution converge to a Gaussian based are investigated. Furthermore, the application of the proposed EVM expressions is demonstrated by including phase noise masks, providing a direct means to Phase Locked Loop/Voltage Controlled Oscillator design parameters. Measurements are used to validate the proposed expressions.