Symbolic Analysis of Power Spectrum of CMOS Cross Couple Oscillator

This paper proposes for the first time symbolic formula of the power spectrum of CMOS Cross Couple Oscillator and its modified circuit. Many principles existed to derived power spectrum in microwave textbook such as impedance, admittance parameters, ABCD, H parameters, etc. It can be compared by graph of power spectrum which methodology is the best from the point of view of practical measurement setup such as condition of impedance parameter which used superposition of current to derived (its current injection at the other port of the circuit is zero, which is impossible in reality). Four graphs of impedance parameters of cross couple oscillator are proposed. After that four graphs of scattering parameters of CMOS cross coupled oscillator will be shown.




References:
[1] H. J. Carlin, “The Scattering Matrix in Network Theory”, IRE
Tranactions on Circuit Theory”, June 1956, pp. 88-97.
[2] K. Kurokawa, “Power Waves and the Scattering Matrix”, IEEE
Transactions on Microwave Theory and Technique, March 1965, pp.
194-202.
[3] D. M. Pozar, “Microwave Engineering”, 2nd edition, Wiley, copyright
1998
[4] B. Razavi, “RF Microelectronics”, 2nd edition, Prentice-Hall, copyright
2012.
[5] D. O. Pederson, K. Mayaram, “Analog Integrated Circuits for
Communication”, Principles, Simulation and Design, 2nd edition,
Springer Verlag, copyright 2008.