Stochastic differential equations (3rd ed.): an introduction with applications
Stochastic differential equations (3rd ed.): an introduction with applications
Efficient AC and noise analysis of two-tone RF circuits
DAC '96 Proceedings of the 33rd annual Design Automation Conference
Efficient methods for simulating highly nonlinear multi-rate circuits
DAC '97 Proceedings of the 34th annual Design Automation Conference
Phase noise in oscillators: a unifying theory and numerical methods for characterisation
DAC '98 Proceedings of the 35th annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Noise in Radio Frequency Circuits: Analysis and Design Implications
ISQED '01 Proceedings of the 2nd International Symposium on Quality Electronic Design
Noise Macromodel for Radio Frequency Integrated Circuits
DATE '03 Proceedings of the conference on Design, Automation and Test in Europe - Volume 1
Bibliography on cyclostationarity
Signal Processing
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In this paper we consider the important problem of noise analysis of non-autonomous nonlinear RF circuits in presence of input signal phase noise. We formulate this problem as a stochastic differential equation and solve it in the presence of circuit white noise sources. We show that the output noise of a nonlinear non-autonomous circuit, driven by a periodic input signal with phase noise, is stationary and not cyclostationary (as would be predicted by traditional analyses). We also show that effect of input signal phase noise is to act as additional white noise source. This result is derived using a full nonlinear analysis of the problem and cannot be predicted by traditional linear analysis based techniques. Input signal phase noise can be an important portion of the overall output noise of the non-autonomous circuit. In our opinion, existing analyses have not considered this effect in a rigorous manner. We also relate this solution to results of the existing nonlinear time domain and frequency domain methods of noise analysis and point out the modifications required for the present techniques. We illustrate our technique using an example.