This paper proposes a technique to analyze distortion in analog CMOS integrated circuits. The proposed technique captures a transistor's nonlinearity using a twodimensional Taylor series with coefficients that depend on the transconductance-to-current ratio (gm/ID) of a transistor. To explore the effectiveness of the proposed technique, a commonsource amplifier is designed. The harmonics of the amplifier are calculated using both the gm/ID technique and Cadence's periodic steady state (PSS) analysis over a wide range of gm/ID. The results indicate a close match (i.e. a discrepancy less than 2 dB from gm/ID=8 to 30) and show that the proposed technique can indeed be incorporated in a gm/ID design flow.
I. INTRODUCTIONg m /I D design methodology is a powerful technique that allows designers to quickly size up transistors. The g m /I D design methodology was originally proposed in [2]-[3] and extended to incorporate noise analysis in [4]. A survey of the published literature indicates that there is no prior publication on g m /I D based distortion analysis. This paper describes a procedure to include distortion as part of the g m /I D design flow. Section II describes the underlying principles of g m /I D design flow, introduces a two-dimensional Taylor series approximation, and describes means of obtaining g m /I D based Taylor series coefficients. Section III analyzes the distortion of a common-source amplifier as a means to compare g m /I D based design to Cadence simulation. Section IV describes the limitations of g m /I D based distortion analysis.