Large-signal analysis of CMOS analogue functional elements using Fourier-series approximations

This paper discusses the large signal performance of CMOS analogue-functional elements. Fourier-series approximations are obtained for the transfer functions of the basic building blocks such as the linear CMOS transconductance element and the CMOS full-wave rectifier. Using these Fourier-series approximations, simple closed-form analytical expressions are obtained for the amplitudes of the harmonics at the output of a basic building block excited by a sinusoidal input signal. The analysis shows that, while the performance of the basic building blocks is near ideal at relatively small input amplitudes, performance degradation increases as the input amplitudes increase. On the other hand, since these expressions ignore the distortion mechanisms resulting from body effect and channel-length modulation, they cannot reliably predict the performance at small input signal levels. It appears, therefore, that body-effect and channel-length modulation must be taken into consideration for small-signal analysis.