Abstract: The noise performance of a non-linear circuit design is measured prior to circuit fabrication by a circuit modelling and analysis mechanism, which simulates each noise source as a reduced complexity continuous Gaussian noise waveform. A respective noise source (e.g. thermal or shot) is modelled as a time domain sequence of continuously connected third order polynomial signal waveforms, forming a cubic spline that interconnects successively occurring Gaussian signal amplitude values. For each type of noise source, its associated Gaussian function is determined by the product of the constant multipliers associated with that type of source. The number of points processed for each noise source depends upon the time width of a noise analysis window.