Random capacitance ratio error effects in the frequency response of switched-capacitor filters

This paper considers the effects of random, Gaussian distributed, capacitance ratio errors in the the frequency response of switched-capacitor filters. Closed-form expressions are given for the mean and the standard deviation of the error in the frequency response of a large class of filter approximations. Experimental results, obtained through simulations using the Monte Carlo method of computer analysis, are presented to verify the key formulas obtained in the theoretical study.