Title :
Fundamental frequency response bounds of direct-form recursive switched-capacitor filters with capacitance mismatch
Author :
Petraglia, Antonio
Author_Institution :
Dept. of Electr. Eng., California Univ., Los Angeles, CA, USA
fDate :
4/1/2001 12:00:00 AM
Abstract :
A theoretical statistical analysis is developed to investigate the effects of random capacitance matching errors in the frequency response of recursive switched-capacitor filters implemented in direct form. As a result, with appropriate approximations, closed-form solutions for the mean and the standard deviation of the frequency response error are derived. The obtained expressions provide insight into the quantitative influence of capacitance ratio tolerance, numerator and denominator orders, passband and stopband ripples, and edge frequencies, and reveal existing tradeoffs among these parameters, so that the most efficient filter design can be found. The main theoretical results are extensively verified by simulation through Monte Carlo analysis to show the effectiveness of the proposed formulas
Keywords :
Monte Carlo methods; frequency response; recursive filters; sensitivity analysis; switched capacitor filters; Monte Carlo analysis; capacitance mismatch; capacitance ratio tolerance; closed-form solutions; denominator; direct-form recursive switched-capacitor filters; edge frequencies; efficient filter design; frequency response error; fundamental frequency response bounds; numerator; passband ripples; random capacitance matching errors; standard deviation; statistical analysis; stopband ripples; Degradation; Delay lines; Feedback; Frequency response; IIR filters; Matched filters; Operational amplifiers; Parasitic capacitance; Switches; Transfer functions;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
