Effects of coefficient inaccuracy in switched-capacitor transversal filters

Author

Petraglia, Antonio ; Mitra, Sanjit K.

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Volume

38

Issue

9

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

977

Lastpage

983

Abstract

Coefficient inaccuracy effects in the frequency response of finite-impulse-response (FIR) switched-capacitor filters implemented in direct form are investigated. No assumption is made with respect to the filter coefficients, so that the results of the analysis are valid for both linear and nonlinear phase FIR filters. Assuming that the errors in the capacitor ratios realizing the tap coefficients are uncorrelated and have identical Gaussian distributions, an exact probability distribution function is derived for the error in the frequency response. It is shown that this distribution can be characterized by a Rayleigh distribution, which is then used to derive an upper bound for the expected stopband attenuation. Extensive simulation results are shown to support the analysis

Keywords

active filters; filtering and prediction theory; frequency response; probability; switched capacitor filters; Gaussian distributions; Rayleigh distribution; SC filter; capacitor ratios; coefficient inaccuracy; direct form; filter coefficients; finite-impulse-response; frequency response; probability distribution function; response error; stopband attenuation; switched-capacitor; tap coefficients; transversal filters; upper bound; Analytical models; Attenuation; Capacitors; Finite impulse response filter; Frequency response; Gaussian distribution; Nonlinear filters; Probability distribution; Transversal filters; Upper bound;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.83869

Filename

83869