Sensitivity of classical filter transfer functions

Author

Corral, Celestino A. ; Lindquist, Claude S.

Author_Institution

Motorola Inc., Boynton Beach, FL, USA

Volume

1

fYear

2001

fDate

2001

Firstpage

45

Abstract

We present here the sensitivity of classical filter transfer functions that are polynomial approximations to the ideal brick-wall magnitude response. The transfer function is decomposed into the part corresponding to the passband ripple parameter and the approximating polynomial. It is shown that the sensitivity has a complementary transfer function response. With these sensitivity relations, it is possible to relate filter parameter variations to any part of the circuit implementing the transfer function. Examples are submitted and discussed to show the usefulness of these new results in providing a more thorough assessment of filter performance potential and limitations

Keywords

band-pass filters; filtering theory; polynomial approximation; sensitivity analysis; transfer functions; approximating polynomial; classical filter transfer functions; complementary transfer function response; filter parameter variations; filter performance limitations; filter performance potential; ideal brick-wall magnitude response; passband ripple parameter; polynomial approximations; sensitivity; sensitivity relations; transfer function; transfer function implementation circuit; Algorithm design and analysis; Circuits; Digital filters; Frequency; Passband; Polynomials; Prototypes; Sensitivity analysis; Systems engineering and theory; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2001. MWSCAS 2001. Proceedings of the 44th IEEE 2001 Midwest Symposium on

Conference_Location

Dayton, OH

Print_ISBN

0-7803-7150-X

Type

conf

DOI

10.1109/MWSCAS.2001.986111

Filename

986111