Effect of filter frequency response on the uncertainty in measuring statistical estimators of input noise

Journal Article · Fri Feb 01 04:00:00 EST 1985 · Rev. Sci. Instrum.; (United States)

DOI:https://doi.org/10.1063/1.1138352· OSTI ID:6053772

Roberts, M J; Blalock, T V

It is shown that in a system consisting of a bandpass filter followed by an ideal linear detector and then an integrator, with white noise as the system input, the statistical uncertainty of the output of the integrator depends on the shape of the bandpass filter power transfer function. That is, for a constant integration time and a constant equivalent noise bandwidth (defined in the usual sense), the statistical uncertainty of the integrator output is a function of the shape of the bandpass filter power transfer function. A new equivalent noise bandwidth is proposed to account for this variation with filter shape so that the relations derived by Rice for rectangular cutoff bandpass filters can be used.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
• DOE Contract Number: AC05-84OT21400
• OSTI ID: 6053772
• Journal Information: Rev. Sci. Instrum.; (United States), Journal Name: Rev. Sci. Instrum.; (United States) Vol. 56:2; ISSN RSINA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420800* -- Engineering-- Electronic Circuits & Devices-- (-1989)
ELECTRIC FILTERS
FILTERS
FUNCTIONS
MATHEMATICS
NOISE
RESPONSE FUNCTIONS
SPECTRAL RESPONSE
STATISTICS