DocumentCode
1190831
Title
Repeated convolutions of Butterworth-filtered spectra
Author
Ali, Adel A.
Volume
31
Issue
6
fYear
1984
fDate
6/1/1984 12:00:00 AM
Firstpage
584
Lastpage
587
Abstract
For a low-pass 
-pole Butterworth filtered spectrum, repeated convolutions are derived in a closed form. Repeated convolution of order 
results when a signal is convolved with itself times. The derivation is based on the "convolution-multiplication" property of the Fourier transform. The results are useful in determining the FM spectra of Butterworth filtered Gaussian processes.
-pole Butterworth filtered spectrum, repeated convolutions are derived in a closed form. Repeated convolution of order results when a signal is convolved with itself times. The derivation is based on the "convolution-multiplication" property of the Fourier transform. The results are useful in determining the FM spectra of Butterworth filtered Gaussian processes.Keywords
Butterworth filters; Convolution; Capacitors; Circuits and systems; Convolution; Filters; Fourier transforms; Frequency; Operational amplifiers; Sampling methods; Switches; Switching circuits;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/TCS.1984.1085539
Filename
1085539
Link To Document