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 :
