DocumentCode :
1400588
Title :
A note on time series and the use of jump functions in approximate analysis
Author :
Cruickshank, A.J.O.
Volume :
102
Issue :
1
fYear :
1955
fDate :
3/1/1955 12:00:00 AM
Firstpage :
81
Lastpage :
87
Abstract :
The behaviour of filters having jump-function inputs is investigated. The output of the filter is approximated by a jump function, and the ratio between the Laplace transforms of the two jump functions defines the jump-transfer function of the filter. A serial operator for the filter can then be written down, and approximate analysis carried out using time series. A method of deriving a serial number for any time function having an analytical form is stated. Tables are given showing the jump-transfer function and serial operator for commonly occurring filters, and a comparison is made with the method due to Tustin of calculating approximate responses. A high degree of mathematical rigour has not been aimed at in the treatment.
Keywords :
filters;
fLanguage :
English
Journal_Title :
Proceedings of the IEE - Part C: Monographs
Publisher :
iet
ISSN :
0369-8904
Type :
jour
DOI :
10.1049/pi-c.1955.0012
Filename :
5244570
Link To Document :
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