DocumentCode :
1186245
Title :
Frequency Scaling of a Linear Time-Invariant Network by a Time-varying Function
Author :
Belal, A. ; Shenoi, B.A.
Volume :
29
Issue :
1
fYear :
1982
fDate :
1/1/1982 12:00:00 AM
Firstpage :
57
Lastpage :
58
Abstract :
Given a linear time-invariant 
network, with input 
and output 
, then the well-known frequency scaling theorem states that multiplication of all 
\´s and 
\´s by some constant 
is equivalent to changing the input to 
and the output to 
. We show here that when the multiplier is a time-varying function 
, the equivalent result is to change the input from to 
and the output from to 
where 
. Some illustrative examples are footnote[1]{given}. (1)In this correspondence means 
; but 
are inverse functions.
network, with input and output , then the well-known frequency scaling theorem states that multiplication of all \´s and \´s by some constant is equivalent to changing the input to and the output to . We show here that when the multiplier is a time-varying function , the equivalent result is to change the input from to and the output from to where . Some illustrative examples are footnote[1]{given}. (1)In this correspondence means ; but are inverse functions.Keywords :
Linear circuits, time-invariant; RLC circuits; Capacitance; Capacitors; Differential equations; Frequency; Impedance; Inductors; Kernel; Laplace equations; RLC circuits; Transforms;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1982.1085072
Filename :
1085072
Link To Document :
