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Moments of the Input, Output, and Impulse Response Functions of Linear Systems About Arbitrary Points
Author(s) -
Diskin M. H.,
Boneh A.
Publication year - 1968
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr004i004p00727
Subject(s) - impulse response , laplace transform , lti system theory , impulse (physics) , linear system , mathematics , infinite impulse response , mathematical analysis , transfer function , control theory (sociology) , impulse invariance , computer science , physics , digital filter , engineering , control (management) , artificial intelligence , electrical engineering , filter (signal processing) , quantum mechanics , computer vision
A general expression is derived for the relation between the moments of the output, input, and impulse response functions of lumped linear time invariant systems about any three arbitrary points along the time axis. The derivation is given both by a method based on integration and summation operations and by a method using Laplace transforms. The latter method also gives the influence on their output of initial time lags in the input and in the impulse response function of linear systems.