Title :
Linear transformations and the preservation of completeness
Author_Institution :
University of California, San Diego, La Jolla, CA, USA
fDate :
6/1/1972 12:00:00 AM
Abstract :
This paper considers the problem of transformation of functions in L2by linear time-invariant causal systems and the conditions under which this transformation preserves the completeness of sets in L2. The problem is of practical importance in system identification. Two easily applied sufficient conditions are presented.
Keywords :
Approximation methods; Banach spaces; Convolution; Functional analysis; Linear systems, time-invariant continuous-time; System identification; System identification; Time domain analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1099986
