Title :
On Engineering Education, Superposition, and Commutativity
Author :
Sandberg, Irwin W.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Texas at Austin, Austin, TX
Abstract :
Attention is focused on continuous-space shift-invariant systems with continuous system maps and inputs and outputs that are elements of . Results are described showing that infinite superposition can fail in this important setting, and that continuous shift-invariant linear mappings need not commute with the operation of integration (even when the two composite operations are well defined).
Keywords :
integration; linear systems; signal processing; commutativity; continuous system maps; continuous-space shift-invariant systems; engineering education; integration operation; linear systems; superposition; Commutativity; engineering education; linear systems; superposition;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2008.922442
