Title
Optimal approximation of discrete-time multirate systems on Hilbert spaces
Abstract
We study discrete-time (m,n)-multirate systems on separable Hilbert spaces, solving the problem of approximating such a system by one which has a shorter multirate period (m∕q,n∕q), optimally in the Hilbert–Schmidt norm. We work in the state–space setting, providing two state–space representations of the optimal approximant which are expressed in terms of a state–space representation of the original system.
Year
DOI
Venue
2020
10.1016/j.sysconle.2020.104735
Systems & Control Letters
Keywords
DocType
Volume
Multirate system,(m,n)-periodic system,Optimal approximation,Harmonic transfer function,Alias component analysis,Hilbert space
Journal
142
ISSN
Citations 
PageRank 
0167-6911
0
0.34
References 
Authors
1
1
Name
Order
Citations
PageRank
Mikael Kurula111.71