Title
A Single Matrix Representation for General Digital Filter Structures [Lecture Notes].
Abstract
A matrix representation of a general single-input single-output (SISO) digital filter structure is addressed, proposing a single matrix that stores the complete description of the filter in a very compact and functional format. The proposed matrix contains the structural information corresponding to the block diagram (BD) connections and, at the same time, it can be seen as a valid computational algorithm to implement the filter in the time domain. With this matrix, the gap between the signal flow graph (SFG) and a bit-true implementation of the filter can be considerably reduced. Finally, simple methods to derive the matrix representation from/onto the block diagram and the state-space (SS) mapping are also described and illustrated with some examples.
Year
DOI
Venue
2011
10.1109/MSP.2011.942837
IEEE Signal Process. Mag.
Keywords
Field
DocType
time domain,state space,digital signal processing,signal flow graph,mathematical model,digital filter,sparse matrices,digital filters,mathematical models,matrix representation
Essential matrix,Digital filter,Logical matrix,Computer science,Matrix (mathematics),Theoretical computer science,State-transition matrix,Sparse matrix,Matrix representation,Block matrix
Journal
Volume
Issue
ISSN
28
6
1053-5888
Citations 
PageRank 
References 
3
0.47
3
Authors
4
Name
Order
Citations
PageRank
J. D. Osés del Campo140.83
Fernando Cruz-Roldán211119.33
Manuel Blanco-Velasco331430.57
Sergio L. Netto414126.27