Paper Info
Title
Multidimensional signal reconstruction from multichannel acquisition
Abstract
We provide an analysis of the algorithms necessary for the optimal use of multidimensional signal reconstruction from multichannel acquisition. First, we provide computable conditions to test the matrix invertibility and propose algorithms to find a particular inverse. Second, we determine the existence of perfect reconstruction systems for given FIR analysis filters with some sampling matrices and some FIR synthesis polyphase matrices. Then, we present the development of an efficient algorithm designed to find a sampling matrix with maximum sampling rate and FIR synthesis polyphase matrix for given FIR analysis filters so that the system provides a perfect reconstruction. Once a particular synthesis matrix is found, we can characterize all synthesis matrices and find an optimal one according to a design criterion.
Year
DOI
Venue
2009
10.1109/ICASSP.2009.4960305
ICASSP
Keywords
DocType
ISSN
perfect reconstruction system,multichannel acquisition,FIR synthesis polyphase matrix,particular synthesis matrix,index terms— inverse matrix problem,mul- tichannel convolution.,synthesis matrix,sampling matrix,maximum sampling rate,hermite nor- mal form,FIR analysis filter,multidimensional signal reconstruction,matrix invertibility,perfect reconstruction,smith normal form
Conference
1520-6149
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Ka Lung Law1162.80
r m fossum21156.19
Minh N. Do31681133.55