|
|
|
|
| LEADER |
01000naa a22002652 4500 |
| 001 |
NLM165808144 |
| 003 |
DE-627 |
| 005 |
20231223105505.0 |
| 007 |
tu |
| 008 |
231223s2006 xx ||||| 00| ||eng c |
| 028 |
5 |
2 |
|a pubmed24n0553.xml
|
| 035 |
|
|
|a (DE-627)NLM165808144
|
| 035 |
|
|
|a (NLM)17022265
|
| 040 |
|
|
|a DE-627
|b ger
|c DE-627
|e rakwb
|
| 041 |
|
|
|a eng
|
| 100 |
1 |
|
|a Zhou, Jianping
|e verfasserin
|4 aut
|
| 245 |
1 |
0 |
|a Multidimensional multichannel FIR deconvolution using Gröbner bases
|
| 264 |
|
1 |
|c 2006
|
| 336 |
|
|
|a Text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a ohne Hilfsmittel zu benutzen
|b n
|2 rdamedia
|
| 338 |
|
|
|a Band
|b nc
|2 rdacarrier
|
| 500 |
|
|
|a Date Completed 20.11.2006
|
| 500 |
|
|
|a Date Revised 26.10.2019
|
| 500 |
|
|
|a published: Print
|
| 500 |
|
|
|a Citation Status MEDLINE
|
| 520 |
|
|
|a We present a new method for general multidimensional multichannel deconvolution with finite impulse response (FIR) convolution and deconvolution filters using Gröbner bases. Previous work formulates the problem of multichannel FIR deconvolution as the construction of a left inverse of the convolution matrix, which is solved by numerical linear algebra. However, this approach requires the prior information of the support of deconvolution filters. Using algebraic geometry and Gröbner bases, we find necessary and sufficient conditions for the existence of exact deconvolution FIR filters and propose simple algorithms to find these deconvolution filters. The main contribution of our work is to extend the previous Gröbner basis results on multidimensional multichannel deconvolution for polynomial or causal filters to general FIR filters. The proposed algorithms obtain a set of FIR deconvolution filters with a small number of nonzero coefficients (a desirable feature in the impulsive noise environment) and do not require the prior information of the support. Moreover, we provide a complete characterization of all exact deconvolution FIR filters, from which good FIR deconvolution filters under the additive white noise environment are found. Simulation results show that our approaches achieve good results under different noise settings
|
| 650 |
|
4 |
|a Journal Article
|
| 650 |
|
4 |
|a Research Support, U.S. Gov't, Non-P.H.S.
|
| 700 |
1 |
|
|a Do, Minh N
|e verfasserin
|4 aut
|
| 773 |
0 |
8 |
|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 15(2006), 10 vom: 08. Okt., Seite 2998-3007
|w (DE-627)NLM09821456X
|x 1941-0042
|7 nnns
|
| 773 |
1 |
8 |
|g volume:15
|g year:2006
|g number:10
|g day:08
|g month:10
|g pages:2998-3007
|
| 912 |
|
|
|a GBV_USEFLAG_A
|
| 912 |
|
|
|a SYSFLAG_A
|
| 912 |
|
|
|a GBV_NLM
|
| 912 |
|
|
|a GBV_ILN_350
|
| 951 |
|
|
|a AR
|
| 952 |
|
|
|d 15
|j 2006
|e 10
|b 08
|c 10
|h 2998-3007
|