Please use this identifier to cite or link to this item:
|Title:||Wavelet filter functions, the matrix completion problem, and projective modules over C(double-struck T signn)|
|Authors:||Packer, J.A. |
Finitely generated projective modules
|Citation:||Packer, J.A., Rieffel, M.A. (2003). Wavelet filter functions, the matrix completion problem, and projective modules over C(double-struck T signn). Journal of Fourier Analysis and Applications 9 (2) : 101-116. ScholarBank@NUS Repository. https://doi.org/10.1007/s00041-003-0010-4|
|Abstract:||We discuss how one can use certain filters from signal processing to describe isomorphisms between certain projective C(double-struck T signn)-modules. Conversely, we show how cancellation properties for finitely generated projective modules over C(double-struck T signn) can often be used to prove the existence of continuous high pass filters, of the kind needed for multivariate wavelets, corresponding to a given continuous low-pass filter. However, we also give an example of a continuous low-pass filter for which it is impossible to find corresponding continuous high-pass filters. In this way we give another approach to the solution of the matrix completion problem for filters of the kind arising in wavelet theory.|
|Source Title:||Journal of Fourier Analysis and Applications|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 11, 2018
WEB OF SCIENCETM
checked on Jul 3, 2018
checked on Mar 11, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.