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- Title
RATIONAL TIME-FREQUENCY VECTOR-VALUED SUBSPACE GABOR FRAMES AND BALIAN-LOW THEOREM.
- Authors
LI, YUN-ZHANG; YAN ZHANG
- Abstract
This paper addresses vector-valued subspace Gabor frames with rational time-frequency product. By introduction of a suitable Zak transform matrix, we characterize vectorvalued subspace Gabor frames, Riesz bases and orthonormal bases. We characterize the uniqueness of Gabor duals of type I and type II. Using the uniqueness results, we extend the classical Balian-Low theorem to vector-valued subspace Gabor frames. We also point out Ron-Shen duality principe does not hold for a general vector-valued subspace Gabor frame.
- Subjects
TIME-frequency analysis; VECTOR-valued measures; SUBSPACES (Mathematics); FRAMES (Vector analysis); ZAK transform; ORTHONORMAL basis; APPLIED mathematics
- Publication
International Journal of Wavelets, Multiresolution & Information Processing, 2013, Vol 11, Issue 2, p1
- ISSN
0219-6913
- Publication type
Article
- DOI
10.1142/S0219691313500136