On Matrix Fourier Multipliers for Semi-orthonormal Binary Framelets and Perturbation of Gabor Frames and Applications
Qingjiang Chen, Bingzhe Wei, Yanbo Zhang
Available Online April 2015.
- https://doi.org/10.2991/icmra-15.2015.276How to use a DOI?
- Bivariate Gabor frames; dual Gabor frames; Banach space; time-frequency analysis; wavelet transfers; filter banks; paraunitary operator
- Mechanical engineering is the profession in which knowledge of the mathe -matical and natural sciences. The concept for matrix Fourier multipliers concerning bivariate tight multi-wavelet frames is introduced in this paper. Based on matrix theory, a sufficient and necessary condition for a matrix–valued function, which becomes matrix Fourier multipliers for bivariate tight multi-wavelet frames is provided. The existence of bivariate Gabor frames with compact support is discussed. Sufficient conditions for irregular bivariate Gabor system to be frames are presented by means of frame multiresolution analysis and paraunitary vector filter bank theory.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Qingjiang Chen AU - Bingzhe Wei AU - Yanbo Zhang PY - 2015/04 DA - 2015/04 TI - On Matrix Fourier Multipliers for Semi-orthonormal Binary Framelets and Perturbation of Gabor Frames and Applications BT - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation PB - Atlantis Press SP - 1428 EP - 1431 SN - 2352-538X UR - https://doi.org/10.2991/icmra-15.2015.276 DO - https://doi.org/10.2991/icmra-15.2015.276 ID - Chen2015/04 ER -