Proceedings of the 2016 International Conference on Sensor Network and Computer Engineering

A General Way of Constructing Symmetric Gabor Frames

Authors
Guochang Wu, Xiuqin Yang
Corresponding Author
Guochang Wu
Available Online July 2016.
DOI
10.2991/icsnce-16.2016.58How to use a DOI?
Keywords
Signal processing; Gabor system; Frame; Symmetric property
Abstract

Gabor frames with redundancy property can achieve efficient reconstruction, which play a vital role in applied mathematics and engineering fields. In this paper, symmetric or antisymmetric Gabor frames about any symmetric points with any invertible matrices in higher dimensions are constructed from Gabor frames given. The existing results with symmetric property about origin in one dimension are generalized to the case of any invertible matrices and any symmetric points in higher dimensions.

Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2016 International Conference on Sensor Network and Computer Engineering
Series
Advances in Engineering Research
Publication Date
July 2016
ISBN
10.2991/icsnce-16.2016.58
ISSN
2352-5401
DOI
10.2991/icsnce-16.2016.58How to use a DOI?
Copyright
© 2016, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Guochang Wu
AU  - Xiuqin Yang
PY  - 2016/07
DA  - 2016/07
TI  - A General Way of Constructing Symmetric Gabor Frames
BT  - Proceedings of the 2016 International Conference on Sensor Network and Computer Engineering
PB  - Atlantis Press
SP  - 293
EP  - 297
SN  - 2352-5401
UR  - https://doi.org/10.2991/icsnce-16.2016.58
DO  - 10.2991/icsnce-16.2016.58
ID  - Wu2016/07
ER  -