Sufficient conditions and stability of wavelet superframes

Abstract

Superframes have been introduced and developed recently. In this article, we give some sufficient conditions for a super wavelet system to be a superframe with explicit frame bounds. We also study the stability of wavelet superframes and give explicit stability bounds.

Keywords:

• wavelets
• frames
• superframes
• wavelet superframes

AMS Subject Classifications:

• 42C40
• 42C15

Acknowledgements

The authors thank the referees very much for valuable suggestions which helped to improve this article. This work was supported partially by the National Natural Science Foundation of China (10971105 and 10990012) and the Natural Science Foundation of Tianjin (09JCYBJC01000).