عنوان مجله
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Proceedings of the Institute of Mathematics and Mechanics
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چکیده
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Tight frames are similar to orthogonal bases, except that
the frame coefficients are not unique, but they are stable in calculations
and numerical algorithms. Not all frames are tight frames, but some
have the ability to become tight frames. These frames are called scalable frames. In this article, we extend this good property of frames to
G-frames. For this purpose, we define the scalable G-frame based on the
diagonal operators, and obtain a preconditioner for its analysis operator
by block diagonal operator. We also provide the necessary and sufficient conditions for the scalability of the G-frames based on the frames
induced by the G-frames.
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