JOINT MATHEMATICS COLLOQUIUMUNIVERSITY OF IDAHOWASHINGTON STATE UNIVERSITY |
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Abstract |
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| Frames have become a standard tool in signal
processing due to their flexibility and robustness in signal
representation. Frames can be thought of as redundant bases and tight
frames emulate orthonormal bases while having the added flexibility.
Tight frames are also desirable because they are numerically stable.
This talk will address how to convert a frame for a given Hilbert space
into a tight frame for the same space with the requirement that the
resulting tight frame vectors can be written as a linear combination of
the original frame vectors. The procedure uses the partial isometry
coming from the polar decomposition of the synthesis operator of the
starting frame.
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