Preconditioning of Finite frames
Reading Materials:
Preconditioning techniques in frame theory and probabilistic frames,
[pdf] K. Okoudjou -Lecture Notes from my lecture at the AMS 2015 Short Course
on Finite Frame Theory: A Complete Introduction to Overcompleteness. (Please skip sections 1.3 and 3.1 through 3.4.)
Scalable frames and convex geometry (with G. Kutyniok
and F. Philipp), [pdf],
Contemp. Math., Vol. 626 (2014), 19-32.
Measures of scalability (with X. Chen, G. Kutyniok,
F. Philipp, and R. Wang), [pdf],
to appear in IEEE Trans. Inf. Theory,
Scaling Laplacian pyramids, (with Y. Hur), [pdf],
SIAM J. Matrix Anal. Appl., 36(1) (2015), 348-365.
Scalable frames (with Gitta Kutyniok, Friedrich
Philipp and Kaitlyn E. Tuley),
[pdf], [ps], Linear
Algebra and its Applications 438 (2013) 2225–2238.
Lectures:
Preconditioning of finite frames: [pdf] (I plan to cover sections 1 through 4, and if time permits talk about sections 5.)
Worksheet:
MATLAB code:
Further reading: