Introduction to finite frame theory
PG Casazza, G Kutyniok, F Philipp - Finite frames: theory and applications, 2013 - Springer
To date, frames have established themselves as a standard notion in applied mathematics,
computer science, and engineering as a means to derive redundant, yet stable …
computer science, and engineering as a means to derive redundant, yet stable …
[图书][B] An introduction to finite tight frames
SFD Waldron - 2018 - Springer
This book gives a unified introduction to the rapidly developing area of finite tight frames.
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …
Fifteen years ago, the existence of equal-norm tight frames of n> d vectors for Rd and Cd …
Classes of finite equal norm Parseval frames
PG Casazza, N Leonhard - Contemporary Mathematics, 2008 - books.google.com
Classes of finite equal norm Parseval frames Page 22 http://dx. doi. org/10.1090/conm/451/08755
Contemporary Mathematics Volume 451, 2008 Classes of Finite Equal Norm Parseval Frames …
Contemporary Mathematics Volume 451, 2008 Classes of Finite Equal Norm Parseval Frames …
A characterization of projective unitary equivalence of finite frames and applications
Many applications of finite tight frames (eg, the use of SICs and mutually unbiased bases
(MUBs) in quantum information theory and harmonic frames for the analysis of signals …
(MUBs) in quantum information theory and harmonic frames for the analysis of signals …
Low-coherence frames from group Fourier matrices
M Thill, B Hassibi - IEEE Transactions on Information Theory, 2017 - ieeexplore.ieee.org
Many problems in areas such as compressive sensing and coding theory seek to design a
set of equal-norm vectors with large angular separation. This idea is essentially equivalent …
set of equal-norm vectors with large angular separation. This idea is essentially equivalent …
Group frames with few distinct inner products and low coherence
M Thill, B Hassibi - IEEE Transactions on Signal Processing, 2015 - ieeexplore.ieee.org
Frame theory has been a popular subject in the design of structured signals and codes in
recent years, with applications ranging from the design of measurement matrices in …
recent years, with applications ranging from the design of measurement matrices in …
Group frames
SFD Waldron, SFD Waldron - An Introduction to Finite Tight Frames, 2018 - Springer
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Find a journal Publish with us Track your research Search Cart Book cover An Introduction to …
Find a journal Publish with us Track your research Search Cart Book cover An Introduction to …
Equiangular tight frames
VN Malozemov, AB Pevnyi - Journal of Mathematical Sciences, 2009 - Springer
A survey on equiangular tight frames in the space R^ n is presented. Several equivalent
definitions of a tight frame are given. The construction of the Mercedes–Benz frame, the well …
definitions of a tight frame are given. The construction of the Mercedes–Benz frame, the well …
Group-frames for Banach spaces
KM Krishna - arXiv preprint arXiv:2305.01499, 2023 - arxiv.org
In the literature, frames generated by unitary representations of groups (known as group-
frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces …
frames) are studied only for Hilbert spaces. We make first study of frames for Banach spaces …
[HTML][HTML] On the construction of highly symmetric tight frames and complex polytopes
H Broome, S Waldron - Linear Algebra and its Applications, 2013 - Elsevier
Many “highly symmetric” configurations of vectors in C d, such as the vertices of the platonic
solids and the regular complex polytopes, are equal-norm tight frames by virtue of being the …
solids and the regular complex polytopes, are equal-norm tight frames by virtue of being the …