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It is also shown that tightness of the bounds requires tight frames.
As unit norm tight frames with dimensions m,N exist for a specific tightness parameter (α=N/m), an ETF is an equiangular N/m-tight frame.
This perspective unifies a number of observations that have been made regarding tightness of the bounds and their connections to symmetric k-tensors, tight frames, homogeneous polynomials, and t-designs.
(Spectral properties of tight frames [1]).
"The difference today was that I was nicking the tight frames.
Moreover, this characterization suggests very simple sufficient conditions for constructing tight frames from multiresolution.
Fig. 5 Generator filters providing dual or tight frames for ρ = 4/3 Fig. 6 Generator filters providing dual or tight frames for ρ = 16/15.
Based on these results, we also provide properties of the synthesis matrix of equiangular tight frames.
We first consider a variety of constructions, including random frames, equiangular tight frames and group frames.
This paper considers the design of wavelet tight frames based on iterated oversampled filter banks.
Equiangular tight frames are examples of Grassmannian line packings for a Hilbert space.
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