Results 231 to 240 of about 30,913 (261)

Construction of Tight Filter Bank Frames

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006
In this paper, we present an explicit and numerically efficient formulae to construct a tight (paraunitary) FB frame from a given un-tight (non-paraunitary) FB frame. The derivation uses the well developed techniques from modern control theory, which results in the unified formulae for generic IIR and FIR FBs.
Chai, Li, Zhang, Jingxin, Zhang, Cishen, Mosca, Edoardo   +3 more
openaire   +1 more source

Maltsev equal-norm tight frames

Izvestiya: Mathematics, 2022
A frame in $\mathbb{R}^d$ is a set of $n\geqslant d$ vectors whose linear span coincides with $\mathbb{R}^d$. A frame is said to be equal-norm if the norms of all its vectors are equal. Tight frames enable one to represent vectors in $\mathbb{R}^d$ in the form closest to the representation in an orthonormal basis.
Sergey Yakovlevich Novikov, Victoria Vladimirovna Sevost'yanova   +1 more
openaire   +1 more source

On p-adic tight wavelet frames

Journal of Mathematical Analysis and Applications, 2023
The authors design tight wavelet frames on the field of \(p\)-adic numbers. To this purpose, Pontryagin's principle of duality on zero-dimensional groups is exploited instead of the unitary extension principle. The most of results are formulated for an arbitrary zero-dimensional group with a mild technical restriction.
Lukomskii, S. F., Vodolazov, A. M.
openaire   +2 more sources

Equiangular tight frames

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malozemov, V. N., Pevnyi, A. B.
openaire   +1 more source

Tight frame learning for cardiovascular MRI

2013 IEEE 10th International Symposium on Biomedical Imaging, 2013
Dynamic cardiovascular MRI facilitates the assessment of the structure and function of the cardiovascular system. One of the challenges in dynamic MRI is the prolonged data acquisition time. In order to fit the data acquisition time inside the motion cycles of the imaging subject, the data must be highly undersampled.
Qiu Wang, Jun Liu 0003, Nirmal Janardhanan, Michael O. Zenge, Edgar Mueller, Mariappan S. Nadar   +5 more
openaire   +1 more source

Equiangular tight frame fingerprinting codes

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011
We show that equiangular tight frames (ETFs) are particularly well suited as additive fingerprint designs against Gaussian averaging collusion attacks when the number of users is less than the square of the signal dimension. The detector performs a binary hypothesis test in order to decide whether a user of interest is among the colluders.
Dustin G. Mixon, Christopher J. Quinn, Negar Kiyavash, Matthew Fickus   +3 more
openaire   +1 more source

Tight wavelet frames

Doklady Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Tight Frames and Dual Frame Pairs

2016
We have already highlighted the frame decomposition, which shows that a frame \(\{f_{k}\}_{k=1}^{\infty }\) for a Hilbert space \(\mathcal{H}\) leads to the decomposition $$\displaystyle\begin{array}{rcl} f =\sum _{ k=1}^{\infty }\langle f,S^{-1}f_{ k}\rangle f_{k},\ \ \forall f \in \mathcal{H};& &{}\end{array}$$ (6.1) here \(S: \mathcal{H ...
openaire   +1 more source

Special tight frames

Vestnik St. Petersburg University: Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The Closure of the Set of Tight Frame Wavelets

Acta Applicandae Mathematicae, 2008
The paper deals with the properties of the closure of the set of tight frame wavelets. It is shown that the collection of such wavelets is not dense in \(L^2(\mathbb{R}^n)\). Therefore a necessary and a sufficient conditions are given for a function \(f\in L^2(\mathbb{R}^n)\) to belong to the closure of this set. These are, respectively, fulfilling one
openaire   +2 more sources