Results 231 to 240 of about 161,013 (263)
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Sobolev duals of random frames
2010 44th Annual Conference on Information Sciences and Systems (CISS), 2010Sobolev dual frames have recently been proposed as optimal alternative reconstruction operators that are specifically tailored for Sigma-Delta (ΣΔ) quantization of frame coefficients. While the canonical dual frame of a given analysis (sampling) frame is optimal for the white-noise type quantization error of Pulse Code Modulation (PCM), the Sobolev ...
C. Sinan Güntürk +4 more
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2005
A new system—Monoscale Dual Ridgelet Frame (MDRF) is constructed in this paper, which can be viewed as a generalized version of Monoscale Ridgelet introduced by Candes. The MDRT takes the Dual Ridgelet Frame as its basic component. We show that localizing the Dual Ridgelet Frame into small squares, dyadic partition of [0, 1]2, constitutes a dual frame ...
Tan Shan, Licheng Jiao
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A new system—Monoscale Dual Ridgelet Frame (MDRF) is constructed in this paper, which can be viewed as a generalized version of Monoscale Ridgelet introduced by Candes. The MDRT takes the Dual Ridgelet Frame as its basic component. We show that localizing the Dual Ridgelet Frame into small squares, dyadic partition of [0, 1]2, constitutes a dual frame ...
Tan Shan, Licheng Jiao
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Frame Wavelets of Local Fields with No Dual Wavelet Frames
Complex Analysis and Operator Theory, 2023Let \(K\) be a local field of positive characteristic. Let \(|\cdot|\) be the valuation on \(K\) and let \(\mathfrak{D}=\{x\in K: |x|\leq 1\}\). Equip \(K\) with the Haar measure it has as a locally compact abelian group normalized so that the measure of \(\mathfrak{D}\) is~$1$. The author considers frame wavelets in this setting.
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The dual frame induced by an invertible frame multiplier [PDF]
2015 International Conference on Sampling Theory and Applications (SampTA), 2015 The inverse of an invertible frame multiplier can be represented as a multiplier with reciprocal symbol and sequences dual to the original frames. One of the duals is unique with the property that the other one can be arbitrarily chosen, which is shown in this paper for several cases.
Diana T Stoeva, Peter Balázs
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Dual Frame and Multiple Frame Surveys
2020Practical issues in the design of a dual frame or multiple frame survey are highly related to the characteristics of the target population and the availability of sampling frames. This chapter focuses on issues with estimation using data from dual or multiple frame surveys.
Changbao Wu, Mary E. Thompson
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A Case of a Dual Frame of Reference
Perception, 1992It is demonstrated that observers may relate to two parts of the same object by using two different frames of reference. Subjects were asked to indicate directions within a model of a hallway in which signs were posted on a single prism. The majority of subjects interpreted a sign frontally facing them as indicating the direction which is ahead of them,
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Partial affine system–based frames and dual frames
Mathematical Methods in the Applied Sciences, 2017In this paper, we introduce the notion of partial affine system that is a subset of an affine system. It has potential applications in signal analysis. A general affine system has been extensively studied; however, the partial one has not. The main focus of this paper is on partial affine system–based frames and dual frames.
Yun‐Zhang Li, Yu Tian
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Characterization of Alternate Duals of Continuous Frames and Representation Frames
Results in Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Akbar Arefijamaal, Atefe Razghandi
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Characterization of Dual Scalable Frames
Complex Analysis and Operator TheoryLet \(\mathcal{I}\) be a countable index set and \(\Phi = \{\phi_{i}\}_{i \in \mathcal{I}}\) be a sequence in a separable Hilbert space \(\mathcal{H}\). Then \(\Phi\) is called a frame for \(\mathcal{H}\) if there exist constants \(0 < A_{\Phi} \leq B_{\Phi} < \infty\) such that \[ A_{\Phi}\|\phi\|^{2} \leq \sum_{i \in \mathcal{I}}|\langle \phi, \phi_i
Heydarpour, Behine +2 more
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Equiangular Frames and Their Duals
2021Systems of m equiangular lines spanning \(\mathbb {R}^d\) or \(\mathbb {C}^d\) that satisfy the so-called Welch bound have recently gained a lot of attention due to various applications in signal processing. Such sets are called equiangular tight frames (ETFs).
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