Results 111 to 117 of about 361,955 (117)

Optimal dual frames for uniform frames with erasures

2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2015
Given a frame as a coder, its optimal dual as encoder can make the reconstruction error arising from erasure minimum. According to the eigenvalues of the frame operator, we give some sufficient conditions under which the unique optimal dual frame can be identified.
Qing Gao, Jianbo Li, Fang Shuai, Jingsong Leng   +3 more
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Equiangular Frames and Their Duals

2021
Systems 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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A Case of a Dual Frame of Reference

Perception, 1992
It 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 ...
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K-g-frames and their dual

International Journal of Wavelets, Multiresolution and Information Processing, 2019
This paper is devoted to the study of the dual [Formula: see text]-g-Bessel sequences of [Formula: see text]-g-frames. We firstly make use of the g-preframe operators of a g-Bessel sequence to investigate the constructions of [Formula: see text]-g-frames.
Shengnan Shi, Yongdong Huang
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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 ...
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Dual-Frame-Telefonstichproben

2015
Die Entwicklung der Anzahl der Festnetzanschlusse in Deutschland zeigt fur den Zeitraum von 2009 bis 2013 wenig Veranderung und stagniert auf einem Wert von ca. 38 Mio. Anschlusse. Bei einer naheren Untersuchung der Zusammensetzung dieses Wertes anhand des von der Bundesnetzagentur (BNA) fur 2012/2013 veroffentlichten Tatigkeitsberichts kann jedoch ...
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Monoscale Dual Ridgelet Frame

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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