Linear combinations of wave packet frames for L^2(R^d)
author
Abstract:
In this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for L2(Rd). Further, we illustrate our results with some examples and applications.
similar resources
linear combinations of wave packet frames for l^2(r^d)
in this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for l^2(r^d). further, we illustrate our results with some examples and applications.
full textOn Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group
In this paper we consider (extended) metaplectic representation of the semidirect product $G_{mathbb{J}}=mathbb{R}^{2d}timesmathbb{J}$ where $mathbb{J}$ is a closed subgroup of $Sp(d,mathbb{R})$, the symplectic group. We will investigate continuous representation frame on $G_{mathbb{J}}$. We also discuss the existence of duals for such frames and give several characterization for them. Fina...
full textThe geometry of sets of parameters of wave packet frames
We study wave packet systems WP(ψ,M); that is, countable collections of dilations, translations, and modulations of a single function ψ ∈ L2(R). The parameters of these unitary actions form a discrete subset M ⊂ R+ × R × R. We introduce analogues of the notion of Beurling density, adapted to the geometry of discrete subsets of R+ × R × R, and notions of lower and upper dimensions associated wit...
full textNecessary Conditions of the Wave Packet Frames with Several Generators
The main goal of this paper is to consider the necessary conditions of wave packet systems to be frames in higher dimensions. The necessary conditions of wave packet frames in higher dimensions with several generators are established, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. The existing results are generalized to the case of several gen...
full textassessment of the park- ang damage index for performance levels of rc moment resisting frames
چکیده هدف اصلی از طراحی لرزه ای تامین ایمنی جانی در هنگام وقوع زلزله و تعمیر پذیر بودن سازه خسارت دیده، پس از وقوع زلزله است. تجربه زلزله های اخیر نشان داده است که ساختمان های طراحی شده با آیین نامه های مبتنی بر نیرو از نظر محدود نمودن خسارت وارده بر سازه دقت لازم را ندارند. این امر سبب پیدایش نسل جدید آیین نامه های مبتنی بر عملکرد شده است. در این آیین نامه ها بر اساس تغییرشکل های غیرارتجاعی ...
15 صفحه اولSuppression of Four Wave Mixing Based on the Pairing Combinations of Differently Linear-Polarized Optical Signals in WDM System
Data transmission in optical systems and increased transmission distance capacity benefit by using optical amplification wavelength division multiplexing (WDM) technology. The combination of four waves (FWM) is a non-linear effect in the wavelength division multiplex (WDM), when more than two wavelengths of light in a fiber launch will occur. FWM amount depends on the channel, the channel spaci...
full textMy Resources
Journal title
volume 3 issue 2
pages 19- 32
publication date 2016-12-01
By following a journal you will be notified via email when a new issue of this journal is published.
Keywords
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023