✦ LIBER ✦

Stability of Gabor frames with arbitrary sampling points

✍ Scribed by Hans G. Feichtinger; Wenchang Sun

Publisher: Akadmiai Kiad
Year: 2006
Tongue: English
Weight: 283 KB
Volume: 113
Category: Article
ISSN: 1588-2632
DOI: 10.1007/s10474-006-0099-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Moment Problems and Stability Results fo

Moment Problems and Stability Results for Frames with Applications to Irregular Sampling and Gabor Frames

✍ Ole Christensen 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 160 KB

We show the existence of a "best approximation solution" to the set of equations f, f i = a i , i ∈ I, where {f i } i∈I is a frame for a Hilbert space (H, •, • ) and {a i } i∈I ∈ l 2 (I). We derive formulas showing how the solution changes if {a i } i∈I or {f i } i∈I is perturbed. We explain why the

On the Stability of Gabor Frames

✍ Wenchang Sun; Xingwei Zhou 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 106 KB

In this paper, we study the stability of Gabor frames ϕ mb na m n ∈ Z . We show that ϕ mb na m n ∈ Z remains a frame under a small perturbation of ϕ m, or n. Our results improve some results from Favier and Zalik and are applicable to many frequently used Gabor frames. In particular, we study the ca

On the stability of wavelet and Gabor fr

On the stability of wavelet and Gabor frames (Riesz bases)

✍ Zhang Jing 📂 Article 📅 1999 🏛 SP Birkhäuser Verlag Boston 🌐 English ⚖ 870 KB

Sampling with Arbitrary Sampling and Rec

Sampling with Arbitrary Sampling and Reconstruction Spaces and Oblique Dual Frame Vectors

✍ Yonina C. Eldar 📂 Article 📅 2003 🏛 SP Birkhäuser Verlag Boston 🌐 English ⚖ 167 KB

On Kadec's 1/4-Theorem and the Stability

On Kadec's 1/4-Theorem and the Stability of Gabor Frames

✍ Wenchang Sun; Xingwei Zhou 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 51 KB

In Appl. Comput. Harmon. Anal. 2 (1995), 160-173, Favier and Zalik presented a multivariate version of Kadec's 1/4-theorem. But their result contains an additional condition B d (L) < 1. In this paper, we show that this condition may be deleted. In fact, we make a straightforward generalization of K

Sampling with arbitrary choice of the sa

Sampling with arbitrary choice of the sampling instants

✍ Inge Troch 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 593 KB

The solution of problems of control, observation of the initial state, parameter estimation and related topics can be optimized by using the freedom in the choice of the instants of sampling. Summary--For linear multivariable control systems the question of observing the state by means of sampling