Add to ORKGAbstract. By sampling the window of a Gabor frame for L2(R) belong-ing to Feichtinger’s algebra, S0(R), one obtains a Gabor frame for l2(Z). In this article we present a survey of results by R. Orr and A.J.E.M. Janssen and extend their ideas to cover interrelations among Gabor frames for the four spaces L2(R), l2(Z), L2([0, L]) and CL. Some new results about general dual windows with respect to sampling and peri-odization are presented as well. This theory is used to show a new result of the Kaiblinger type to construct an approximation to the canonical dual window of a Gabor frame for L2(R). 1
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
In this article we investigate the computational aspects of some recently proposed iterative methods...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
In this article we investigate the computational aspects of some recently proposed iterative methods...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
We present a construction of dual windows associated with Gabor frames with compactly supported wind...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
Let (gna,mb)n,m¿Z be a Gabor frame for L2 (R) for given window g. We show that the window h0 = S-1/2...
Let (gna,mb)n,m¿Z be a Gabor frame for L2 (R) for given window g. We show that the window h0 = S-1/2...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
In this article we investigate the computational aspects of some recently proposed iterative methods...
AbstractWe investigate Gabor frames with Gaussian windows in higher dimensions. This problem is equi...
In this article we investigate the computational aspects of some recently proposed iterative methods...
A Gabor system is a collection of modulated and translated copies of a window function. If we have a...
We present a construction of dual windows associated with Gabor frames with compactly supported wind...
We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over l...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
Let $(g_{nm})_{n,m\in Z}$ be a Gabor frame for $L_2(R)$ for given window $g$. We show that ...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
Let (gna,mb)n,m¿Z be a Gabor frame for L2 (R) for given window g. We show that the window h0 = S-1/2...
Let (gna,mb)n,m¿Z be a Gabor frame for L2 (R) for given window g. We show that the window h0 = S-1/2...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...
It is a well-known problem in Gabor analysis how to construct explicitly given dual frames associate...