Add to ORKGAbstract. We consider smoothness properties of the generator of a principal Gabor space on the real line which is invariant under some additional translation-modulation pair. We prove that if a Gabor system on a lattice with rational density is a Riesz basis for its closed linear span, and if the closed linear span, a Gabor space, has any additional translation-modulation invariance, then its generator cannot decay well in time and in frequency simultaneously. 1
The Balian-Low theorem expresses the fact that time-frequency concentration is incompatible with non...
matrices, piecewise linear transformation, ergodic theorem, sampling, shift-invariant spaces Abstrac...
Abstract. We look at the time–frequency localisation of generators of lattice Gabor systems. For a g...
We consider smoothness properties of the generator of a principal Gabor space on the real line which...
We extend the Balian–Low theorem to Gabor subspaces of L2(R) by involving the concept of additional ...
A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single wi...
We consider non-complete Gabor frame sequences generated by an S0-function and a lattice Λ and prove...
Gabor systems are used in fields ranging from audio processing to digital communication. Such a Gabo...
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generat...
We consider Gabor Riesz sequences generated by a lattice $\Lambda \subset \mathbb{R}^2$ and a window...
The Balian-Low theorem expresses the fact that time-frequency concentration is incompatible with non...
In this paper, we consider the time-frequency localization of the generator of a principal shift-inv...
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices a\mathbb{Z}\t...
In this paper, we consider the time-frequency localization of the generator of a principal shift-inv...
A longstanding problem in Gabor theory is to identify time frequency shifting lattices aZ × bZ and i...
The Balian-Low theorem expresses the fact that time-frequency concentration is incompatible with non...
matrices, piecewise linear transformation, ergodic theorem, sampling, shift-invariant spaces Abstrac...
Abstract. We look at the time–frequency localisation of generators of lattice Gabor systems. For a g...
We consider smoothness properties of the generator of a principal Gabor space on the real line which...
We extend the Balian–Low theorem to Gabor subspaces of L2(R) by involving the concept of additional ...
A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single wi...
We consider non-complete Gabor frame sequences generated by an S0-function and a lattice Λ and prove...
Gabor systems are used in fields ranging from audio processing to digital communication. Such a Gabo...
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generat...
We consider Gabor Riesz sequences generated by a lattice $\Lambda \subset \mathbb{R}^2$ and a window...
The Balian-Low theorem expresses the fact that time-frequency concentration is incompatible with non...
In this paper, we consider the time-frequency localization of the generator of a principal shift-inv...
A longstanding problem in Gabor theory is to identify time-frequency shifting lattices a\mathbb{Z}\t...
In this paper, we consider the time-frequency localization of the generator of a principal shift-inv...
A longstanding problem in Gabor theory is to identify time frequency shifting lattices aZ × bZ and i...
The Balian-Low theorem expresses the fact that time-frequency concentration is incompatible with non...
matrices, piecewise linear transformation, ergodic theorem, sampling, shift-invariant spaces Abstrac...
Abstract. We look at the time–frequency localisation of generators of lattice Gabor systems. For a g...