The existence of admissible vectors for a locally compact group is closely related to the group's profile. In the compact groups, according to Peter-weyl theorem, every irreducible representation has admissible vector. In this paper, the conditions under which the inverse of this case is being investigated has been investigated. Conditions such as views that are admissible and stable will get c...

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finall...

We review the construction of continuous wavelet transforms adapted to a given symmetry. Then we discuss in detail successively spatial wavelets, wavelets on the sphere and space-time wavelets. 1. HOW TO DEFINE AN ADAPTED WAVELET TRANSFORM? As it is well-known [1], wavelet analysis comes in two versions: the continuous one, used mostly for signal or image analysis, and the discrete one, origina...

Sets Ω in d-dimensional Euclidean space are constructed with the property that the inverse Fourier transform of the characteristic function 1Ω of the set Ω is a single dyadic orthonormal wavelet. The iterative construction is characterized by its generality, its computational implementation, and its simplicity. The construction is transported to the case of locally compact abelian groups G with...

in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

In this paper, we generalized Daubechies'[2] results on 1D wavelets to 2D, and elucidated the conditions in which a family of Gabor wavelets will provide a complete representation of an image. We found that the phase space (scale, orientation, x, y) sampling density of the striate cortical simple cells is sufficiently dense to form a tight wavelet frame. This tight frame approximates the contin...

The usual method for the construction of a wavelet basis in the Hilbert space L 2 (R) via a Multiresolution Analysis (MRA) does not necessarily succeed in a Banach space, although MRAs can be constructed easily, as e.g. L 1 (R) shows. We explain this phenomenon by considering sequences of projections rather than subspaces, and by studying which properties of projection operators can or can not ...

In this paper a modular, computationally efficient, and numerically stable method is presented, which allows to obtain the dynamic model of a robot constituted by flexible links having variable crosssection and subjected to generic ending forces and torques and to the gravity actions. This method is based on the use of admissible deformation functions of wavelet type, obtained by using the Inst...

Identical acoustic features like Mel frequency cepstral Coefficients (MFCC)and Linear predictive cepstral coefficients (LPCC) are being widely used for different tasks like speech recognition and speaker recognition, whereas the requirement of speaker recognition is different than that of speech recognition. In MFCC feature representation, the Mel frequency scale is used to get a high resolutio...