Notions of orthogonality and convolution are explored with the use Kontorovich–Lebedev transform its convolution. New classes corresponding orthogonal polynomials functions investigated. Integral representations, relations explicit expressions established.

We give an explicit decoding scheme for the permutation arrays under Hamming distance metric, where the encoding is constructed via a distance-preserving mapping from ternary vectors to permutations (3-DPM).

The aim of this paper is to develop a local positivity preserving scheme when the data amassed from different sources is positioned at sparse points. The proposed algorithm first triangulates the irregular data using Delauny triangulation method, therewith interpolates each boundary and radial curve of the triangle by C¹ rational trigonometric cubic function. Half of the parameters in the descr...

This paper propose a new multiple-input multipleoutput (MIMO) signal processing scheme that combines optimum transmit and receive beamforming with the Alamouti space-time block code (STBC) transmission and modifies the decoding process. The scheme uses double antenna array groups to achieve stable performance regardless of direction of arrived (DOA) and angular spread (AS). In a multiuser MIMO ...

in this paper we introduce two-wavelet constants for square integrable representations of homogeneous spaces. we establishthe orthogonality relations for square integrable representationsof homogeneous spaces which give rise to the existence of aunique self adjoint positive operator on the set of admissiblewavelets. finally, we show that this operator is a constant multiple of identity operator...

• A new type of non-rigid transformation is presented for quantization based hashing. The proposed corrupts the neighborhood structure data in favor quantization. method reduces dimensionality and error simultaneously. Unlike other methods, we employ both rigid transformations to compress data. An efficient sequential scheme update optimization variables with low training time. effective unsupe...

Refactoring is the art of modifying design a system without altering its behavior. The idea to reorganize variables, classes and methods facilitate their future adaptations comprehension. As concept behavior preservation fundamental for refactoring, several studies, using formal verification , language transformation dynamic analysis, have been proposed monitor execution refactoring operations ...