Appendix to the article “On a detection method for known finite sequences”
Appendix to the article “On generalized linear discrete inversion filters”
Application de la théorie des graphes au choix des investissements à court terme dans un réseau électrique sujet à avaries
Application des mathématiques polonaises et des capacités à l'étude de l'information sans probabilité
Application of certain properties of matrices over GF(2) to the description of linear switching networks
Application of the partitioning method to specific Toeplitz matrices
We propose an adaptation of the partitioning method for determination of the Moore-Penrose inverse of a matrix augmented by a block-column matrix. A simplified implementation of the partitioning method on specific Toeplitz matrices is obtained. The idea for observing this type of Toeplitz matrices lies in the fact that they appear in the linear motion blur models in which blurring matrices (representing the convolution kernels) are known in advance. The advantage of the introduced method is a significant...
Application of the random field theory in PET imaging - injection dose optimization
This work presents new application of the random field theory in medical imaging. Results from both integral geometry and random field theory can be used to detect locations with significantly increased radiotracer uptake in images from positron emission tomography (PET). The assumptions needed to use these results are verified on a set of real and simulated phantom images. The proposed method of detecting activation (locations with increased radiotracer concentration) is used to quantify the quality...
Application of triple correlation and bispectrum for interference immunity improvement in telecommunications systems
This paper presents a new noise immunity encoding/decoding technique by using the features of triple correlation and bispectrum widely employed in digital signal processing systems operating in noise environments. The triple correlationand bispectrum-based encoding/decoding algorithm is tested for a digital radio telecommunications binary frequency shift keying system. The errorless decoding probability was analyzed by means of computer simulation for the transmission and reception of a test message...
Applications entrée-sortie sur un corps fini
Applications of nonlinear diffusion in image processing and computer vision.
Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian
We apply Gromov’s ham sandwich method to get: (1) domain monotonicity (up to a multiplicative constant factor); (2) reverse domain monotonicity (up to a multiplicative constant factor); and (3) universal inequalities for Neumann eigenvalues of the Laplacian on bounded convex domains in Euclidean space.
Applied mathematics meets signal processing.
Approximate algorithm for determining pulse edges of a PWM inverter based on natural sampling.
Approximation of signals (functions) belonging to the weighted -class by linear operators.
Approximation of the discrete logarithm in finite fields of even characteristic by real polynomials
We obtain lower bounds on degree and additive complexity of real polynomials approximating the discrete logarithm in finite fields of even characteristic. These bounds complement earlier results for finite fields of odd characteristic.
Arithmetic unit based on impulse counting
Association schemes and MacWilliams dualities for generalized Niederreiter-Rosenbloom-Tsfasman posets [Book]
Asymptotic behaviour of empirical multiinformation
Asymptotic distribution of the useful informational energy
Asymptotic equipartition properties for simple hierarchical and networked structures
We prove asymptotic equipartition properties for simple hierarchical structures (modelled as multitype Galton-Watson trees) and networked structures (modelled as randomly coloured random graphs). For example, for large n, a networked data structure consisting of n units connected by an average number of links of order n / log n can be coded by about H × n bits, where H is an explicitly defined entropy. The main technique in our proofs are large deviation principles for suitably defined empirical...