Compressive sensing using extropy measures of ranked set sampling
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Saeid Tahmasebi
Abstract
The aim of this paper is to consider the extropy measure of uncertainty proposed by Lad, Sanfilippo and Agrò for the problem of compressive sensing. For this purpose, two sampling designs, i.e., simple random sampling (SRS) and a modified version of ranked set sampling, known as maximum ranked set sampling procedure with unequal samples (MRSSU), are utilized and some uncertainty measures such as extropy, cumulative extropy and residual extropy are obtained and compared for these sampling designs. Also, some results of extropy in record ranked set sampling data are developed. Then a study on comparing the behavior of estimators of cumulative extropy in MRSSU and SRS using simulation method is obtained. As an example, two sampling methods MRSSU and SRS are utilized for compressive sensing technique and their performances are compared via signal to noise ratio (SNR), correlation coefficient of reconstructed and the original signal and cumulative extropy measure of uncertainty. The results show that the values of SNR and correlation coefficient for MRSSU are higher than those of SRS. Furthermore, it is shown that MRSSU scheme can efficiently reduce the uncertainty measure of cumulative extropy.
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(Communicated by Gejza Wimmer)
Acknowledgement
Francesco Buono is member of the research group GNAMPA of INdAM (Istituto Nazionale di Alta Matematica) and is partially supported by MIUR-PRIN 2017, project “Stochastic Models for Complex Systems”, no. 2017 JFFHSH. The present work was developed within the activities of the project 000009_ALTRI_CDA_75_2021_FRA_LINEA_B funded by “Programma per il finanziamento della ricerca di Ateneo - Linea B” of the University of Naples Federico II.
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© 2023 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- RNDr. Stanislav Jakubec, DrSc. passed away
- Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
- Conditions forcing the existence of relative complements in lattices and posets
- Radically principal MV-algebras
- A topological duality for dcpos
- Padovan or Perrin numbers that are concatenations of two distinct base b repdigits
- Addendum to “A generalization of a result on the sum of element orders of a finite group”
- Remarks on w-distances and metric-preserving functions
- Solution of logarithmic coefficients conjectures for some classes of convex functions
- Multiple periodic solutions of nonautonomous second-order differential systems with (q, p)-Laplacian and partially periodic potentials
- Asymptotic stability of nonlinear neutral delay integro-differential equations
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- Fourier transform inversion: Bounded variation, polynomial growth, Henstock–Stieltjes integration
- (ε, A)-approximate numerical radius orthogonality and numerical radius derivative
- Wg-Drazin-star operator and its dual
- On the Lupaş q-transform of unbounded functions
- K-contact and (k, μ)-contact metric as a generalized η-Ricci soliton
- Compactness with ideals
- Number of cells containing a given number of particles in a generalized allocation scheme
- A new generalization of Nadarajah-Haghighi distribution with application to cancer and COVID-19 deaths data
- Compressive sensing using extropy measures of ranked set sampling
- A note on star partial order preservers on the set of all variance-covariance matrices
