Special Issue "Connected Mathematics for Next Generation Communication Networks"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Network Science".

Deadline for manuscript submissions: 30 April 2023 | Viewed by 683

Special Issue Editors

Department of Information and Communication Engineering, Sejong University, 05006 209, Neungdong-ro, Gwangjin-gu, Seoul, Korea
Interests: embedded systems; wireless networks; artificial intelligence; Internet of Things
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Data communication and networking (DCN) systems are of great importance in today’s world. Today, the existence of newly emerged wireless communication systems such as 5G and beyond, Wi-Fi 6/6E, etc., witness the importance of DCN systems. Additionally, their importance will continue to increase with new fields of application, such as IoT, tactile internet, augmented/virtual reality (AR/VR), mixed reality (XR), industrial automation and so on. Such advanced communication systems are continually being introduced to live up to the great variety of applications and desires for new services. This development would have been impossible without the realization of DCN systems, wherein mathematics played a vital supporting role. In fact, mathematics is the foundation of information and communication theory in a DCN system, from the information generated at the sender to that received by the receiver (or even that dropped/destroyed on the way). Mathematics is integral in one way or other. The mathematics of sampling/quantization/encoding is involved in the conversion of user data (audio/video/text) into machine-readable format (bits and bytes). The machine-readable information is packetized into transmittable frames and chunks (usually of a predefined size) using headers and trailers. Packets and frames are of varying lengths, with no frames smaller than 64 octets or greater than 1518 octets (header, data and cyclic redundancy check, etc.).  The role of mathematics does not end at this point: a complex and applied mathematics is involved in the transmission of these bits and bytes (enclosed as frames of packets). Transmission media, such as a wireless system, require the implementation of various mathematical operations, such as the conversion of analog data to digital data, bandwidth allocation, channelization, bit rate selection, measurement if received signal strengths indicator (RSSI), signal to noise ratio (SNR), etc. In short, mathematics has played the role of the pathbreaker in the development of new communication procedures, and it is an essential instrument in the planning and optimization of networks. For example, statistical theories and discrete mathematics are used in information theory; linear algebra, convex optimization and game theory are used in the development of new methods of transmission, and linear, combinatorial, and stochastic optimization are used in planning radio networks. In all these cases, it is the collaboration of applied mathematics and communications engineering that deliver essential contributions to the potential solutions.

Despite this immense contribution, essential foundational issues and challenges exist for the mathematical theories, such as the need to redefine itself according to current needs and requirements. Therefore, in this Special Issue, we focus on those applied mathematical models and methods that can be connected and the specific features of DCN systems that differ from past and present ones. We may deliberate on diverse mathematical approaches for machine intelligence based on stochastic processes, queueing theory, statistics, stochastic geometry, and others.

Dr. Rashid Ali
Prof. Dr. Hyung Seok Kim
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2100 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (1 paper)

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Tachism: Tri-Port Antenna with Triple Notching Characteristic and High Isolation System for MIMO Application
Mathematics 2022, 10(23), 4491; https://doi.org/10.3390/math10234491 - 28 Nov 2022
Cited by 1 | Viewed by 501
A novel ultra-wideband (UWB) KAYI-shaped and common KITE-shaped ground plane tri-port antenna is proposed. The proposed research work has a small size of (30 × 30 × 1.6 mm3). The MIMO antenna elements are placed in a KAYI-shaped (Y-shaped) with a [...] Read more.
A novel ultra-wideband (UWB) KAYI-shaped and common KITE-shaped ground plane tri-port antenna is proposed. The proposed research work has a small size of (30 × 30 × 1.6 mm3). The MIMO antenna elements are placed in a KAYI-shaped (Y-shaped) with a symmetric phase shift of 120 between the nearby MIMO antennas element improving the isolation. The antenna’s gain is more than 5 dBi for the entire bands of WiMax, WLAN, and X-band satellite communication. The suggested work includes notches at 3.2 GHz, 5.2 GHz, and 8.9 GHz, respectively. The notching characteristics are made possible by L-shaped slits for the WiMax band, the inverted U-shaped slot for WLAN, while the third is created by the interaction between the L-shaped and U-shaped notching elements. Results were measured after making the prototype antenna on the FR-4 substrate. The proposed antenna has good impedance matching for 2–20 GHz and three notching characteristics with high isolation among the MIMO elements. Mean effective gain (MEG), envelope correlation coefficient (ECC), and total active reflection coefficient (TARC) are the diversity metrics of MIMO antennas which are in good comparison to the proposed antenna. The antenna is a good candidate for deployment in wireless communication and MIMO applications. Full article
(This article belongs to the Special Issue Connected Mathematics for Next Generation Communication Networks)
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