In the past few decades, multi-linear algebra also known as tensor has been adapted and employed a tool for various engineering applications. Recent developments in have indicated that several well-known concepts from linear can be extended to setting with help of special form contracted product, Einstein product. Thus, product its properties harnessed define notions system theory where input, output signals, are inherently multi-domain or multi-modal. This study provides an overview tools...

Tensors are multi-way arrays which can be used to model systems spanning many domains. This work proposes use tensors for characterizing, analyzing, and designing multi-domain communication systems. Most modern day make of coding modulation across different domains such as space, frequency, time. Hence a unified mathematical framework characterizing multiple-domain system in an intuitive manner is well needed. In this paper, we present that characterizes with <inline-formula> <tex-math...

Generalized Frequency Division Multiplexing (GFDM) is a multi-domain communication scheme where data symbols are transmitted over time-frequency block. Tensors, which multi-way arrays, can be efficiently used to model such systems. This paper presents system for multiple input output (MIMO) GFDM using the Einstein product of tensors. The and modelled as order 3 tensors three modes correspond space, time frequency domains. equivalent channel between obtained from cascade transmit filter,...

Tensors are higher order generalization of vectors and matrices which can be used to describe signals indexed by more than two indices. This paper introduces a tensor framework for minimum mean square error (MMSE) estimation multi-domain data using the Einstein Product. The addresses both proper improper complex tensors. nature tensors has been harnessed provide an augmented representation account covariance pseudo-covariance. classical notions linear widely MMSE estimators extended case...

Most modern communication systems, such as those intended for deployment in IoT applications or 5G and beyond networks, utilize multiple domains transmission reception at the physical layer. Depending on application, these can include space, time, frequency, users, code sequences, media, to name a few. As such, design criteria of future systems must be cognizant opportunities challenges that exist exploiting multi-domain nature signals involved information transmission. Focussing Physical...

This work considers the notion of random tensors and reviews some fundamental concepts in statistics when applied to a tensor based data or signal. In several engineering fields such as Communications, Signal Processing, Machine learning, Control systems, linear algebra combined with variables have been indispensable tools. With evolution these subjects multi-domain communication multi-way signal processing, high dimensional analysis, multi-linear systems theory, there is need bring equipped...

An important aspect of 5G networks is the development Radio Access Network (RAN) slicing, a concept wherein virtualized infrastructure wireless subdivided into slices (or enterprises), tailored to fulfill specific use-cases. A key focus in this context efficient radio resource allocation meet various enterprises' service-level agreements (SLAs). In work, we introduce channel-aware and SLA-aware RAN slicing framework for massive multiple input output (MIMO) where extends incorporate spatial...

In cell-free massive MIMO systems with multiple distributed access points (APs) serving users over the same time-frequency resources, downlink beamforming is done through spatial precoding. Precoding vectors can be optimally designed to use minimum transmit power while satisfying a quality-of-service requirement for each user. However, existing centralized solutions optimization pose challenges such as high communication overhead and processing delay. On other hand, approaches either require...

An important aspect of 5G networks is the development Radio Access Network (RAN) slicing, a concept wherein virtualized infrastructure wireless subdivided into slices (or enterprises), tailored to fulfill specific use-cases. A key focus in this context efficient radio resource allocation meet various enterprises' service-level agreements (SLAs). In work, we introduce Helix: channel-aware and SLA-aware RAN slicing framework for massive multiple input output (MIMO) where extends incorporate...

In this paper, we ask, "Can millimeter-wave (mmWave) radars sense objects not directly illuminated by the radar - for instance, located outside transmit beamwidth, behind occlusions, or placed fully radar?" Traditionally, mmWave are limited to that and scatter its signals back. practice, however, other intermediate in environment undergo multiple bounces before being received back at radar. present Hydra, a framework explicitly model exploit multi-bounce paths sensing. Hydra enables...

Modern communication systems employ multi-domain modulation and coding techniques for effectively exploiting all available resources. Hence in such the transmit receive signals have an inherent structure which can be represented using tensors. This work considers capacity of higher order tensor channels associated with when elements input are constrained to drawn from discrete signalling constellations. We establish a relationship between gradient mutual information error covariance minimum...

This paper presents an evaluation of the performance Angle Arrival (AoA) estimation algorithms in Unmanned Aerial Vehicles (UAV) communication networks utilizing massive Multiple-Input Multiple-Output (MIMO) base stations. Five different AoA were evaluated and their was assessed. The results show impact under-sampling on estimation, specifically detection multi-path with higher normalized power. effects azimuth via horizontal subarrays estimates for hovering drones examined. 2-D Bartlett...

Working with the abstract concepts of signals in time and frequency domains without a concrete tool to understand very nature these fundamental has been major impediment for undergraduate engineering students attending course on Signals Systems or Communications. Classroom teaching such courses traditionally confined working out mathematics behind concepts. Hence is needed that allows explore actual radio spectrum leading real appreciation subject matter. This paper considers use low-cost...

One of the fundamental challenges faced in deploying multimedia systems is delivering smooth and uninterrupted audio-visual information anywhere anytime. In such systems, content compressed within a certain format, this requires format conversion for various devices. Thus, transcoding mechanism required to make adaptive devices network. Video converts one digitally encoded into another, involves translating any file containing video audio at same time. This an essential feature that do not...

In past few decades, tensor algebra also known as multi-linear has been developed and customized a tool to be used for various engineering applications. particular, with the help of special form contracted product, Einstein Product its properties, many concepts from Linear Algebra could extended setting. This enables define notions system theory where input, output signals are multi-domain in nature. paper provides an overview tools which can seen extension linear algebra, at same time...