Performance analysis of spatially distributed MIMO systems

With the growing popularity of ad-hoc sensor networks, spatially distributed multiple-input multiple-output (MIMO) systems have drawn a lot of attention. This work considers a spatially distributed MIMO system with randomly distributed transmit and receive antennas over spatial regions. The authors use the modal decomposition of wave propagation to analyse the performance limits of such system, since the sampling of the spatial regions populated with antennas is a form of mode excitation. Specifically, they decompose signals into orthogonal spatial modes and apply concepts of MIMO communications to quantify the instantaneous capacity and the outage probability. The authors’ analysis shows that analogous to conventional point-to-point MIMO system, the instantaneous capacity of spatially distributed MIMO system over Rayleigh fading channel is equivalent to a Gaussian random variable. Afterwards, they derive an accurate closed-form expression for the outage probability of proposed system utilising the definition of instantaneous capacity. Besides, in rich scattering environment, the spatially distributed MIMO system provides best performance when the spatial regions are of same size, and each region is equipped with equal number of antennas. Furthermore, to facilitate the total transmit power allocation among the channels, they propose an algorithm which indicates a significant performance improvement over conventional equal transmit power allocation scheme, even at low signal-to-noise ratio

Band Limited Signals Observed Over Finite Spatial and Temporal Windows: An Upper Bound to Signal Degrees of Freedom

The study of degrees of freedom of signals observed within spatially diverse broadband multipath fields is an area of ongoing investigation and has a wide range of applications, including characterising broadband MIMO and cooperative networks. However, a fundamental question arises: given a size limitation on the observation region, what is the upper bound on the degrees of freedom of signals observed within a broadband multipath field over a finite time window? In order to address this question, we characterize the multipath field as a sum of a finite number of orthogonal waveforms or spatial modes. We show that (i) the "effective observation time" is independent of spatial modes and different from actual observation time, (ii) in wideband transmission regimes, the "effective bandwidth" is spatial mode dependent and varies from the given frequency bandwidth. These findings clearly indicate the strong coupling between space and time as well as space and frequency in spatially diverse wideband multipath fields. As a result, signal degrees of freedom does not agree with the well-established degrees of freedom result as a product of spatial degrees of freedom and time-frequency degrees of freedom. Instead, analogous to Shannon's communication model where signals are encoded in only one spatial mode, the available signal degrees of freedom in spatially diverse wideband multipath fields is the time-bandwidth product result extended from one spatial mode to finite modes. We also show that the degrees of freedom is affected by the acceptable signal to noise ratio (SNR) in each spatial mode.Comment: Submitted to IEEE Transactions on Signal Processin

Analysis of Degrees of Freedom of Wideband Random Multipath Fields Observed Over Time and Space Windows

In multipath systems, available degrees of freedom can be considered as a key performance indicator, since the channel capacity grows linearly with the available degrees of freedom. However, a fundamental question arises: given a size limitation on the observable region, what is the intrinsic number of degrees of freedom available in a wideband random multipath wavefield observed over a finite time interval? In this paper, we focus on answering this question by modelling the wavefield as a sum of orthogonal waveforms or spatial orders. We show that for each spatial order, (i) the observable wavefield is band limited within an effective bandwidth rather than the given bandwidth and (ii) the observation time varies from the given observation time. These findings show the strong coupling between space and time as well as space and bandwidth. In effect, for spatially diverse multipath wavefields, the classical degrees of freedom result of "time-bandwidth" product does not directly extend to "time-space-bandwidth" product.Comment: 9 pages, 2 figures, Accepted in 2014 IEEE Workshop on Statistical Signal Processin

Information Theoretic Limits for Wireless Information Transfer Between Finite Spatial Regions

Since the first multiple-input multiple-output (MIMO) experiments performed at Bell Laboratories in the late 1990’s, it was clear that wireless communication systems can achieve improved performances using multiple antennas simultaneously during transmission and reception. Theoretically, the capacity of MIMO systems scales linearly with the number of antennas in favorable propagation conditions. However, the capacity is significantly reduced when the antennas are collocated. A generalized paradigm for MIMO systems, spatially distributed MIMO systems, is proposed as a solution. Spatially distributed MIMO systems transmit information from a spatial region to another with each region occupying a large number of antennas. Hence, for a given constraint on the size of the spatial regions, evaluating the information theoretic performance limits for information transfer between regions has been a central topic of research in wireless communications. This thesis addresses this problem from a theoretical point of view. Our approach is to utilize the modal decomposition of the classical wave equation to represent the spatially distributed MIMO systems. This modal analysis is particularly useful as it advocates a shift of the “large wireless networks” research agenda from seeking “universal” performance limits to seeking a multi-parameter family of performance limits, where the key parameters, space, time and frequency are interrelated. However, traditional performance bounds on spatially distributed MIMO systems fail to depict the interrelation among space, time and frequency. Several outcomes resulting from this thesis are: i) estimation of an upper bound to degrees of freedom of broadband signals observed over finite spatial and temporal windows, ii) derivation of the amount of information that can be captured by a finite spatial region over a finite bandwidth, iii) a new framework to illustrate the relationship between Shannon’s capacity and the spatial channels, iv) a tractable model to determine the information capacity between spatial regions for narrowband transmissions. Hence, our proposed approach provides a generalized theoretical framework to characterize realistic MIMO and spatially distributed MIMO systems at different frequency bands in both narrowband and broadband conditions

The impact of the COVID-19 pandemic on the education of medical, dental and non-medical healthcare professionals in Bangladesh : findings and connotation

Lockdown measures in response to the COVID-19 pandemic had an appreciable impact on the education of all medical, dental, and non-medical healthcare professional (HCP) students. These included the closure of universities necessitating a rapid move to e-learning and new approaches to practical’s. However initially, there was a lack of knowledge and expertise regarding e-learning approaches and the affordability of internet bundles and equipment. We initially con-ducted two pilot studies to assess such current challenges, replaced by a two-stage approach including a full investigation involving 32 private and public universities during the early stages of the pandemic followed by a later study assessing the current environment brought about by the forced changes. Top challenges at the start of the pandemic included a lack of familiarity with e-learning approaches, cost of the internet, lack of IT equipment and the quality of the classes. Universities offered support to staff and students to a varying degree to address identified challenges. Since then, e-learning approaches have widened the possibilities for teaching and learning at convenient times. However, challenges remain. In conclusion, there were considerable challenges at the start of them pandemic. Several key issues have been addressed with hybrid learning here to stay. Remaining challenges include a lack of ICT equipment. However, new innovations will continue

Degrees of freedom of band limited signals measured over space

In this paper, we provide the degrees of freedom of a band limited signal observed over a finite spatial window at a given time instant. The limit is based on Claude E. Shannon's sampling theorem which is also known as Whittaker-Nyquist-Kotelnikov-Shannon sampling theorem. The result is derived by using a series expansion of the solution to the Helmholtz wave equation. The expanded terms of wave equation are then bounded exponentially to zero beyond a threshold. The derived result is more general compared to the existing ones and explores the effects of spatial information on the degrees of freedom of the signal observed. In addition, we derive a new expression to calculate the degrees of freedom of a signal observed over band limited and spatially constrained channel at a constant time in terms of wavelengths and fractional bandwidth. We show that by increasing the size of the three dimensional spatial region, the degrees of freedom of the observable signal over the region can be increased for a given signal bandwidth

Capacity of band limited wavefields observed over finite spatial and temporal windows

In this work, we study the channel capacity for broadband transmission in a multipath wavefield observed on the surface of a limited source-free region over a finite temporal window. It has a wide range of applications, such as characterizing broadband distributed or large scale MIMO systems and evaluating the capacity of these systems. In order to address this topic, for given constraints on region size, bandwidth and observation time, the multipath field is characterized as a series of orthogonal basis functions encoded in a finite number of spatial modes. Each of these spatial modes represents an independent channel. We show that for each channel, how the observable time and band limited signals are coupled to a limited region of space. Afterwards, analogous to Shannon's work, we evaluate the capacity of each channel. The derived result indicates that due to the space-frequency coupling relation, for a fixed average signal power over the bandwidth, not all channels have the same capacity. Rather, the lower spatial modes provide large performance gains and channel capacity drops as spatial mode index increases. In addition, different modes provides optimum performance at different radial positions

Bacterial etiology of bloodstream infections and antimicrobial resistance in Dhaka, Bangladesh, 2005–2014

Abstract Background Bloodstream infections due to bacterial pathogens are a major cause of morbidity and mortality in Bangladesh and other developing countries. In these countries, most patients are treated empirically based on their clinical symptoms. Therefore, up to date etiological data for major pathogens causing bloodstream infections may play a positive role in better healthcare management. The aim of this study was to identify the bacterial pathogens causing major bloodstream infections in Dhaka, Bangladesh and determine their antibiotic susceptibility pattern. Methods From January 2005 to December 2014, a total of 103,679 single bottle blood samples were collected from both hospitalized and domiciliary patients attending Dhaka hospital, icddrb, Bangladesh All the blood samples were processed for culture using a BACT/Alert blood culture machine. Further identification of bacterial pathogens and their antimicrobial susceptibility test were performed using standard microbiological procedures. Results Overall, 13.6% of the cultured blood samples were positive and Gram-negative (72.1%) bacteria were predominant throughout the study period. Salmonella Typhi was the most frequently isolated organism (36.9% of samples) in this study and a high percentage of those strains were multidrug-resistant (MDR). However, a decreasing trend in the S. Typhi isolation rate was observed and, noticeably, the percentage of MDR S. Typhi isolated declined sharply over the study period. An overall increase in the presence of Gram-positive bacteria was observed, but most significantly we observed the percentage of MDR Gram-positive bacteria to double over the study period. Overall, Gram positive bacteria were more resistant to most of the commonly used antibiotics than Gram-negative bacteria, but the MDR level was high in both groups. Conclusions This study identified the major bacterial pathogens involved with BSI in Dhaka, Bangladesh and also revealed their antibiotic susceptibility patterns. We expect our findings to help healthcare professionals to make informed decisions and provide better care for their patients. Also, we hope this study will assist researchers and policy makers to prioritize their research options to face the future challenges of infectious diseases