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Table Of Integrals Series And Products

A fast-Fourier-transform method of topography and interferometry is proposed. By computer processing of a noncontour type of fringe pattern, automatic discrimination is achieved between elevation and depression of the object or wave-front form, which has not been possible by the fringe-contour-generation techniques. The method has advantages over moire topography and conventional fringe-contour interferometry in both accuracy and sensitivity. Unlike fringe-scanning techniques, the method is easy to apply because it uses no moving components.

Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry

Matrix Differential Calculus with Applications in Statistics and Econometrics

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The World Bank Group

Radio access technologies for cellular mobile communications are typically characterized by multiple access schemes, e.g., frequency division multiple access (FDMA), time division multiple access (TDMA), code division multiple access (CDMA), and OFDMA. In the 4th generation (4G) mobile communication systems such as Long-Term Evolution (LTE) (Au et al., Uplink contention based SCMA for 5G radio access. Globecom Workshops (GC Wkshps), 2014. doi:10.1109/GLOCOMW.2014.7063547) and LTE-Advanced (Baracca et al., IEEE Trans. Commun., 2011. doi:10.1109/TCOMM.2011.121410.090252; Barry et al., Digital Communication, Kluwer, Dordrecht, 2004), standardized by the 3rd Generation Partnership Project (3GPP), orthogonal multiple access based on OFDMA or single carrier (SC)-FDMA is adopted. Orthogonal multiple access was a reasonable choice for achieving good system-level throughput performance with simple single-user detection. However, considering the trend in 5G, achieving significant gains in capacity and system throughput performance is a high priority requirement in view of the recent exponential increase in the volume of mobile traffic. In addition the proposed system should be able to support enhanced delay-sensitive high-volume services such as video streaming and cloud computing. Another high-level target of 5G is reduced cost, higher energy efficiency and robustness against emergencies.

Non-Orthogonal Multiple Access (NOMA) for cellular future radio access

Summary
In this paper, we propose a constrained convex sets–based method for designing ultra-wideband (UWB) pulse. The UWB pulses designed using earlier proposed methods either do not fit well in UWB spectral mask or require extra processing circuitry for pulses to fit in the UWB spectral mask. The proposed constraint sets–based method is flexible and optimum for the UWB mask. The pulse designed by the proposed method is Federal Communication Commission compliant and has an autocorrelation function similar to the Gaussian pulse. The bit error rate performance of time hopping binary phase shift keying using the proposed method and some of the existing methods such as Norman and Lee pulses and sixth derivative Gaussian pulse is analyzed in additive white Gaussian noise and Saleh-Valenzuela channels. Pulse designed using the proposed method outperforms existing pulse design, and the same is verified through simulations. The proposed algorithm is flexible and can also be used to mitigate narrow band interference, multiband UWB pulse generation and any other Federal Communication Commission (or other regulatory body) compliant spectrum mask by modifying the parameter of the proposed constraint set(s).

UWB pulse design using constraint convex sets method

In this letter, an ultra-wideband (UWB) non-coherent receiver design is proposed using a monobit analog-to-digital converter (ADC) in an impulsive noise (IN) environment. Sparsity of both the UWB signal and IN are exploited to design a robust digital receiver. A sub-optimal threshold selection of ADC is suggested to enhance system performance in an IN environment. Quasi-static characteristics of the UWB channel are exploited to improve the system’s performance. The proposed monobit digital receiver is analyzed and is shown to have only around 1 dB performance loss in an IN environment as compared to the conventional receiver (IN free). Simulation results provide useful analysis for designing digital UWB receivers both in the absence and in the presence of IN.

Sparsity-Based Monobit UWB Receiver Under Impulse Noise Environments

Molecular communication (MC) can play an indispensable role in nanonetworking and internet of bio-nano things based applications. In most MC receivers, the detection of data symbols requires the optimal threshold, which depends on the accurate diffusion channel impulse response (DCIR), and statistics of noise and interference (SNI). In order to estimate these parameters, a training phase must be carried out. Further, DCIR and SNI can change due to diffusion, drift, temperature and interference variation in the MC system, which results in complex training or sub-optimal MC performance. In this paper, we propose a coded modulation scheme (CMS) for MC, which does not require threshold estimation at the receiver. Hence, the proposed CMS is completely free from any training, and also independent of noise and interferences variation in MC systems. The proposed CMS has optimal system performance with negligible system complexity as verified through the numerical results. Further, the impact of various parameters such as diffusion coefficient, transmission distance, symbol duration, etc. are also examined for CMS.

Thresholdless Detection of Symbols in Nano-Communication Systems

Two of the most challenging goals for the fifth generation (5G) and beyond communication systems are massive connectivity and higher capacity. The use of traditional orthogonal multiple access techniques limits the number of users that can be served using available resources due to orthogonality constraint. Moreover, the available resources may not be utilized effectively by alloted users thereby resulting in inefficiency and user unfairness. This imposes a severe drawback in cases where the number of users to be served are high, like in the Internet of Things or ultra-dense 5G networks. Hence, introducing non-orthogonality to multiple access scheme is advocated as a superior methodology to serve multiple users simultaneously, thereby achieving multi-fold enhancement in connectivity. In scenarios with massive number of users, non-orthogonal multiple access scheme (NOMA) increases the number of active connections by superimposing signals of multiple users on the same resource block, thereby also utilizing the available resources efficiently. This article presents an overview of the integration of NOMA with several other leading technologies for 5G and beyond networks to enhance the connectivity.

Non-orthogonal Multiple Access: An Enabler for Massive Connectivity

Visible light communication (VLC) has emerged as a potential candidate for next generation wireless communication systems. However, nonlinear characteristics of light emitting diode (LED), user-mobility, and DC-bias fluctuations are the major factors that limit the throughput of a VLC link, and makes the overall additive distortion as non-Gaussian distributed. To mitigate this non-Gaussian noise processes encountered in VLC systems due to LED nonlinearity, and user-mobility, recently a random Fourier features (RFF) based kernel recursive maximum Versoria criterion (KRMVC) based post-distortion algorithm is proposed, which delivers better performance as compared to the classical polynomial series, and kernel recursive least squares (KRLS) algorithms due to the incorporation of higher order statistics of error. However, the performance of RFF-KRMVC algorithm is sensitive to the choice of kernel-width, and results in approximation errors due to imperfect choice of kernel-width. This paper proposes a novel RFF-KRMVC algorithm using a kernel-width sampling (KWS) technique called as RFF-KWS-KRMVC, which implements the post-distortion under a hyperparameter-free finite memory budget. Furthermore, analytical expressions for mean square error, and error rate are quantified for the proposed RFF-KWS-KRMVC post-distorter, and corroborated by Monte-Carlo simulations performed over standard VLC channel models.

Vimal Bhatia

Papers

UWB pulse design using constraint convex sets method

Sparsity-Based Monobit UWB Receiver Under Impulse Noise Environments

Thresholdless Detection of Symbols in Nano-Communication Systems

Non-orthogonal Multiple Access: An Enabler for Massive Connectivity

Kernel Recursive Maximum Versoria Criterion Based Post-Distorter for VLC Using Kernel-Width Sampling