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Optimal unions of scaled copies of domains and Pólya's conjectureAug 22 2019Given a bounded Euclidean domain $\Omega$, we consider the sequence of optimisers of the $k^{\rm th}$ Laplacian eigenvalue within the family consisting of all possible disjoint unions of scaled copies of $\Omega$ with fixed total volume. We show that ... More
RadChat: Spectrum Sharing for Automotive Radar Interference MitigationAug 22 2019In the automotive sector, both radars and wireless communication are susceptible to interference. However, combining the radar and communication systems, i.e., radio frequency (RF) communications and sensing convergence, has the potential to mitigate ... More
Optimal step-size of least mean absolute fourth algorithm in low SNRAug 22 2019There is a need to improve the capability of the adaptive filtering algorithm against Gaussian or multiple types of non-Gaussian noises, time-varying system, and systems with low SNR. In this paper, we propose an optimized least mean absolute fourth (OPLMF) ... More
Multi-Antenna Relaying and Reconfigurable Intelligent Surfaces: End-to-End SNR and Achievable RateAug 21 2019In this report, we summarize the end-to-end signal-to-noise ratio and the rate of half-duplex, full-duplex, amplify-and-forward, and decode-and-forward relay-aided communications, and well as the signal-to-noise ratio and the rate of the emerging technology ... More
On an optimal potential of Schrödinger operator with prescribed $m$ eigenvalueAug 21 2019The purpose of this paper is twofold: firstly, we present a new type of relationship between inverse problems and nonlinear differential equations. Secondly, we introduce a new type of inverse spectral problem, posed as follows: for a priori given potential ... More
Mobility in the Sky: Performance and Mobility Analysis for Cellular-Connected UAVsAug 21 2019Providing connectivity to unmanned aerial vehicle-user equipments such as drones or flying taxis is a major challenge for tomorrow cellular systems. In this paper, the use of coordinated multi-point transmission for providing seamless connectivity to ... More
Eliminating Impulsive Noise in Pilot-Aided OFDM Channels via Dual of Penalized Atomic NormAug 21 2019In this paper, we propose a novel estimator for pilot-aided orthogonal frequency division multiplexing (OFDM) channels in an additive Gaussian and impulsive perturbation environment. Due to sensor failure which might happen because of man-made noise, ... More
Tensor Methods for Generating Compact Uncertainty Quantification and Deep Learning ModelsAug 21 2019Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate decision making ... More
Power-Efficient Resource Allocation in Massive MIMO Aided Cloud RANsAug 20 2019This paper considers the power-efficient resource allocation problem in a cloud radio access network (C-RAN). The C-RAN architecture consists of a set of base-band units (BBUs) which are connected to a set of radio remote heads (RRHs) equipped with massive ... More
Mixed-Timescale Beamforming and Power Splitting for Massive MIMO Aided SWIPT IoT NetworkAug 20 2019Traditional simultaneous wireless information and power transfer (SWIPT) with power splitting assumes perfect channel state information (CSI), which is difficult to obtain especially in the massive multiple-input-multiple-output (MIMO) regime. In this ... More
Blow-up and strong instability of standing waves for the NLS-$δ$ equation on a star graphAug 20 2019We study strong instability (by blow-up) of the standing waves for the nonlinear Schr\"odinger equation with $\delta$-interaction on a star graph $\Gamma$. The key ingredient is a novel variational technique applied to the standing wave solutions being ... More
Energy-Efficient Cooperative Caching in UAV NetworksAug 20 2019For an unmanned aerial vehicle (UAV) enabled network we investigate the energy-efficiency (EE) of joint caching and cooperative communication (Fog-RAN). Since UAVs are battery- and cache-limited, placing the popular contents in the caches and managing ... More
Matched-Filter based Backscatter Communication for IoT Devices over Ambient OFDM CarrierAug 19 2019In this paper, we study backscatter communication (BC) for power-limited devices that are connected to a network for the Internet of Things (IoT), where joint estimation and detection is carried out at a receiver to detect signals from a backscatter device ... More
Spectral determinant for the damped wave equation on an intervalAug 19 2019We evaluate the spectral determinant for the damped wave equation on an interval of length $T$ with Dirichlet boundary conditions, proving that it does not depend on the damping. This is achieved by analysing the square of the damped wave operator using ... More
On the spacing of zeros of paraorthogonal polynomials for singular measuresAug 19 2019We prove a lower bound on the spacing of zeros of paraorthogonal polynomials on the unit circle, based on continuity of the underlying measure as measured by Hausdorff dimensions. We complement this with the analog of the result from arXiv:1011.3159 showing ... More
Computing Spectral Measures and Spectral Types: New Algorithms and ClassificationsAug 19 2019Despite new results on computing the spectrum, there has been no general method able to compute spectral measures (as given by the classical spectral theorem) of infinite-dimensional normal operators. Given a matrix representation, we show that if each ... More
Extremal eigenvalues of the Dirichlet biharmonic operator on rectanglesAug 18 2019We study the behaviour of extremal eigenvalues of the Dirichlet biharmonic operator over rectangles with a given fixed area. We begin by proving that the principal eigenvalue is minimal for a rectangle for which the ratio between the longest and the shortest ... More
Sloshing, Steklov and corners: Asymptotics of Steklov eigenvalues for curvilinear polygonsAug 18 2019We obtain asymptotic formulae for the Steklov eigenvalues and eigenfunctions of curvilinear polygons in terms of their side lengths and angles. These formulae are quite precise: the errors tend to zero as the spectral parameter tends to infinity. The ... More
Ladders of eigenvalues and resonances in bipartite complex potentialsAug 18 2019We consider a Schroedinger operator on the axis with a bipartite potential consisting of two compactly supported complex-valued functions, whose supports are separated by a large distance. We show that this operator possesses a sequence of approximately ... More
Spacing gain and absorption in a simple $\mathcal{PT}$-symmetric model: spectral singularities and ladders of eigenvalues and resonancesAug 18 2019We consider a parity-time ($\mathcal{PT}$-) symmetric waveguide consisting of a localized gain and loss elements separated by a variable distance. The situation is modelled by a Schr\"odiner operator with localized complex $\mathcal{PT}$-symmetric potential. ... More
Greedy Algorithms for Hybrid Compressed SensingAug 18 2019Compressed sensing (CS) is a technique which uses fewer measurements than dictated by the Nyquist sampling theorem. The traditional CS with linear measurements achieves efficient recovery performances, but it suffers from the large bit consumption due ... More
Energy-Efficient Proactive Caching for Fog Computing with Correlated Task ArrivalsAug 17 2019With the proliferation of latency-critical applications, fog-radio network (FRAN) has been envisioned as a paradigm shift enabling distributed deployment of cloud-clone facilities at the network edge. In this paper, we consider proactive caching for a ... More
Scheduling Policies for Federated Learning in Wireless NetworksAug 17 2019Motivated by the increasing computational capacity of wireless user equipments (UEs), e.g., smart phones, tablets, or vehicles, as well as the increasing concerns about sharing private data, a new machine learning model has emerged, namely federated learning ... More
Deep Learning based Channel Estimation for Massive MIMO with Mixed-Resolution ADCsAug 17 2019In this article, deep learning is applied to estimate the uplink channels for mixed analog-to-digital converters (ADCs) massive multiple-input multiple-output (MIMO) systems, where a portion of antennas are equipped with high-resolution ADCs while others ... More
Convex geometry of the Coding problem for error constrained Dictionary LearningAug 16 2019In this article we expose the convex geometry of the class of coding problems that includes the likes of Basis Pursuit Denoising. We propose a novel reformulation of the coding problem as a convex-concave min-max problem. This particular reformulation ... More
On the eigenvalues of the Robin Laplacian with a complex parameterAug 16 2019We study the spectrum of the Robin Laplacian with a complex Robin parameter $\alpha$ on a bounded Lipschitz domain $\Omega$. We start by establishing a number of properties of the corresponding operator, such as generation properties, local analytic dependence ... More
Distilling On-Device Intelligence at the Network EdgeAug 16 2019Devices at the edge of wireless networks are the last mile data sources for machine learning (ML). As opposed to traditional ready-made public datasets, these user-generated private datasets reflect the freshest local environments in real time. They are ... More
Edge Computing-Enabled Cell-Free Massive MIMO SystemsAug 16 2019Mobile edge computing (MEC) has been introduced to provide additional computing capabilities at network edges in order to improve performance of latency critical applications. In this paper, we consider the cell-free (CF) massive MIMO framework with implementing ... More
Efficient Flicker-Free FEC Codes using Knuth's Balancing Algorithm for VLCAug 15 2019Visible light communication (VLC) provides a short-range optical wireless communication through light-emitting diode (LED) lighting. Light beam flickering and dimming are among the challenges to be addressed in VLC. Conventional methods for generating ... More
Sharp polynomial decay rates for the damped wave equation with Hölder-like dampingAug 15 2019We study decay rates for the energy of solutions of the damped wave equation on the torus. We consider dampings invariant in one direction and bounded above and below by multiples of $x^{\beta}$ near the boundary of the support and show decay at rate ... More
Distributed Rate Control in Downlink NOMA Networks with Reliability ConstraintsAug 15 2019Non-orthogonal multiple access (NOMA) has been identified as a promising technology for future wireless systems due to its performance gains in spectral efficiency when compared to conventional orthogonal schemes (OMA). This gain can be easily translated ... More
Strong Scott ConjectureAug 15 2019In heavy atoms and molecules, on the distances $\lesssim Z_m^{-1}$ from one of the nuclei (with a charge $Z_m$) we prove that $\rho_\Psi (x)$ is approximated in $L^1$-norm with the relative error $\ll Z_m^{-1/15}$ by the electronic density for a single ... More
On the Age of Information of Short-Packet Communications with Packet ManagementAug 15 2019Aug 19 2019In this paper, we consider a point-to-point wireless communication system. The source monitors a physical process and generates status update packets according to a Poisson process. The packets are transmitted to the destination by using finite blocklength ... More
On the Age of Information of Short-Packet Communications with Packet ManagementAug 15 2019In this paper, we consider a point-to-point wireless communication system. The source monitors a physical process and generates status update packets according to a Poisson process. The packets are transmitted to the destination by using finite blocklength ... More
Explicit Krein Resolvent Identities for Singular Sturm-Liouville Operators with Applications to Bessel OperatorsAug 15 2019We derive explicit Krein resolvent identities for generally singular Sturm-Liouville operators in terms of boundary condition bases and the Lagrange bracket. As an application of the resolvent identities obtained, we compute the trace of the resolvent ... More
Determination of isometric real-analytic metric and spectral invariants for elastic Dirichlet-to-Neumann map on Riemannian manifoldsAug 14 2019For a compact Riemannian manifold $(\Omega, g)$ with smooth boundary $\partial \Omega$, we explicitly give local representation and full symbol expression for the elastic Dirichlet-to-Neumann map $\Xi_g$ by factorizing an equivalent elastic equation. ... More
Eigenvalues of the Laplacian with densityAug 14 2019Let $(M,g)$ be a compact Riemannian manifold with a boundary of class $\mathscr{C}^{1}$. We are interested in the spectrum of the weighted Laplacian on $M$ with Neumann boundary conditions. More precisely, given $\rho$ and $\sigma$ two positive functions ... More
Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibilityAug 14 2019We consider Galerkin approximations of holomorphic Fredholm operator eigenvalue problems for which the operator values don't have the structure "coercive+compact". In this case the regularity (in sense of [O. Karma, Numer. Funct. Anal. Optim. 17 (1996)]) ... More
Low-PAPR Multi-channel OOK Waveform for IEEE 802.11ba Wake-up RadioAug 14 2019The peak-to-average-power ratio (PAPR) of the frequency domain multiplexed wake-up signals (WUSs) specified in IEEE P802.11ba can be very large and difficult to manage since it depends on the number and allocation of the active channels, and the data ... More
Cross-Layer Scheduling and Beamforming in Smart Grid Powered Small-Cell NetworksAug 13 2019In the small-cell networks (SCNs) with multiple small-cell base stations (ScBSs), the joint design of beamforming vectors, user scheduling and ScBS sleeping is investigated with the constraints on proportional rate. A long-term grid-energy expenditure ... More
Random Pilot and Data Access for Massive MIMO Spatially Correlated Rayleigh Fading ChannelsAug 13 2019Aug 15 2019Random access is necessary in crowded scenarios due to the limitation of pilot sequences and the intermittent pattern of device activity. Nowadays, most of the related works are based on independent and identically distributed (i.i.d.) channels. However, ... More
Differential equations for the recurrence coefficients limits for multiple orthogonal polynomials from a Nevai classAug 13 2019A limiting property of the nearest-neighbor recurrence coefficients for multiple orthogonal polynomials from a Nevai class is investigated. Namely, assuming that the nearest-neighbor coefficients have a limit along rays of the lattice, we describe it ... More
Spectral and Dynamic Consequences of Network SpecializationAug 12 2019One of the hallmarks of real networks is their ability to perform increasingly complex tasks as their topology evolves. To explain this, it has been observed that as a network grows certain subsets of the network begin to specialize the function(s) they ... More
Sharp Guarantees for Solving Random Equations with One-Bit InformationAug 12 2019We study the performance of a wide class of convex optimization-based estimators for recovering a signal from corrupted one-bit measurements in high-dimensions. Our general result predicts sharply the performance of such estimators in the linear asymptotic ... More
Efficient Resource Allocation for Mobile-Edge Computing Networks with NOMA: Completion Time and Energy MinimizationAug 12 2019This paper investigates an uplink non-orthogonal multiple access (NOMA)-based mobile-edge computing (MEC) network. Our objective is to minimize a linear combination of the completion time of all users' tasks and the total energy consumption of all users ... More
3-D Positioning and Environment Mapping for mmWave Communication SystemsAug 12 2019Millimeter-wave (mmWave) cloud radio access networks (CRANs) provide new opportunities for accurate cooperative localization, in which large bandwidths, large antenna arrays, and increased densities of base stations allow for their unparalleled delay ... More
Successive Projection Algorithm Robust to OutliersAug 12 2019The successive projection algorithm (SPA) is a fast algorithm to tackle separable nonnegative matrix factorization (NMF). Given a nonnegative data matrix $X$, SPA identifies an index set $\mathcal{K}$ such that there exists a nonnegative matrix $H$ with ... More
Quasi-Fredholm spectrum and compact perturbationsAug 12 2019In this paper we explore some characteristics of the quasi-Fredholm resolvent set $\rho_{qf}(T)$ of an operator $T$ defined on an infinite dimensional Banach space $X$. Moreover, in the case of Hilbert space $H$, we study the stability of the SVEP and ... More
Reinforcement Learning for Maneuver Design in UAV-Enabled NOMA System with Segmented ChannelAug 12 2019This paper considers an unmanned aerial vehicle enabled-up link non-orthogonal multiple-access system, where multiple mobile users on the ground send independent messages to a unmanned aerial vehicle in the sky via non-orthogonal multiple-access transmission. ... More
Performance Analysis of Cooperative V2V and V2I Communications under Correlated FadingAug 11 2019Cooperative vehicular networks will play a vital role in the coming years to implement various intelligent transportation-related applications. Both vehicle-to-vehicle (V2V) and vehicle-to-infrastructure (V2I) communications will be needed to reliably ... More
Noncompact complete Riemannian manifolds with singular continuous spectrum embedded into the essential spectrum of the Laplacian, I. The hyperbolic caseAug 10 2019We construct Riemannian manifolds with singular continuous spectrum embedded in the absolutely continuous spectrum of the Laplacian. Our manifolds are asymptotically hyperbolic with sharp curvature bounds.
Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$Aug 10 2019We establish Anderson localization for general analytic $k$-frequency quasi-periodic operators on $\mathbb{Z}^d$ for \textit{arbitrary} $k,d$.
High-girth near-Ramanujan graphs with localized eigenvectorsAug 10 2019We show that for every prime $d$ and $\alpha\in (0,1/6)$, there is an infinite sequence of $(d+1)$-regular graphs $G=(V,E)$ with girth at least $2\alpha \log_{d}(|V|)(1-o_d(1))$, second adjacency matrix eigenvalue bounded by $(3/\sqrt{2})\sqrt{d}$, and ... More
Interference Exploitation 1-Bit Massive MIMO Precoding: A Partial Branch-and-Bound Solution with Near-Optimal PerformanceAug 10 2019In this paper, we focus on 1-bit precoding approaches for downlink massive multiple-input multiple-output (MIMO) systems, where we exploit the concept of constructive interference (CI). For both PSK and QAM signaling, we firstly formulate the optimization ... More
The Doubly Stochastic Single Eigenvalue Problem: A Computational ApproachAug 09 2019The problem of determining $DS_n$, the complex numbers that occur as an eigenvalue of an $n$-by-$n$ doubly stochastic matrix, has been a target of study for some time. The Perfect-Mirsky region, $PM_n$, is contained in $DS_n$, and is known to be exactly ... More
The angle along a curve and range-kernel complementarityAug 09 2019In this paper, we define the angle of a bounded linear operator $A$ along an unbounded path emanating from the origin and use it to characterize range-kernel complementarity. In particular we show that if $0$ faces the unbounded component of the resolvent ... More
Slepian-Bangs formula and Cramer Rao bound for circular and non-circular complex elliptical symmetric distributionsAug 09 2019This paper is mainly dedicated to an extension of the Slepian-Bangs formula to non-circular complex elliptical symmetric (NC-CES) distributions, which is derived from a new stochastic representation theorem. This formula includes the non-circular complex ... More
Inverse problems for a conformable fractional Sturm-Liouville operatorAug 09 2019In this paper, a Sturm-Liouville boundary value problem equiped with conformable fractional derivates is considered. We give some uniqueness theorems for the solutions of inverse problems according to the Weyl function, two given spectra and classical ... More
Effective mass of the polaron -- revisitedAug 09 2019Properties of the energy-momentum relation for the Fr\"ohlich polaron are of continuing interest, especially for large values of the coupling constant. By combining spectral theory with the available results on the central limit theorem for the polaron ... More
Deep Learning based Downlink Channel Prediction for FDD Massive MIMO SystemAug 09 2019In a frequency division duplexing (FDD) massive multiple-input multiple-output (MIMO) system, the acquisition of downlink channel state information (CSI) at base station (BS) is a very challenging task due to the overwhelming overheads required for downlink ... More
Domains without dense Steklov nodal setsAug 09 2019This article concerns the asymptotic geometric character of the nodal set of the eigenfunctions of the Steklov eigenvalue problem $$ -\Delta \phi_{\sigma_j}=0,\quad\text{ on }\Omega,\qquad\qquad \partial_\nu \phi_{\sigma_j}=\sigma_j \phi_{\sigma_j}\quad ... More
A 354Mb/s 0.37mm^2 151mW 32-User 256-QAM Near-MAP Soft-Input Soft-Output Massive MU-MIMO Data Detector in 28nm CMOSAug 09 2019This paper presents a novel data detector ASIC for massive multiuser multiple-input multiple-output (MU-MIMO) wireless systems. The ASIC implements a modified version of the large-MIMO approximate message passing algorithm (LAMA), which achieves near-optimal ... More
Reflections in the Sky: Millimeter Wave Communication with UAV-Carried Intelligent ReflectorsAug 08 2019In this paper, a novel approach that uses an unmanned aerial vehicle (UAV)-carried intelligent reflector (IR) is proposed to enhance the performance of millimeter wave (mmW) networks. In particular, the UAV-IR is used to intelligently reflect mmW beamforming ... More
On Max-Min SINR with MMSE Processing for Uplink Cell-Free Massive MIMOAug 08 2019The problem of max-min signal-to-interference plus noise ratio (SINR) for uplink transmission of cell-free massive multiple-input multiple-output (MIMO) system is considered. We assume that the system is employed with local minimum mean square error (L-MMSE) ... More
On Max-Min SINR with MMSE Processing for Uplink Cell-Free Massive MIMOAug 08 2019Aug 13 2019The problem of max-min signal-to-interference plus noise ratio (SINR) for uplink transmission of cell-free massive multiple-input multiple-output (MIMO) system is considered. We assume that the system is employed with local minimum mean square error (L-MMSE) ... More
Demystifying the Power Scaling Law of Intelligent Reflecting Surfaces and MetasurfacesAug 08 2019Intelligent reflecting surfaces (IRSs) have recently attracted the attention of communication theorists as a means to control the wireless propagation channel. It has been shown that the signal-to-noise ratio (SNR) of a single-user IRS-aided transmission ... More
Scalable Cell-Free Massive MIMO SystemsAug 08 2019Imagine a coverage area with many wireless access points that cooperate to jointly serve the users, instead of creating autonomous cells. Such a cell-free network operation can potentially resolve many of the interference issues that appear in current ... More
BEACHES: Beamspace Channel Estimation for Multi-Antenna mmWave Systems and BeyondAug 08 2019Massive multi-antenna millimeter wave (mmWave) and terahertz wireless systems promise high-bandwidth communication to multiple user equipments in the same time-frequency resource. The high path loss of wave propagation at such frequencies and the fine-grained ... More
Improving Channel Charting with Representation-Constrained AutoencodersAug 07 2019Channel charting (CC) has been proposed recently to enable logical positioning of user equipments (UEs) in the neighborhood of a multi-antenna base-station solely from channel-state information (CSI). CC relies on dimensionality reduction of high-dimensional ... More
Neumann Data Mass on Perturbed TrianglesAug 07 2019Based on a previous paper [Chr17] on Neumann data for Dirichlet eigenfunctions on triangles, we extend the study in two ways. First, we investigate the (semi-classical) Neumann data mass on perturbed triangles. Specifically, we replace one side of a triangle ... More
Hybrid Precoding for Multi-Group Multicasting in mmWave SystemsAug 07 2019Multicast beamforming is known to improve spectral efficiency. However, its benefits and challenges for hybrid precoders design in millimeter-wave (mmWave) systems remain understudied. To this end, this paper investigates the first joint design of hybrid ... More
New eigenvalue estimates involving Bessel functionsAug 07 2019Given a compact Riemannian manifold (M n , g) with boundary $\partial$M , we give an estimate for the quotient $\partial$M f d$\mu$ g M f d$\mu$ g , where f is a smooth positive function defined on M that satisfies some inequality involving the scalar ... More
Quantum Calculus-based Volterra LMS for Nonlinear Channel EstimationAug 07 2019A novel adaptive filtering method called $q$-Volterra least mean square ($q$-VLMS) is presented in this paper. The $q$-VLMS is a nonlinear extension of conventional LMS and it is based on Jackson's derivative also known as $q$-calculus. In Volterra LMS, ... More
The essential spectrum of canonical systemsAug 06 2019We study the minimum of the essential spectrum of canonical systems $Ju'=-zHu$. Our results can be described as a generalized and more quantitative version of the characterization of systems with purely discrete spectrum, which was recently obtained by ... More
Strichartz estimates for the one-dimensional wave equationAug 06 2019We study the hyperboloidal initial value problem for the one-dimensional wave equation perturbed by a smooth potential. We show that the evolution decomposes into a finite-dimensional spectral part and an infinite-dimensional radiation part. For the radiation ... More
Semiclassical eigenvalue asymptotics for the Bochner Laplacian of a positive line bundle on a symplectic manifoldAug 05 2019We consider the Bochner Laplacian on high tensor powers of a positive line bundle on a closed symplectic manifold (or, equivalently, the semiclassical magnetic Schr\"odinger operator with the non-degenerate magnetic field). We assume that the operator ... More
Review of Yau's conjecture on zero sets of Laplace eigenfunctionsAug 05 2019This is a review of old and new results and methods related to the Yau conjecture on the zero set of Laplace eigenfunctions. The review accompanies two lectures given at the conference CDM 2018. We discuss the works of Donnelly and Fefferman including ... More
A Unifying Analysis of Shift Operators on a GraphAug 05 2019The maximum entropy principle is employed to introduce a general class of shift operators (GSO) for random signals on a graph. By virtue of the assumed probabilistic framework, the proposed GSO is shown to be both bounded and to exhibit the desired property ... More
The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifoldsAug 05 2019Aug 18 2019We introduce a quasi-convex relaxation of the $\mathsf{CD}(K,N)$ condition we call the Quasi Curvature-Dimension condition $\mathsf{QCD}(Q,K,N)$. Our motivation stems from a recent interpolation inequality along Wasserstein geodesics in the ideal sub-Riemannian ... More
The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifoldsAug 05 2019We introduce a quasi-convex relaxation of the $\mathsf{CD}(K,N)$ condition we call the Quasi Curvature-Dimension condition $\mathsf{QCD}(Q,K,N)$. Our motivation stems from a recent interpolation inequality along Wasserstein geodesics in the ideal sub-Riemannian ... More
The Quasi Curvature-Dimension Condition with applications to sub-Riemannian manifoldsAug 05 2019Aug 07 2019We introduce a quasi-convex relaxation of the $\mathsf{CD}(K,N)$ condition we call the Quasi Curvature-Dimension condition $\mathsf{QCD}(Q,K,N)$. Our motivation stems from a recent interpolation inequality along Wasserstein geodesics in the ideal sub-Riemannian ... More
Relative Spectral Invariants of Elliptic Operators on ManifoldsAug 04 2019We introduce and study {\it new} relative spectral invariants of {\it two} elliptic partial differential operators of Laplace and Dirac type on compact smooth manifolds without boundary that depend on both the eigenvalues and the eigensections of and ... More
Dependence Control for Reliability Optimization in Vehicular NetworksAug 03 2019Vehicular networks will play an important role in enhancing road safety, improving transportation efficiency, and providing seamless Internet service for users on the road. Reaping the benefit of vehicular networks is contingent upon meeting stringent ... More
An Incremental Approach to Online Dynamic Mode Decomposition for Time-Varying Systems with Applications to EEG Data ModelingAug 02 2019Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a time-invariant ... More
Topology of the nodal set of random equivariant spherical harmonics on $S^3$Aug 02 2019We show that real and imaginary parts of equivariant spherical harmonics on $S^3$ have almost surely a single nodal component. Moreover, if the degree of the spherical harmonic is $N$ and the equivariance degree is $m$, then the expected genus is proportional ... More
A Caching Strategy Towards Maximal D2D Assisted Offloading GainAug 02 2019Device-to-Device (D2D) communications incorporated with content caching have been regarded as a promising way to offload the cellular traffic data. In this paper, the caching strategy is investigated to maximize the D2D offloading gain with the comprehensive ... More
Robust Deep Sensing Through Transfer Learning in Cognitive RadioAug 01 2019We propose a robust spectrum sensing framework based on deep learning. The received signals at the secondary user's receiver are filtered, sampled and then directly fed into a convolutional neural network. Although this deep sensing is effective when ... More
FCFGS-CV-Based Channel Estimation for Wideband MmWave Massive MIMO Systems with Low-Resolution ADCsAug 01 2019In this paper, the fully corrective forward greedy selection-cross validation-based (FCFGS-CV-based) channel estimator is proposed for wideband millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems with low-resolution analog-to-digital ... More
Directional Measurements in Urban Street Canyons from Macro Rooftop Sites at 28 GHz for 90% Outdoor CoverageAug 01 2019Path gain and effective directional gain in urban canyons from actual rooftop base station sites are characterized based on a massive data set of 3000 links on 12 streets in two cities, with over 21 million individual measurements. Large street-to-street ... More
Directional Measurements in Urban Street Canyons from Macro Rooftop Sites at 28 GHz for 90% Outdoor CoverageAug 01 2019Aug 02 2019Path gain and effective directional gain in urban canyons from actual rooftop base station sites are characterized based on a massive data set of 3000 links on 12 streets in two cities, with over 21 million individual measurements. Large street-to-street ... More
Adaptive Kernel Learning in Heterogeneous NetworksAug 01 2019We consider the framework of learning over decentralized networks, where nodes observe unique, possibly correlated, observation streams. We focus on the case where agents learn a regression \emph{function} that belongs to a reproducing kernel Hilbert ... More
Gradient Pursuit-Based Channel Estimation for MmWave Massive MIMO Systems with One-Bit ADCsAug 01 2019In this paper, channel estimation for millimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems with one-bit analog-to-digital converters (ADCs) is considered. In the mmWave band, the number of propagation paths is small, which results ... More
Learning to Denoise and Decode: A Novel Residual Neural Network Decoder for Polar CodesAug 01 2019Polar codes have been adopted as the control channel coding scheme in the fifth generation new radio (5G NR) standard due to its capacity-achievable property. Traditional polar decoding algorithms such as successive cancellation (SC) suffer from high ... More
First Experimental Demonstration of Probabilistic Enumerative Sphere Shaping in Optical Fiber CommunicationsAug 01 2019We transmit probabilistic enumerative sphere shaped dual-polarization 64-QAM at 350Gbit/s/channel over 1610km SSMF using a short blocklength of 200. A reach increase of 15\% over constant composition distribution matching with identical blocklength is ... More
First Experimental Demonstration of Probabilistic Enumerative Sphere Shaping in Optical Fiber CommunicationsAug 01 2019Aug 19 2019We transmit probabilistic enumerative sphere shaped dual-polarization 64-QAM at 350Gbit/s/channel over 1610km SSMF using a short blocklength of 200. A reach increase of 15% over constant composition distribution matching with identical blocklength is ... More
Complex-BP-Neural-Network-based Hybrid Precoding for Millimeter Wave Multiuser Massive MIMO SystemsAug 01 2019The high energy consumption of massive multi-input multi-out (MIMO) system has become a prominent problem in the millimeter wave(mm-Wave) communication scenario. The hybrid precoding technology greatly reduces the number of radio frequency(RF) chains ... More
Deep Task-Based QuantizationAug 01 2019Quantizers play a critical role in digital signal processing systems. Recent works have shown that the performance of quantization systems acquiring multiple analog signals using scalar analog-to-digital converters (ADCs) can be significantly improved ... More
Covering graphs, magnetic spectral gaps and applications to polymers and nanoribbonsAug 01 2019In this article, we analyze the spectrum of discrete magnetic Laplacians (DML) on an infinite covering graph $\widetilde{G} \rightarrow G=\widetilde{G} /\Gamma$ with (Abelian) lattice group $\Gamma$ and periodic magnetic potential $\widetilde{\beta}$. ... More
Achievable Degrees of Freedom for Closed-form Solution to Interference Alignment and Cancellation in Gaussian Interference Multiple Access ChannelAug 01 2019A combined technique of interference alignment (IA) and interference cancellation (IC), known as interference alignment and cancellation (IAC) scheme, has been proposed to improve the total achievable degrees of freedom (DoFs) over IA. Since it is NP-hard ... More
Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvaluesAug 01 2019We compute the Cheeger constants of a collection of hyperbolic surfaces corresponding to maximal non-compact arithmetic Fuchsian groups, and to subgroups which are the rotation subgroup of maximal reflection groups. The Cheeger constants are geometric ... More