149 citations · 220 across the 14 of their papers we have counts for
15 papers
Atomic Hybrid Sparse/Diffuse Channel Estimation and Cramér-Rao Bounds Analysis
Lei Lyu, Maxime Ferreira Da Costa, Urbashi Mitra
In this paper, an atomic hybrid sparse/diffuse (aHSD) channel model in the frequency domain is proposed. Based on a structural analysis of the resolvable paths and diffuse scatteri…
Physical Layer Location Privacy in SIMO Communication Using Fake Path Injection
Trong Duy Tran, Maxime Ferreira Da Costa, Linh Trung Nguyen
Fake path injection is an emerging paradigm for inducing privacy over wireless networks. In this paper, fake paths are injected by the transmitters into a single-input multiple-out…
Guaranteed Private Communication with Secret Block Structure
Maxime Ferreira Da Costa, Jianxiu Li, Urbashi Mitra
A novel private communication framework is proposed where privacy is induced by transmitting over a channel instances of linear inverse problems that are identifiable to the legiti…
Local Geometry of Nonconvex Spike Deconvolution from Low-Pass Measurements
Maxime Ferreira Da Costa, Yuejie Chi
Spike deconvolution is the problem of recovering the point sources from their convolution with a known point spread function, which plays a fundamental role in many sensing and ima…
Joint Localization and Orientation Estimation in Millimeter-Wave MIMO OFDM Systems via Atomic Norm Minimization
Jianxiu Li, Maxime Ferreira Da Costa, Urbashi Mitra
Herein, an atomic norm based method for accurately estimating the location and orientation of a target from millimeter-wave multi-input-multi-output (MIMO) orthogonal frequency-div…
On the Stability of Super-Resolution and a Beurling-Selberg Type Extremal Problem
Maxime Ferreira Da Costa, Urbashi Mitra
Super-resolution estimation is the problem of recovering a stream of spikes (point sources) from the noisy observation of a few numbers of its first trigonometric moments. The perf…
Atomic Norm Based Localization and Orientation Estimation for Millimeter-Wave MIMO OFDM Systems
Jianxiu Li, Maxime Ferreira Da Costa, Urbashi Mitra
Herein, an atomic norm based method for accurately estimating the location and orientation of a target from millimeter-wave multi-input-multi-output (MIMO) orthogonal frequency-div…
A Framework for Private Communication with Secret Block Structure
Maxime Ferreira Da Costa, Urbashi Mitra
Harnessing a block-sparse prior to recover signals through underdetermined linear measurements has been extensively shown to allow exact recovery in conditions where classical comp…
Compressed Super-Resolution of Positive Sources
Maxime Ferreira Da Costa, Yuejie Chi
Atomic norm minimization is a convex optimization framework to recover point sources from a subset of their low-pass observations, or equivalently the underlying frequencies of a s…
On the Stable Resolution Limit of Total Variation Regularization for Spike Deconvolution
Maxime Ferreira Da Costa, Yuejie Chi
The stability of spike deconvolution, which aims at recovering point sources from their convolution with a point spread function (PSF), is known to be related to the separation bet…
Harnessing Sparsity over the Continuum: Atomic Norm Minimization for Super Resolution
Yuejie Chi, Maxime Ferreira Da Costa
Convex optimization recently emerges as a compelling framework for performing super resolution, garnering significant attention from multiple communities spanning signal processing…
A Tight Converse to the Spectral Resolution Limit via Convex Programming
Maxime Ferreira Da Costa, Wei Dai
It is now well understood that convex programming can be used to estimate the frequency components of a spectrally sparse signal from uniform temporal measurements. It is co…
Low Dimensional Atomic Norm Representations in Line Spectral Estimation
Maxime Ferreira Da Costa, Wei Dai
The line spectral estimation problem consists in recovering the frequencies of a complex valued time signal that is assumed to be sparse in the spectral domain from its discrete ob…
Exact Dimensionality Reduction for Partial Line Spectra Estimation Problems
Maxime Ferreira Da Costa, Wei Dai
Line spectral estimation theory aims to estimate the off-the-grid spectral components of a time signal with optimal precision. Recent results have shown that it is possible to reco…
Achieving Super-Resolution in Multi-Rate Sampling Systems via Efficient Semidefinite Programming
M. Ferreira Da Costa, W. Dai
Super-resolution theory aims to estimate the discrete components lying in a continuous space that constitute a sparse signal with optimal precision. This work investigates the pote…