Bandlimiting
View article: Discrete Signal Processing on Graphs: Sampling Theory
Discrete Signal Processing on Graphs: Sampling Theory Open
We propose a sampling theory for signals that are supported on either directed or undirected graphs. The theory follows the same paradigm as classical sampling theory. We show that the perfect recovery is possible for graph signals bandlim…
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Sampling Theory: Beyond Bandlimited Systems Open
Covering the fundamental mathematical underpinnings together with key principles and applications, this book provides a comprehensive guide to the theory and practice of sampling from an engineering perspective. Beginning with traditional …
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Efficient Sampling Set Selection for Bandlimited Graph Signals Using Graph Spectral Proxies Open
We study the problem of selecting the best sampling set for bandlimited\nreconstruction of signals on graphs. A frequency domain representation for\ngraph signals can be defined using the eigenvectors and eigenvalues of\nvariation operator…
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Local-Set-Based Graph Signal Reconstruction Open
Signal processing on graph is attracting more and more attentions. For a graph signal in the low-frequency subspace, the missing data associated with unsampled vertices can be reconstructed through the sampled data by exploiting the smooth…
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On Unlimited Sampling and Reconstruction Open
Shannon's sampling theorem is one of the cornerstone topics that is well understood and explored, both mathematically and algorithmically. That said, practical realization of this theorem still suffers from a severe bottleneck due to the f…
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Reconstruction of Graph Signals Through Percolation from Seeding Nodes Open
New schemes to recover signals defined in the nodes of a graph are proposed.\nOur focus is on reconstructing bandlimited graph signals, which are signals\nthat admit a sparse representation in a frequency domain related to the\nstructure o…
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Multi-band carrier-less amplitude and phase modulation for bandlimited visible light communications systems Open
Visible light communications is a technology with enormous potential for a wide range of applications within next generation transmission and broadcasting technologies. VLC offers simultaneous illumination and data communications by intens…
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A Distributed Tracking Algorithm for Reconstruction of Graph Signals Open
The rapid development of signal processing on graphs provides a new\nperspective for processing large-scale data associated with irregular domains.\nIn many practical applications, it is necessary to handle massive data sets\nthrough compl…
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Using superoscillations for superresolved imaging and subwavelength focusing Open
It is now well-appreciated that a bandlimited wave can possess oscillations much more rapidly than those predicted by the bandlimit itself, in a phenomenon known as superoscillation. Such superoscillations are required to be of dramaticall…
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Nyquist Sampling and Degrees of Freedom of Electromagnetic Fields Open
A signal space approach is presented to study the Nyquist sampling, number of\ndegrees of freedom and reconstruction of an electromagnetic field under\narbitrary scattering conditions. Conventional signal processing tools, such as\nthe mul…
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Aliasing Reduction in Clipped Signals Open
An aliasing reduction method for hard-clipped sampled signals is proposed. Clipping in the digital domain causes a large amount of harmonic distortion, which is not bandlimited, so spectral components generated above the Nyquist limit are …
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Generalized Sampling on Graphs With Subspace and Smoothness Priors Open
We propose a framework for generalized sampling of graph signals that parallels sampling in shift-invariant (SI) subspaces. This framework allows for arbitrary input signals, which are not constrained to be bandlimited. Furthermore, the sa…
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Sampling and Reconstruction of Bandlimited Signals With Multi-Channel Time Encoding Open
Sampling is classically performed by recording the amplitude of an input\nsignal at given time instants; however, sampling and reconstructing a signal\nusing multiple devices in parallel becomes a more difficult problem to solve\nwhen the …
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DAYENU: a simple filter of smooth foregrounds for intensity mapping power spectra Open
We introduce DPSS Approximate lazY filtEriNg of foregroUnds (dayenu), a linear, spectral filter for H i intensity mapping that achieves the desirable foreground mitigation and error minimization properties of inverse co-variance weighting …
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Low-complexity Graph Sampling With Noise and Signal Reconstruction via Neumann Series Open
Graph sampling addresses the problem of selecting a node subset in a graph to\ncollect samples, so that a K-bandlimited signal can be reconstructed in high\nfidelity. Assuming an independent and identically distributed (i.i.d.) noise\nmode…
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Deep ReLU networks overcome the curse of dimensionality for bandlimited functions Open
We prove a theorem concerning the approximation of bandlimited multivariate functions by deep ReLU networks for which the curse of the dimensionality is overcome. Our theorem is based on a result by Maurey and on the ability of deep ReLU n…
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Data-driven control over short-period internal multiples in media with a horizontally layered overburden Open
SUMMARY Short-period internal multiples, resulting from closely spaced interfaces, may interfere with their generating (bandlimited) primaries, and hence they pose a long-standing challenge in their prediction and removal. A recently propo…
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Handling short-period scattering using augmented Marchenko autofocusing Open
SUMMARY Marchenko autofocusing constructs arbitrary acoustic wavefields inside an unknown heterogeneous medium from a single-sided, bandlimited in practice, reflection response by solving the Marchenko equation. Presence of short-period sc…
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Back in the US-SR: Unlimited Sampling and Sparse Super-Resolution With Its Hardware Validation Open
The Unlimited Sensing Framework (USF) is a digital acquisition protocol that allows for sampling and reconstruction of high dynamic range signals. By acquiring modulo samples, the USF circumvents the clipping or saturation problem that is …
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Controllability of Bandlimited Graph Processes Over Random Time Varying Graphs Open
Controllability of complex networks arises in many technological problems\ninvolving social, financial, road, communication, and smart grid networks. In\nmany practical situations, the underlying topology might change randomly with\ntime, …
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Fairness-aware hybrid NOMA/OFDMA for bandlimited multi-user VLC systems Open
In this paper, we for the first time propose and experimentally demonstrate a fairness-aware hybrid non-orthogonal multiple access/orthogonal frequency division multiple access (NOMA/OFDMA) scheme for practical bandlimited multi-user visib…
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Compressive Temporal Higher Order Cyclostationary Statistics Open
The application of nonlinear transformations to a cyclostationary signal for\nthe purpose of revealing hidden periodicities has proven to be useful for\napplications requiring signal selectivity and noise tolerance. The fact that\nthe hidd…
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Squeezing Kappa (<i>κ</i>) Out of the Transportable Array: A Strategy for Using Bandlimited Data in Regions of Sparse Seismicity Open
The κ parameter (Anderson and Hough, 1984), and namely its site-specific component (κ0), is important for predicting and simulating high-frequency ground motion. We develop a framework for estimating κ0 and addressing uncertainties under t…
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Fast inverse nonlinear Fourier transform Open
This paper considers the non-Hermitian Zakharov-Shabat scattering problem which forms the basis for defining the SU(2)-nonlinear Fourier transform (NFT). The theoretical underpinnings of this generalization of the conventional Fourier tran…
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Channeled spatio–temporal Stokes polarimeters Open
We present the analysis and design of spatio-temporal channeled Stokes polarimeters. We extend our recent work on optimal pixelated polarizer arrays by utilizing temporal carrier generation, resulting in polarimeters that achieve superreso…
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LED Nonlinearity Estimation and Compensation in VLC Systems Using Probabilistic Bayesian Learning Open
In this paper, we propose and evaluate a novel light-emitting diode (LED) nonlinearity estimation and compensation scheme using probabilistic Bayesian learning (PBL) for spectral-efficient visible light communication (VLC) systems. The non…
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Orthogonal Full-Field Optical Sampling Open
Sampling is the first step to convert analogue into digital signals and one of the
\nbasic concepts for information handling. All practical sampling systems, however, are accompanied
\nwith errors. Bandwidth-limited signals can be seen as …
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Audio source separation based on convolutive transfer function and frequency-domain lasso optimization Open
International audience
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On Bandlimited Signal Reconstruction From the Distribution of Unknown Sampling Locations Open
In remote sensing with a large array of spatially distributed sensors, localization of individual sensor nodes could be difficult. Motivated by the smart-dust paradigm, this work addresses the reconstruction of spatially bandlimited fields…
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Overlap Frequency Domain Equalization for Faster-than-Nyquist Signaling Open
This letter proposes the Faster-than-Nyquist signaling (FTNS) using overlap frequency domain equalization (FDE), which compensates the inter-symbol interference (ISI) due to band limiting filters of the FTNS at the transmitter and the rece…