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2015 International Conference on Sampling Theory and Applications (SampTA)

25-29 May 2015

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Displaying Results 1 - 25 of 134
  • Index

    Publication Year: 2015, Page(s): 1
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  • Foreword of the proceedings of the 11th international conference on sampling theory and applications

    Publication Year: 2015, Page(s): 1
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  • Committees

    Publication Year: 2015, Page(s): 1
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  • Technical program committee

    Publication Year: 2015, Page(s): 1
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  • Generalized poisson summation formula for tempered distributions

    Publication Year: 2015, Page(s):1 - 5
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (284 KB) | HTML iconHTML

    The Poisson summation formula (PSF), which relates the sampling of an analog signal with the periodization of its Fourier transform, plays a key role in the classical sampling theory. In its current forms, the formula is only applicable to a limited class of signals in L1. However, this assumption on the signals is too strict for many applications in signal processing that require sampl... View full abstract»

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  • On a time-frequency approach to translation on finite graphs

    Publication Year: 2015, Page(s):6 - 10
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (929 KB) | HTML iconHTML

    The authors of [1] have used spectral graph theory to define a Fourier transform on finite graphs. With this definition, one can use elementary properties of classical time-frequency analysis to define time-frequency operations on graphs including convolution, modulation, and translation. Many of these graph operators have properties that match our intuition in Euclidean space. The exception lies ... View full abstract»

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  • UWB signal processing: Projection, B-splines, and modified Gegenbauer bases

    Publication Year: 2015, Page(s):11 - 15
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (196 KB) | HTML iconHTML

    Ultra-wide band (UWB) systems require either rapidly changing or very high sampling rates. Conventional analog-to-digital devices have limited dynamic range. We investigate UWB signal processing via a basis projection method and a basis system designed for UWB signals. The method first windows the signal and then decomposes the signal into a basis via a continuous-time inner product operation, com... View full abstract»

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  • Maximally concentrated signals in the special affine fourier transformation domain

    Publication Year: 2015, Page(s):16 - 20
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (292 KB) | HTML iconHTML

    The problem of maximizing the energy of a signal bandlimited to E1 = [-σ, σ] on an interval T1 = [-τ, τ] in the time domain, which is called the energy concentration problem, was solved by a group of mathematicians, D. Slepian, H. Landau, and H. Pollak, at Bell Labs in the 1960s. The goal of this article is to solve the energy concentration problem... View full abstract»

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  • Cardinal sine series: Oversampling and non-existence

    Publication Year: 2015, Page(s):21 - 24
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (256 KB) | HTML iconHTML

    Growth conditions are given on the samples f(n), n = 0, ±1, ±2, ..., of an entire function f(z) of exponential type less than π that imply that the corresponding cardinal sine series converges. These conditions are the least restrictive of their kind that are possible. Furthermore, an example is provided of an entire function f(z) of exponential type π that is bounded o... View full abstract»

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  • Compressive sensing with redundant dictionaries and structured measurements

    Publication Year: 2015, Page(s):25 - 29
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (306 KB) | HTML iconHTML

    Sparse approximation methods for the recovery of signals from undersampled data when the signal is sparse in an overcomplete dictionary have received much attention recently due to their practical importance. A common assumption is the D-restricted isometry property (D-RIP), which asks that the sampling matrix approximately preserve the norm of all signals sparse in D. While many classes of random... View full abstract»

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  • Analysis of sparse recovery in MIMO radar

    Publication Year: 2015, Page(s):30 - 33
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (286 KB) | HTML iconHTML

    We study a multiple-input multiple-output (MIMO) model for radar and provide recovery guarantees for a compressive sensing approach. Several transmit antennas send random pulses over some time-period and the echo is recorded by several receive antennas. The radar scene is resolved on an azimuth-range-Doppler grid. Sparsity is a natural assumption in this context and we study recovery of the radar ... View full abstract»

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  • Nonuniform sparse recovery with random convolutions

    Publication Year: 2015, Page(s):34 - 38
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (272 KB) | HTML iconHTML

    We discuss the use of random convolutions for Compressed Sensing applications. In particular, we will show that after convolving an N-dimensional, s-sparse signal with a Rademacher or Steinhaus sequence, it can be recovered via l1-minimization using only m ≳ s log(N/ε) arbitrary chosen samples with probability at least 1 - ε. View full abstract»

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  • Modeling and recovering non-transitive pairwise comparison matrices

    Publication Year: 2015, Page(s):39 - 43
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (279 KB) | HTML iconHTML

    Pairwise comparison matrices arise in numerous applications including collaborative filtering, elections, economic exchanges, etc. In this paper, we propose a new low-rank model for pairwise comparison matrices that accommodates non-transitive pairwise comparisons. Based on this model, we consider the regime where one has limited observations of a pairwise comparison matrix and wants to reconstruc... View full abstract»

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  • Regular operator sampling for parallelograms

    Publication Year: 2015, Page(s):44 - 47
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (308 KB) | HTML iconHTML

    Operator sampling considers the question of when operators of a given class can be distinguished by their action on a single probing signal. The fundamental result in this theory shows that the answer depends on the area of the support S of the so-called spreading function of the operator (i.e., the symplectic Fourier transform of its Kohn-Nirenberg symbol). |S| <; 1 then identification is poss... View full abstract»

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  • On boundedness inequalities of some semi-discrete operators in connection with sampling operators

    Publication Year: 2015, Page(s):48 - 52
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (273 KB) | HTML iconHTML

    The main aim of this paper is to study some boundedness inequalities of certain semi-discrete operators. These operators allow to unify some inequalities for both the Shannon sampling operators and Kantorovich-type operators. View full abstract»

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  • On approximation properties of generalized Kantorovich-type sampling operators

    Publication Year: 2015, Page(s):53 - 57
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (842 KB) | HTML iconHTML

    In this paper, we generalize the notion of Kantorovich-type sampling operators using the Fejér-type singular integral. By means of these operators we are able to reconstruct signals (functions) which are not necessarily continuous. Moreover, our generalization allows us to take the measurement error into account. The goal of this paper is to estimate the rate of approximation by the above ... View full abstract»

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  • Unified convex optimization approach to super-resolution based on localized kernels

    Publication Year: 2015, Page(s):58 - 62
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (392 KB) | HTML iconHTML

    The problem of resolving the fine details of a signal from its coarse scale measurements or, as it is commonly referred to in the literature, the super-resolution problem arises naturally in engineering and physics in a variety of settings. We suggest a unified convex optimization approach for super-resolution. The key is the construction of an interpolating polynomial in the measurements space ba... View full abstract»

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  • Wavelet coorbit theory in higher dimensions: An overview

    Publication Year: 2015, Page(s):63 - 67
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (258 KB) | HTML iconHTML

    The continuous wavelet transform is frequently described as a mathematical microscope. In higher dimensions, there is an increasingly larger choice of such microscopes available, which significantly differ in the way that the wavelet (the “lense” of the microscope) is scaled/rotated/sheared etc. by elements of the dilation group. Summarizing recent results, this note presents a unifi... View full abstract»

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  • Sampling, amenability and the Kunze-Stein phenomenon

    Publication Year: 2015, Page(s):68 - 72
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (214 KB) | HTML iconHTML

    Inspired by recent work on the connection between representation theory and atomic decompositions, we take a look at convolution operators on non-unimodular amenable groups as well as non-compact semi-simple Lie groups. We then discuss this in context of sampling. Furthermore, we look at sampling and optimal sampling sets for some often studied spaces. View full abstract»

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  • Sampling and interpolation on certain nilpotent lie groups

    Publication Year: 2015, Page(s):73 - 77
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (284 KB) | HTML iconHTML

    Rank-one left-invariant subspaces of L2(G) that are sampling spaces and possess the interpolation property with respect to a class of discrete subsets of G are characterized for certain two-step nilpotent Lie groups G. View full abstract»

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  • Reconstruction of sparse multiband wavelet signals from Fourier measurements

    Publication Year: 2015, Page(s):78 - 81
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (350 KB) | HTML iconHTML

    In this paper, we consider the problem of reconstructing sparse multiband wavelet signals of finite levels from their samples in Fourier domain. We show that those sparse signals are determined by their Fourier measurements on a set of size proportional to their sparsity. View full abstract»

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  • Sampling solutions of Schro¨dinger equations on combinatorial graphs

    Publication Year: 2015, Page(s):82 - 85
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (180 KB) | HTML iconHTML

    We consider functions on a graph G whose evolution in time - ∞ <; t <; ∞ is governed by a Schrödinger type equation with a combinatorial Laplace operator on the right side. For a given subset S of vertices of G we compute a cut-off frequency ω > 0 such that solutions to a Cauchy problem with initial data in PWω (G) are completely determined b... View full abstract»

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  • A class of frames for Paley-Wiener spaces with multiple lattice tiles support

    Publication Year: 2015, Page(s):86 - 90
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (185 KB) | HTML iconHTML

    Let Ω ⊂ RN be a bounded measurable set and let Λ ⊂ RN be a lattice. Assume that Ω tiles RN multiply at level K when translated by Λ. Then this paper derives conditions on sets of sampling functions such that they form a frame for the Paley-Wiener space PWΩ of functions bandlimited to Ω. Moreover, th... View full abstract»

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  • On minimal scalings of scalable frames

    Publication Year: 2015, Page(s):91 - 95
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (278 KB) | HTML iconHTML

    A tight frame in Rn is a redundant system which has a reconstruction formula similar to that of an orthonormal basis. For a unit-norm frame F = {fi}ki=1, a scaling is a vector c = (c(l),..., c(k)) ε Rk≥0 such that {c(i)fi}ki=1 is a tight frame in Rn. If a scaling c exists, we say that F... View full abstract»

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  • A characterization of tight and dual generalized translation invariant frames

    Publication Year: 2015, Page(s):96 - 100
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (338 KB) | HTML iconHTML

    We present results concerning generalized translation invariant (GTI) systems on a second countable locally compact abelian group G. These are systems with a family of generators {gj, P}jεJ, pεPJ ⊂ L2(G), where J is a countable index set, and Pj, j ε J are certain measure spaces. Furthermore, for each j we let Γj View full abstract»

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