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1,759
Innovative Approach to Non-Uniform Sampling
"... Abstract: An innovative approach to non-uniform sampling is proposed in this research paper specifically two engineering methods to sampling are proposed. Using results from statistics literature, an “optimal sampling” scheme is discussed. Information theoretic approach to nonuniform sampling formul ..."
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Abstract: An innovative approach to non-uniform sampling is proposed in this research paper specifically two engineering methods to sampling are proposed. Using results from statistics literature, an “optimal sampling” scheme is discussed. Information theoretic approach to nonuniform sampling
Lomb-Wech Periodogram for Non-uniform Sampling
"... Abstract—The Lomb-Scargle transform has been proposed for the direct evaluation, namely without interpolation, of non-uniformly sampled signals. In its current form, it is suitable only for single transform evaluation due to the implicit normalization. Enhancements of this transform are proposed to ..."
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Cited by 1 (1 self)
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Abstract—The Lomb-Scargle transform has been proposed for the direct evaluation, namely without interpolation, of non-uniformly sampled signals. In its current form, it is suitable only for single transform evaluation due to the implicit normalization. Enhancements of this transform are proposed
Non-Uniform Sampling In Shift-Invariant Spaces
, 2000
"... . This article discusses modern techniques for non-uniform sampling and reconstruction of functions in shift-invariant spaces. The reconstruction of a function or signal or image f from its non-uniform samples f(x j ) is a common task in many applications in data or signal or image processing. The n ..."
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Cited by 11 (5 self)
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. This article discusses modern techniques for non-uniform sampling and reconstruction of functions in shift-invariant spaces. The reconstruction of a function or signal or image f from its non-uniform samples f(x j ) is a common task in many applications in data or signal or image processing
FINITE RATE OF INNOVATION WITH NON-UNIFORM SAMPLES
"... In this paper, we investigate the problem of retrieving the innovation parameters (time and amplitude) of a stream of Diracs from non-uniform samples taken with a novel kernel (a hyperbolic secant). We devise a non-iterative, exact algorithm that allows perfect reconstruction of 2 ..."
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Cited by 1 (1 self)
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In this paper, we investigate the problem of retrieving the innovation parameters (time and amplitude) of a stream of Diracs from non-uniform samples taken with a novel kernel (a hyperbolic secant). We devise a non-iterative, exact algorithm that allows perfect reconstruction of 2
Efficient numerical methods in non-uniform sampling theory
, 1995
"... We present a new “second generation” reconstruction algorithm for irregular sampling, i.e. for the problem of recovering a band-limited function from its non-uniformly sampled values. The efficient new method is a combination of the adaptive weights method which was developed by the two first named ..."
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Cited by 94 (10 self)
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We present a new “second generation” reconstruction algorithm for irregular sampling, i.e. for the problem of recovering a band-limited function from its non-uniformly sampled values. The efficient new method is a combination of the adaptive weights method which was developed by the two first
Real-Time Control of Non-uniformly Sampled Systems
"... Abstract. Industrial application of digital control requires the synergy between well designed control algorithms and carefully implemented control systems. The design of digital controllers should not be constrained to the simplest case of single rate with synchronous sampling strategies, and the d ..."
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Cited by 9 (1 self)
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, and the digital implementation should take into account the actual real time operating environment. In this paper, control design techniques under non-uniform sampling schemes are reviewed and the computer improvements to cancel or reduce the effect of delays and process interactions are presented.
Differential Domain Analysis for Non-uniform Sampling
"... Sampling is a core component for many graphics applications in-cluding rendering, imaging, animation, and geometry processing. The efficacy of these applications often crucially depends upon the distribution quality of the underlying samples. While uniform sam-pling can be analyzed by using existing ..."
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Cited by 9 (1 self)
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existing spatial and spectral meth-ods, these cannot be easily extended to general non-uniform set-tings, such as adaptive, anisotropic, or non-Euclidean domains. We present new methods for analyzing non-uniform sample distri-butions. Our key insight is that standard Fourier analysis, which depends
NON-UNIFORM SAMPLING FOR COMPRESSIVE CYCLIC SPECTRUM RECONSTRUCTION
"... We introduce a new cyclic spectrum estimation method for wide-sense cyclostationary (WSCS) signals sampled at sub-Nyquist rate using non-uniform sampling. We exploit the block Toeplitz structure of the WSCS signal correlation matrix and write the linear relation-ship between this matrix and the corr ..."
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We introduce a new cyclic spectrum estimation method for wide-sense cyclostationary (WSCS) signals sampled at sub-Nyquist rate using non-uniform sampling. We exploit the block Toeplitz structure of the WSCS signal correlation matrix and write the linear relation-ship between this matrix
Non-uniform sampling and spiral MRI reconstruction
- in Proc. SPIE{Wavelet Applications in Signal and Image Processing VIII
"... ABSTRACT There is a natural formulation of the Classical Uniform Sampling Theorem in the setting of Euclidean space, and in the context of lattices, as sampling sets, and unit cells E, e.g., the Voronoi cell. For sampling at the Nyquist rate, the sampling function corresponds to the sinc function, ..."
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Cited by 21 (2 self)
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, and it is an integral over E. The set E is a tile for Euclidean space under translation by elements of the reciprocal lattice. We have a constructive, implementable non-uniform sampling theorem in the context of uniformly discrete sampling sets and sets E, corresponding to the unit cells of the uniform sampling result
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