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Nyquist–Shannon sampling theorem

Known as: Nyquist Shannon theorem, Nyquist's theorem, Sampling theorem 
In the field of digital signal processing, the sampling theorem is a fundamental bridge between continuous-time signals (often called "analog signals… 
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Related topics

Related topics

49 relations
AliasingAnti-aliasingAnti-aliasing filterAthanasios Papoulis

Broader (2)

Digital signal processingInformation theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Derivation of Euler's Formula and ζ(2 k ) Using the Nyquist-Shannon Sampling Theorem
There are multiply approaches to prove Euler's well-known formula, however, none of them is trivial or simple. In this paper we… 
2016
2016
Sub-Nyquist Sampling Jamming Against ISAR With CS-Based HRRP Reconstruction
As recently demonstrated, compressive sensing (CS) is potential in exact recovery of an unknown sparse signal from very limited… 
Highly Cited
2011
Highly Cited
2011
Real-time preprocessing for dense 3-D range imaging on the GPU: Defect interpolation, bilateral temporal averaging and guided filtering
Recent advances in range imaging (RI) have enabled dense 3-D scene acquisition in real-time. However, due to physical limitations… 
Highly Cited
2010
Highly Cited
2010
A Two-Step Compressed Spectrum Sensing Scheme for Wideband Cognitive Radios
For cognitive radios (CRs), compressive sampling (CS) techniques have been utilized for spectrum sensing in order to alleviate… 
Highly Cited
2005
Highly Cited
2005
A new two-stage sharpened comb decimator
This paper presents a new sharpened comb decimator structure consisting of a cascade of a comb-filter based decimator and a… 
Highly Cited
2003
Highly Cited
2003
Analysis and numerical experiments on the numerical dispersion of two-dimensional ADI-FDTD
The numerical dispersion relations in the literature are inconsistent for the alternate-direction-implicit finite-difference time… 
Highly Cited
1999
Highly Cited
1999
The origins of the sampling theorem
The publications of Claude E. Shannon brought the sampling theorem to the broad attention of communication engineers. This… 
Highly Cited
1995
Highly Cited
1995
Theory and applications of the shift-invariant, time-varying and undecimated wavelet transforms
In this thesis, we generalize the classical discrete wavelet transform, and construct wavelet transforms that are shift-invariant… 
Highly Cited
1992
Highly Cited
1992
Shiftable Multi-scale TransformsEero
Orthogonal wavelet transforms have recently become a popular representation for multi-scale signal and image analysis. One of the… 
Highly Cited
1980
Highly Cited
1980
Sampling Theorem For The Complex Spectrogram, And Gabor's Expansion Of A Signal In Gaussian Elementary Signals
The complex spectrogram of a signal φ(t) is defined by ∫φ(t)g*(t-to)exp[-iwot]dt ; it is, in fact, the Fourier transform of the… 
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