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Nonuniform Sampling for Multidimensional Signals
1987We will discuss the nonuniform samples of periodic signals first and then analyse any type of multidimensional signal. A bandlimited periodic signal is represented by a finite number of Fourier coefficients and hence can be represented by the same number of nonuniform samples per period.
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Nonuniform sampling of nonbandlimited signals
IEEE Signal Processing Letters, 1995We give a nonuniform sampling series for nonbandlimited functions (duration-limited functions of bounded variation), together with error bounds. The bound on the approximation error, remarkably, does not depend on the distribution of the sampling points. >
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Nonuniform sampling of signals and applications
Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002A generalization of the Whittaker-Kotel'nikov-Shannon sampling theorem to nonuniform periodic sampling is given. The novel aspect of our work is that we seek a sampling expansion in terms of time-translates of a single function. Other work on nonuniform periodic sampling has considered sampling expansions in terms of time-translates of more than one ...
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Sampling expansions for multiband signals
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1985The class B I of finite energy signals bandlimited to a set I is considered where I denotes a finite union of disjoint open intervals (bands) on the real frequency axis. If such a signal is sampled uniformly (constant intersample spacing T), it is shown that the following five propositions are equivalent.
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Delay sampling theorem: A criterion for the recovery of multitone signal
Mechanical Systems and Signal Processing, 2023Xuefeng Chen, Zhibo Yang, Jiahui Cao
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Time-Frequency Sparse Reconstruction of Non-Uniform Sampling for Non-Stationary Signal
IEEE Transactions on Vehicular Technology, 2021Xinwei Zhao +2 more
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Sparse Sampling of Signal Innovations
IEEE Signal Processing Magazine, 2008Thierry Blu +2 more
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Random Triggering-Based Sub-Nyquist Sampling System for Sparse Multiband Signal
IEEE Transactions on Instrumentation and Measurement, 2017Jingjing Liu, Yijiu Zhao, Yu Hen Hu
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Nonuniform sampling and non-Fourier signal processing methods in multidimensional NMR
Progress in Nuclear Magnetic Resonance Spectroscopy, 2014Jeffrey C Hoch, Mehdi Mobli
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