Sampling and approximation of bandlimited volumetric data
نویسندگان
چکیده
منابع مشابه
Approximation of Bandlimited Functions
Many signals encountered in science and engineering are approximated well by bandlimited functions. We provide suitable error bounds for the approximation of bandlimited functions by linear combinations of certain special functions — the Prolate Spheroidal Wave Functions of order 0. The coefficients in the approximating linear combinations are given explicitly via appropriate quadrature formulae.
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Recent sampling theorems allow for the recovery of operators with bandlimited Kohn-Nirenberg symbols from their response to a single discretely supported identifier signal. The available results are inherently non-local. For example, we show that in order to recover a bandlimited operator precisely, the identifier cannot decay in time nor in frequency. Moreover, a concept of local and discrete ...
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Digital applications have developed rapidly over the last few decades. Since many sources of information are of analog or continuous-time nature, discrete-time signal processing (DSP) inherently relies on sampling a continuous-time signal to obtain a discrete-time representation. Consequently, sampling theories lie at the heart of signal processing applications and communication systems. A few ...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2019
ISSN: 1063-5203
DOI: 10.1016/j.acha.2018.11.003