[PDF] Top 20 On uncertainty principle of the local polynomial Fourier transform

... the uncertainty principle of the STFT [17], this article firstly reports the mathematical derivations of the uncertainty principles of the second, third, fourth order and thereafter Mth order ...the ... See full document

... the uncertainty prin- ciples of the LPFT are demonstrated to show that as a windowed transform, the LPFT is limited by the uncer- tainty principles, including the global uncertainty prin- ciple, the ... See full document

... its Fourier transform cannot both be highly ...The uncertainty principle is widely known for its ”philosophical” applications: in quan- tum mechanics, of course, it shows that a particle’s ... See full document

... the uncertainty principle in local fractional Fourier analysis is sug- ...the local fractional calculus can be applied to deal with the non-differentiable functions defined on any ... See full document

... The uncertainty principles in harmonic analysis state that a nonzero function f and its Fourier trans- form f b cannot be at the same time simultaneously and sharply localized, that is, it’s impossible for ... See full document

... Heisenberg uncertainty relations) localisation in the phase ...of local type can be repres- ented as a compact operator and a continuous field of local ...degeneracy. Local representatives ... See full document

... q-Heisenberg uncertainty principles studied by Bettaibi et al. 2007, to state local uncertainty principles for the q-Fourier-cosine, the q-Fourier-sine, and the q-Bessel-Fourier ... See full document

... generalized uncertainty principles of fractional Fourier transform (FRFT) for concentrated data in limited ...These uncertainty principles disclose that the data in FRFT domains may have much ... See full document

... localized Fourier transform is ...the Fourier transform is ...Heisenberg Uncertainty principle the precise knowledge of frequency present at the particular instant cannot be ... See full document

... The circumstance that convolutions and, correspondingly, multiplications among distributions cannot arbitrarily be applied, is sometimes considered a major disadvantage of Laurent Schwartz’ distribution theory [47,48]. ... See full document

... Uncertainty principle not only holds in analog signals, but also in discrete signals ...fractional Fourier transform (FRFT), ana- log generalized uncertainty relations associated with ... See full document

... The inverse synthetic aperture radar (ISAR) has attracted wide interest within scientific and military community. Some ISAR applications are already well known and studied. How- ever, many important issues remain to be ... See full document

... In signal processing, data concentration is often consid- ered carefully via the uncertainty principle [1-8]. In con- tinuous signals, the supports are assumed to be   , , based on which various ... See full document

... are: Fourier Transform, Discrete Fourier Transform (DFT), and Fast Fourier Transform ...the uncertainty principle , which is fundamental to understand the theory ... See full document

... similar principle can also be used in three dimensional foot shape measurements [9], chest wall monitoring during breathing [10], head-to-trunk orientation determination [11] and the study of tissue ablation ... See full document

... Wavelet Transform has become a powerful tool in a wide range of ...wavelet transform produces non- redundant information due to orthonormal ...Wavelet Transform (DWT) uses multi – resolution filter ... See full document

... Many researchers have worked on a multisensor image fusion techniques.To perform a pyramid decomposition on the input images and reconstructing the fused image by performing inverse pyramid transform is described ... See full document

... Integral transform essentially involves the replacement of the function under the study by other functions called transform, which are obtained from the original functions by certain ...integral ... See full document

... The same PEs performing the same butterfly operation six times. The PE has two operand inputs and one outputs and can interact with the inputs and outputs of the neighboring PEs in local and global fashion.. A ... See full document

... Abstract: This paper presents the convolution for the offset linear canonical transform (OLCT) with the Gaussian weight and its applications. The product theorem is also studied. In applications, some ways to ... See full document