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Article
The Uniqueness of Phase Retrieval of Analytic Signals from Very Few STFT Measurements
Analytic signals constitute a class of signals that are widely applied in time–frequency analysis such as extracting instantaneous frequency (IF) or phase derivative in the characterization of ultrashort laser...
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Article
Phase retrieval from intensity difference of linear canonical transform
The chirp-modulated shift-invariant space (CMSIS) is of interest in the linear canonical transform (LCT) based sampling theory. In this paper, we investigate the phase retrieval (PR) problem for the causal sig...
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Article
Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system
The Sobolev space Hς (ℝd), where ς > d/2, is an important function space that has many applications in various areas of research. Attributed to the inertia of a measurement instrument, it is desirable in sampling...
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Article
Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples
Reconstruction of signals by their Fourier (transform) samples is investigated in many mathematical/engineering problems such as the inverse Radon transform and optical diffraction tomography. This paper conce...
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Article
Frame Phase-Retrievability and Exact Phase-Retrievable Frames
A phase-retrievable frame \(\{f_{i}\}_{i}^{N}\){fi}iN for an n-dimensional Hilbert space is exact if it fails to be phase-retrievable when removing any element from the frame sequence. Unlike exact frames, exact ...
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Article
Impact of cross-breeding of low phytic acid rice (Oryza sativa L.) mutants with commercial cultivars on the phytic acid contents
Phytic acid (PA) is considered as antinutrient in food and feed. Several low phytic acid (lpa) rice (Oryza sativa L.) mutants have been generated through induced mutation. Lpa mutant lines often exhibit inferior ...
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Article
Shannon-type sampling for multivariate non-bandlimited signals
In this paper, starting from a function analytic in a neighborhood of the unit disk and based on Bessel functions, we construct a family of generalized multivariate sinc functions, which are radial and named r...
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Article
Bessel multiwavelet sequences and dual multiframelets in Sobolev spaces
The dual 2I d -framelets in \( (H^{s}(\mathbb{R}^{d}), H^{-s}(\mathbb{R}^{d})) \) ...
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Article
Hermite-Like Interpolating Refinable Function Vector and Its Application in Signal Recovering
Interpolating refinable function vectors with compact support are of interest in applications such as sampling theory, numerical algorithm, and signal processing. Han et al. (J. Comput. Appl. Math. 227:254–270, 2...
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Article
Multiwavelet sampling theorem in Sobolev spaces
This paper is to establish the multiwavelet sampling theorem in Sobolev spaces. Sampling theorem plays a very important role in digital signal communication. The most classical sampling theorem is Shannon samp...
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Article
Construction of multiwavelets with high approximation order and symmetry
In this paper, based on existing symmetric multiwavelets, we give an explicit algorithm for constructing multiwavelets with high approximation order and symmetry. Concretely, suppose Φ(x):= (φ1(x), ..., φr(x)) ...
