55 citations · 79 across the 27 of their papers we have counts for
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Convergence Analysis of the Gaussian Regularized Shannon Sampling Formula
Rongrong Lin, Haizhang Zhang
We consider the reconstruction of a bandlimited function from its finite localized sample data. Truncating the classical Shannon sampling series results in an unsatisfactory conver…
Exponential Approximation of Multivariate Bandlimited Functions from Average Oversampling
Wenjian Chen, Haizhang Zhang
Instead of sampling a function at a single point, average sampling takes the weighted sum of function values around the point. Such a sampling strategy is more practical and more s…
Exponential Approximation of Bandlimited Functions from Average Oversampling
Haizhang Zhang
Weighted average sampling is more practical and numerically more stable than sampling at single points as in the classical Shannon sampling framework. Using the frame theory, one c…
Multidimensional Analytic Signals and the Bedrosian Identity
Haizhang Zhang
The analytic signal method via the Hilbert transform is a key tool in signal analysis and processing, especially in the time-frquency analysis. Imaging and other applications to mu…
Optimal Sampling Points in Reproducing Kernel Hilbert Spaces
Rui Wang, Haizhang Zhang
The recent developments of basis pursuit and compressed sensing seek to extract information from as few samples as possible. In such applications, since the number of samples is re…