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A unified formulation of Gaussian vs. sparse stochastic processes - Part II: Discrete-domain theory
Michael Unser, Pouya D. Tafti, Arash Amini +1
This paper is devoted to the characterization of an extended family of CARMA (continuous-time autoregressive moving average) processes that are solutions of stochastic differential…
A unified formulation of Gaussian vs. sparse stochastic processes - Part I: Continuous-domain theory
Michael Unser, Pouya D. Tafti, Qiyu Sun
We introduce a general distributional framework that results in a unifying description and characterization of a rich variety of continuous-time stochastic processes. The cornersto…
On the Hilbert transform of wavelets
Kunal Narayan Chaudhury, Michael Unser
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspondence, we provide precise arguments as to why the Hilbert transform of a wavelet…
Fast O(1) bilateral filtering using trigonometric range kernels
Kunal Narayan Chaudhury, Daniel Sage, Michael Unser
It is well-known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not depend on the size or shape of the filter. These f…