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cs.IT2013
Optimality of Operator-Like Wavelets for Representing Sparse AR(1) Processes
Pedram Pad, Michael Unser
It is known that the Karhunen-Loève transform (KLT) of Gaussian first-order auto-regressive (AR(1)) processes results in sinusoidal basis functions. The same sinusoidal bases come…
math.CA2013★ 17 cited
Harmonic Singular Integrals and Steerable Wavelets in
John Paul Ward, Michael Unser
Here we present a method of constructing steerable wavelet frames in that generalizes and unifies previous approaches, including Simoncelli's pyramid and Riesz…
math.CA2013★ 9 cited
Decay properties of Riesz transforms and steerable wavelets
John Paul Ward, Kunal Narayan Chaudhury, Michael Unser
The Riesz transform is a natural multi-dimensional extension of the Hilbert transform, and it has been the object of study for many years due to its nice mathematical properties. M…