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Activity Number: 692
Type: Contributed
Date/Time: Thursday, August 13, 2015 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract #317291
Title: Higher Dimensional Multichannel Wavelet Deconvolution with Fractional Gaussian Fields
Author(s): Justin Wishart*
Companies:
Keywords: Wavelet analysis ; Fourier analysis ; Deconvolution ; Higher dimensional ; Nonparametric regression ; Multichannel
Abstract:

The multichannel deconvolution of higher dimensional signals (d >= 2) is studied when additive noise is present with a fractional Brownian sheet. Deconvolution and estimation is achieved by considering the general Lemarie-Meyer wavelets. Denoising is aided by constructing an appropriate wavelet expansion of the d-dimensional fractional Brownian sheet. Performance is analysed by providing bounds on the generalised L_p risk in various convolution operators such as the regular-smooth and box-car types.

Authors who are presenting talks have a * after their name.

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