Browsing by Subject "Banach spaces"
Now showing items 19 of 9

Conference Object
A general framework for continuous time power control in time varying long term fading wireless networks
(2007)In this paper, a general framework for continuous time power control algorithm under time varying long term fading wireless channels is developed. This contrasts most of the power control algorithms introduced in the ...

Article
Information theoretic bounds for compound MIMO Gaussian channels
(2009)In this paper, achievable rates for compound Gaussian multipleinputmultipleoutput (MIMO) channels are derived. Two types of channels, modeled in the frequency domain, are considered when: 1) the channel frequency response ...

Article
Inversion of noisy Radon transform by SVD based needlets
(2010)A linear method for inverting noisy observations of the Radon transform is developed based on decomposition systems (needlets) with rapidly decaying elements induced by the Radon transform SVD basis. Upper bounds of the ...

Article
Multichannel deconvolution with long range dependence: Upper bounds on the Lprisk (1 ≤ p < ∞)
(2015)We consider multichannel deconvolution in a periodic setting with longmemory errors under three different scenarios for the convolution operators, i.e., supersmooth, regularsmooth and boxcar convolutions. We investigate ...

Article
Nonlinear estimation for a class of systems
(2009)This paper considers nonlinear estimation problems for classes of models, and employs relative entropy to describe the uncertainty classes. Two optimization problems are formulated on general Banach spaces, and their ...

Article
Nonparametric regression estimation based on spatially inhomogeneous data: Minimax global convergence rates and adaptivity
(2014)We consider the nonparametric regression estimation problem of recovering an unknown response function f on the basis of spatially inhomogeneous data when the design points follow a known density g with a finite number of ...

Conference Object
On optimal performance for linear timevarying systems
(2004)In this paper we consider the optimal disturbance attenuation problem and robustness for linear timevarying (LTV) systems. This problem corresponds to the standard optimal H ∞ problem for LTI systems. The problem is ...

Conference Object
Robust capacity for additive colored Gaussian uncertain channels
(2005)This paper is concerned with the definition and computation of channel capacity of continuous time additive Gaussian channels, when the channel is subject to uncertainty, the noise power spectral density is known and the ...

Article
Wavelet methods for continuoustime prediction using Hilbertvalued autoregressive processes
(2003)We consider the prediction problem of a continuoustime stochastic process on an entire timeinterval in terms of its recent past. The approach we adopt is based on the notion of autoregressive Hilbert processes that ...