Optimal representation of non-stationary random fields with finite numbers of samples : A linear MMSE framework
Ozaktas, H. M.
Digital Signal Processing: A Review Journal
1602 - 1609
MetadataShow full item record
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/20833
In this article we consider the representation of a finite-energy non-stationary random field with a finite number of samples. We pose the problem as an optimal sampling problem where we seek the optimal sampling interval under the mean-square error criterion, for a given number of samples. We investigate the optimum sampling rates and the resulting trade-offs between the number of samples and the representation error. In our numerical experiments, we consider a parametric non-stationary field model, the Gaussian-Schell model, and present sampling schemes for varying noise levels and for sources with varying numbers of degrees of freedom. We discuss the dependence of the optimum sampling interval on the problem parameters. We also study the sensitivity of the error to the chosen sampling interval.
Showing items related by title, author, creator and subject.
Sayin I.; Arikan F.; Arikan, O. (2007)Spatiotemporal variations in the ionosphere affects the HF and satellite communications and navigation systems. Total Electron Content (TEC) is an important parameter since it can be used to analyze the spatial and temporal ...
Korkmaz, S. (2005)In this paper, we present an algebraic description of the aliasing phenomena evident in the linear sampling process of multidimensional periodic band limited signals. Opposed to the classical Shannon sampling, periodic ...
Synthetic TEC mapping with kriging and random field priors [Kriging ve rassal alan öncülü ile sentetik toplam elektron i̇çeriǧi aradeǧerlemesi] Sayin I.; Arikan F.; Arikan, O. (2007)Total Electron Content (TEC) can be used for analyzing the variability of the ionosphere in space and time. In this study, spatial interpolation is implemented by Kriging and Random Field Priors (RFP), which are widely ...