Record Details

On Bandlimited Signal Reconstruction From the Distribution of Unknown Sampling Locations

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title On Bandlimited Signal Reconstruction From the Distribution of Unknown Sampling Locations
 
Creator KUMAR, A
 
Subject Additive white noise
nonuniform sampling
signal reconstruction
signal sampling
wireless sensor networks
 
Description In remote sensing with a large array of spatially distributed sensors, localization of individual sensor nodes could be difficult. Motivated by the smart-dust paradigm, this work addresses the reconstruction of spatially bandlimited fields from samples taken at unknown but statistically distributed sampling locations. Periodic one-dimensional bandlimited fields are considered for sampling. Samples of the field at uniform independent and identically distributed locations are obtained. The statistical realization of the sampling locations is not known. First, it is shown that a bandlimited field cannot be uniquely determined with samples taken at uniformly distributed but unknown locations, even if the number of samples is infinite. Next, it is assumed that the order of sample locations is known. With order information on sample locations, consistent bandlimited field estimates are designed and analyzed for mean-squared error. The proposed estimates are analyzed for mean-squared error for two cases-when the field measurements are noiseless and when the field measurements are affected by additive independent noise process with finite variance. Finally, a central-limit is established for the field estimate in the case where field measurements are noiseless.
 
Publisher IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
 
Date 2016-01-15T09:35:39Z
2016-01-15T09:35:39Z
2015
 
Type Article
 
Identifier IEEE TRANSACTIONS ON SIGNAL PROCESSING, 63(5)1259-1267
1053-587X
1941-0476
http://dx.doi.org/10.1109/TSP.2015.2394248
http://dspace.library.iitb.ac.in/jspui/handle/100/18266
 
Language en