Print Email Facebook Twitter On a unified framework for linear nuisance parameters Title On a unified framework for linear nuisance parameters Author Hu, Y. (TU Delft Signal Processing Systems) Leus, G.J.T. (TU Delft Signal Processing Systems) Date 2017 Abstract Estimation problems in the presence of deterministic linear nuisance parameters arise in a variety of fields. To cope with those, three common methods are widely considered: (1) jointly estimating the parameters of interest and the nuisance parameters; (2) projecting out the nuisance parameters; (3) selecting a reference and then taking differences between the reference and the observations, which we will refer to as “differential signal processing.” A lot of literature has been devoted to these methods, yet all follow separate paths. Based on a unified framework, we analytically explore the relations between these three methods, where we particularly focus on the third one and introduce a general differential approach to cope with multiple distinct nuisance parameters. After a proper whitening procedure, the corresponding best linear unbiased estimators (BLUEs) are shown to be all equivalent to each other. Accordingly, we unveil some surprising facts, which are in contrast to what is commonly considered in literature, e.g., the reference choice is actually not important for the differencing process. Since this paper formulates the problem in a general manner, one may specialize our conclusions to any particular application. Some localization examples are also presented in this paper to verify our conclusions. Subject Best linear unbiased estimator (BLUE)Differential signal processingJoint estimationLinear nuisance parametersOrthogonal subspace projection (OSP)Source localization To reference this document use: http://resolver.tudelft.nl/uuid:045ff678-d64b-4e01-aa1b-b07f7e331a8f DOI https://doi.org/10.1186/s13634-016-0438-8 ISSN 1687-6172 Source Eurasip Journal on Advances in Signal Processing, 2017 (1), 1-14 Part of collection Institutional Repository Document type journal article Rights © 2017 Y. Hu, G.J.T. Leus Files PDF 12483556.pdf 1.08 MB Close viewer /islandora/object/uuid:045ff678-d64b-4e01-aa1b-b07f7e331a8f/datastream/OBJ/view