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- Swärd, JohanLund University,Lunds universitet,Statistical Signal Processing Group,Forskargrupper vid Lunds universitet,Matematisk statistik,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematical Statistics,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH (author)
Designing sampling schemes for multi-dimensional data
- Article/chapterEnglish2018
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- Elsevier BV,2018
- 10 s.
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- LIBRIS-ID:oai:lup.lub.lu.se:007393ac-5bc2-4741-a130-4f4fc954acfe
- https://lup.lub.lu.se/record/007393ac-5bc2-4741-a130-4f4fc954acfeURI
- https://doi.org/10.1016/j.sigpro.2018.03.011DOI
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- Language:English
- Summary in:English
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- In this work, we propose a method for determining a non-uniform sampling scheme for multi-dimensional signals by solving a convex optimization problem reminiscent of the sensor selection problem. The resulting sampling scheme minimizes the sum of the Cramér–Rao lower bounds for the parameters of interest, given a desired number of sampling points. The proposed framework allows for selecting an arbitrary subset of the parameters detailing the model, as well as weighing the importance of the different parameters. Also presented is a scheme for incorporating any imprecise a priori knowledge of the locations of the parameters, as well as defining estimation performance bounds for the parameters of interest. Numerical examples illustrate the efficiency of the proposed scheme.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Signalbehandling hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Signal Processing hsv//eng
- Sampling schemes
- Convex optimization
- Cramér–Rao lower bound
Added entries (persons, corporate bodies, meetings, titles ...)
- Elvander, FilipLund University,Lunds universitet,Statistical Signal Processing Group,Forskargrupper vid Lunds universitet,Matematisk statistik,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematical Statistics,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)mats-fel (author)
- Jakobsson, AndreasLund University,Lunds universitet,Biomedical Modelling and Computation,Forskargrupper vid Lunds universitet,Statistical Signal Processing Group,Matematisk statistik,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Lund University Research Groups,Mathematical Statistics,Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)mats-aaj (author)
- Statistical Signal Processing GroupForskargrupper vid Lunds universitet (creator_code:org_t)
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- In:Signal Processing: Elsevier BV150, s. 1-100165-1684
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