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Bias Analysis in Le...
Bias Analysis in Least Squares Estimation of Periodic Signals Using Nonlinear ODE's
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Abd-Elrady, Emad (författare)
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- Söderström, Torsten (författare)
- Uppsala universitet,Institutionen för informationsteknologi
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(creator_code:org_t)
- Department of Information Technology, Uppsala University, 2004
- Engelska.
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Serie: Technical report / Department of Information Technology, Uppsala University, 1404-3203 ; 2004-035
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Abstract
Ämnesord
Stäng
- Periodic signals can be modeled by means of second-order nonlinear ordinary differential equations (ODE's). The right hand side function of the ODE is parameterized in terms of known basis functions. The least squares algorithm developed for estimating the coefficients of these basis functions gives biased estimates, especially at low signal to noise ratios. This is due to noise contributions to the periodic signal and its derivatives evaluated using finite difference approximations. In this paper an analysis for this bias is given.
Ämnesord
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Publikations- och innehållstyp
- vet (ämneskategori)
- rap (ämneskategori)