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IEEE standard 1057,...
IEEE standard 1057, Cramer-Rao bound and the parsimony principle
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- Andersson, Tomas (författare)
- KTH,Signalbehandling
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- Händel, Peter, 1962- (författare)
- KTH,Signalbehandling,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Institute of Electrical and Electronics Engineers (IEEE), 2006
- 2006
- Engelska.
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Ingår i: IEEE Transactions on Instrumentation and Measurement. - : Institute of Electrical and Electronics Engineers (IEEE). - 0018-9456 .- 1557-9662. ; 55:1, s. 44-53
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- This paper deals with some fundamental properties of the sine-wave-fit algorithm included in IEEE Standards 1057 and 1241. Asymptotic Cramer-Rao bounds (CRBs) for three and four model parameters are derived under the Gaussian assumption. Further, the sine-wave-fitting properties of the algorithm are analyzed by the parsimony principle. A decision criterion whether to use the three- or four-parameter model is derived. It is shown that a three-parameter sine-wave fit produces a better fit than the four-parameter fit if the frequency is known to be within an interval related to the number of samples and the signal-to-noise ratio. By a numerical analysis, the theoretical results are shown to be also valid for the uniform noise model of quantization.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Nyckelord
- IEEE Standards 1057 and 1251
- model-order selection
- sine-wave fit
- waveform fit
- algorithm
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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