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Statistics of the b...
Statistics of the binary quantizer error in sigma-delta modulation with I.I.D. Gaussian input
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- Koski, Timo (författare)
- Luleå tekniska universitet
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(creator_code:org_t)
- Piscataway, NJ : IEEE Communications Society, 1993
- 1993
- Engelska.
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Ingår i: IProceedings. - Piscataway, NJ : IEEE Communications Society. - 0780308786 ; , s. 436-
- 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
- existence and uniqueness of an invariant probability measure, ergodicity properties as well as the existence of moments w.r.t. the invariant probability are proved using Markov process theory. Considering ē as n random perturbation of the orbits of sn+1 = λ(sn) the structure of the power spectrum of the quantizer error is studied approximately for small values of the white noise variance using the deterministic signal sn under a uniform invariant distribution.
- Representations and statistical properties of the process ē defined by ēn+1 = λ(ēn + ξn), where λ(u) := u - b sign(u) + m are given, when ξn is a Gaussian white noise. The process ē represents the binary quantizer error in a model for (single loop) Sigma Delta modulation, see [3,6]. The existence and uniqueness of an invariant probability measure, ergodicity properties as well as the existence of moments w.r.t. the invariant probability are proved using Markov process theory. Considering ē as n random perturbation of the orbits of sn+1 = λ(sn) the structure of the power spectrum of the quantizer error is studied approximately for small values of the white noise variance using the deterministic signal sn under a uniform invariant distribution.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Mathematics
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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