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Record W4237847843 · doi:10.1109/ccece.2001.933674

Multirate signal estimation

2002· article· en· W4237847843 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

Venuenot available
Typearticle
Languageen
FieldEngineering
TopicControl Systems and Identification
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsEstimatorObservableMathematicsAlgorithmSpectral densityPrinciple of maximum entropyEntropy (arrow of time)Sampling (signal processing)StatisticsApplied mathematicsComputer scienceFilter (signal processing)Physics

Abstract

fetched live from OpenAlex

This article introduces a technique for estimating samples of a random signal based on observations made by several observers and at different sampling rates. We consider a discrete-time mathematical model where an observer sees the original random signal x(n) through a bank of sensors which we model by linear filters and downsamplers. Each sensor, therefore, outputs a measurement signal v/sub i/(n) whose sampling rate is only a fraction of the sampling rate assumed for the original signal under observation. It is straightforward to show that the optimal least-mean-squares estimator for our problem is a linear operator F operating on v/sub i/(n)s. We observe, however, that to find F we need to know the power spectral density P/sub x/(e/sup jw/) of x(n) which is itself not observable. This motivates us to consider the possibility of estimating P/sub x/(e/sup jw/) using the observable low-rate data. We show that the statistical inference problem which addresses estimation of P/sub x/(e/sup jw/) given certain statistics of v/sub i/(n) is mathematically ill-posed. We resolve this ill-posed inference problem using the principle of maximum entropy. We show, moreover, that the proposed maximum entropy inference technique is a continuous mapping. Therefore, one might safely use it to estimate P/sub x/(e/sup jw/) based on approximate statistics of v/sub i/(n) obtained from the samples.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.799
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.012
GPT teacher head0.172
Teacher spread0.161 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Quick stats

Citations7
Published2002
Admission routes1
Has abstractyes

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