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Record W1913445249 · doi:10.1109/pacrim.2001.953545

Multirate spectral estimation

2002· article· en· W1913445249 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
FieldComputer Science
TopicDistributed Sensor Networks and Detection Algorithms
Canadian institutionsUniversity of Toronto
Fundersnot available
KeywordsSpectral densityDiscrete-time signalSampling (signal processing)Maximum entropy spectral estimationObservableSIGNAL (programming language)MathematicsSpectral density estimationObserver (physics)Entropy (arrow of time)Computer scienceApplied mathematicsPrinciple of maximum entropyAlgorithmStatisticsMathematical analysisAnalog signalSignal transfer functionPhysicsDigital signal processingTelecommunications

Abstract

fetched live from OpenAlex

This article introduces a mathematical theory for estimating the power spectral density (PSD) of a random signal based on low-sampling-rate measurements. We formulate the problem using a mathematical model where an observer sees a discrete-time WSS (wide-sense stationary) random signal x(n) through a bank of measurement devices or sensors. Each sensor outputs a measurement signal v/sub i/(n) whose sampling rate is only a fraction of the sampling rate assumed for the original non-observable signal. Knowing statistics of v/sub i/(n) is not, in general, sufficient to specify the PSD of x(n) uniquely. Therefore, the problem of multirate spectral estimation is mathematically ill-posed. We show that it is possible to convert the multirate spectral estimation problem into a mathematically well-posed one using the maximum entropy principle. Moreover, we obtain a closed-form expression for the PSD estimate that results from applying this principle and show that it is unique.

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 categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Simulation or modeling · Consensus signal: none
GenreCandidate signal: Methods · Consensus signal: none
Teacher disagreement score0.979
Threshold uncertainty score0.910

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)0.0000.001

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 head0.017
GPT teacher head0.210
Teacher spread0.193 · 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