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Record W1544343837 · doi:10.1109/mwscas.1990.140657

Mixed multidimensional filters

2002· article· en· W1544343837 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
TopicDigital Filter Design and Implementation
Canadian institutionsUniversity of Calgary
Fundersnot available
KeywordsDiscrete cosine transformDiscrete Hartley transformInfinite impulse responseDiscrete Fourier transform (general)MathematicsCurse of dimensionalityAlgorithmApplied mathematicsDiscrete sine transformComputer scienceDigital filterFilter (signal processing)Discrete mathematicsFractional Fourier transformFourier transformMathematical analysisImage (mathematics)Artificial intelligenceFourier analysisComputer visionStatistics

Abstract

fetched live from OpenAlex

It is shown that the basic idea to combine discrete transforms and linear difference equation filtering in the MD (multidimensional) case may be extended beyond the DFT (discrete Fourier transform) to include other types of transforms, such as the DCT (discrete cosine transform) and DHT (discrete Hartley transform). Applications of such MixeD filters have been successfully pursued for the case of 3D spatially planar signals using cone transfer functions. The computational efficiency of these MixeD filters has been confirmed elsewhere for the DFT and can be shown to carry over, by similar reasoning, to the DHT and DCT. It is noted that MixeD filter LDEs (linear difference equations) are of lower dimensionality (M-P) than for the MD LDE case, thereby simplifying design approximation (and associated stability considerations in the case of IIR (infinite impulse response) LDEs).< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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: Methods · Consensus signal: none
Teacher disagreement score0.808
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 communication0.0000.001
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 head0.077
GPT teacher head0.245
Teacher spread0.167 · 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

Citations4
Published2002
Admission routes1
Has abstractyes

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