An Approach for Computing the Radix-2/4 DIT FHT and FFT Algorithms Using a Unified Structure
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.
Bibliographic record
Abstract
By using an appropriate index mapping and by introducing a unified approach for the development of the radix-2/4 decimation-in-time (DIT) fast Hartley transform (FHT) and complex-valued fast Fourier transform (FFT) algorithms, it is shown that there is a close relationship between the structures of the two algorithms. As a result of this close relationship, it is shown that only a single general butterfly is sufficient to implement the two algorithms. This type of relationship is of significant importance for software and hardware implementations of the algorithms, since this relationship, along with the fact that the DHT (discrete Hartley transform) is an efficient alternative to the DFT (discrete Fourier transform) for real data, makes it possible for a single software or hardware module to be used for the computation of the DHT as well as for the computation of the forward and inverse DFTs for real- or complex-valued data.
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 imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it