Higher-Order Singular Value Tensor Decomposition-Based Tuning Frequency Estimation for FID Signals Under Low SNR
Bibliographic record
Abstract
The frequency of the free induction decay (FID) signal induced from an Overhauser magnetometer sensor is proportional to the magnetic field to be measured. Due to the low initial signal-to-noise ratio (SNR), sensor tuning is necessary to suppress the noise and improve the frequency estimation accuracy. To improve the tuning performance in complex strong-disturbance environments, this study introduces a novel method using higher-order singular value tensor decomposition (HOSVTD) and Fourier synchrosqueezing transform (FSST), namely HOSVTD-FSST. First, multiple FID signals are obtained using an equal delay multichannel acquisition strategy to establish a deeper, more intrinsic correlation attribute. Second, matrix segmentation is applied to construct the signals into a higher-order tensor for singular value computation, and the CANDECOMP/PARAFAC (CP) decomposition is fused to obtain a low-noise FID. Third, the FSST is employed to analyze the low-noise signal to extract the time-frequency ridges to capture the tuning frequency. Finally, the HOSVTD-FSST is compared with numerous commonly used methods. The experimental results demonstrate that under the presence of spike noise and with the SNR less than −20 dB, the frequency tuning deviations of the commonly used methods are up to 100 Hz, while that of the HOSVTD-FSST is within 5 Hz, which verifies that the HOSVTD-FSST can significantly enhance the sensor tuning accuracy in complex strong-disturbance conditions.
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How this classification was reachedexpand
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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".