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NOTES

Cross-Validation Workflow — Multi-Method Consensus

No single method's modal results are fully trustworthy. Always cross-validate with complementary methods and vote for consensus.

Global Parameter Reference

Method Parameter Default Effect ESP32 time (5ch×3000)
PP seg_len min(n/3,512) pwr2 Resolution vs segments < 10 ms
overlap 50% PSD variance
SNR threshold 4× noise_floor Peak sensitivity
peak min dist 5 bins Deduplication
FDD seg_len 1024 Frequency resolution ~50 ms
pow-iter tol 1e-6 SVD accuracy
EFDD IFFT bandwidth ±3 bins Damping quality ~2 s/mode
min δ 0.001 Minimum detectable damping
ITD sn (AR order) 4 Candidates per pair 2-5 s
n_lags 100 Cross-corr length
cluster tol 10% Voting strictness
ERA p (block rows) 15 Hankel time span 1-3 s
q (block cols) 10 Hankel columns
SVD threshold 0.5%·S₀ Order selection
SSI block_rows 12 Toeplitz size 3-8 s
order range 2,4,...,16 Voting orders
cluster tol 10% Voting strictness
## Recommended Workflow

Step 1: PP Quick Scan (10s data)

Goal: get a quick overview of frequency content.

PP → list all prominent frequency peaks

Note: PP may miss weak modes or merge close ones. Reference only.

Step 2: FDD Confirm + Shapes (30s data)

Goal: confirm frequencies, get reliable mode shapes.

FDD → cleaner SV1 spectrum, SVD-derived shapes
More noise-robust than PP

Step 3: ERA Precision (60s data)

Goal: most accurate freq/damping/shapes.

ERA → highest overall accuracy
NExT + Hankel SVD + balanced realization

Step 4: Cross-Validate

Goal: independent verification of ERA results.

ITD → catches weak modes ERA might miss (short data)
SSI-PW → damping verification (sufficient data)

Step 5: Consensus Voting

Condition Judgment
All methods agree Trusted mode
Majority agree, one missed Majority wins
Only one method detects Flag: needs verification

Data Length vs Accuracy

Length Available Accuracy
10s (500 pts) PP, ITD, FDD Freq ±5%, no damping
30s (1500 pts) + ERA Freq ±2%, damping ±30%
60s (3000 pts) + EFDD Freq ±1%, damping ±10%
120s (6000 pts) + SSI Freq ±0.5%, damping ±5%