Pith Number

pith:TAQVNZAJ

pith:2026:TAQVNZAJVETKMKHSAPAI2F36Z2

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D-Optimized Sampling Design for System Identification

Enrico Dozzi, Rodrigo A. Gonz\'alez, Tom Oomen

Irregular sampling times optimized for D-optimality improve the accuracy of nonparametric frequency response estimates under nonperiodic multisine excitation.

arxiv:2605.13120 v1 · 2026-05-13 · eess.SY · cs.SY · math.OC

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

The proposed sampling scheme improve the statistical accuracy of system identification in settings where periodic excitation is impractical.

C2weakest assumption

That the nonparametric frequency response estimator remains unbiased and leakage-free when both the input is nonperiodic and the sampling is nonuniform.

C3one line summary

D-optimized irregular sampling improves statistical accuracy of frequency response estimation under nonperiodic multisine excitation and nonuniform sampling.

References

24 extracted · 24 resolved · 0 Pith anchors

[1] str\"om, K.J. and Bernhardsson, B.M. (2002). Comparison of Riemann and Lebesgue sampling for first order stochastic systems. In Proceedings of the 41st IEEE Conference on Decision and Control, 2002, v 2002

[2] Bombois, X., Gevers, M., Hildebrand, R., and Solari, G. (2011). Optimal experiment design for open and closed-loop system identification. Communications in Information and Systems, 11(3), 197--224 2011

[3] Boyd, S. and Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press 2004

[4] Garnier, H., Wang, L., and Young, P.C. (2008). Direct identification of continuous-time models from sampled data: Issues, basic solutions and relevance. In Identification of continuous-time models fro 2008

[5] Gonz \'a lez, R.A., Classens, K., Rojas, C.R., Oomen, T., and Hjalmarsson, H. (2025 a ). Finite sample MIMO system identification with multisine excitation: Nonparametric, direct, and two-step paramet 2025

Formal links

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Receipt and verification

First computed	2026-05-18T03:08:57.991355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

982156e409a926a628f203c08d177ece9d89e4f902c783b043a9eb634ddcbc43

Aliases

arxiv: 2605.13120 · arxiv_version: 2605.13120v1 · doi: 10.48550/arxiv.2605.13120 · pith_short_12: TAQVNZAJVETK · pith_short_16: TAQVNZAJVETKMKHS · pith_short_8: TAQVNZAJ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TAQVNZAJVETKMKHSAPAI2F36Z2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 982156e409a926a628f203c08d177ece9d89e4f902c783b043a9eb634ddcbc43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d4f09e0afd10228d39d6525223097c1c23802571c9abec061a7f797b3a6f4a",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-13T07:47:49Z",
    "title_canon_sha256": "e8e926f1753a966f11ac227677e88172648a0acfdf8d4d7cca06a50b34277006"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13120",
    "kind": "arxiv",
    "version": 1
  }
}