Acoustic Beamforming — DOA & imaging from array L1-265

AcousticsSensor-array DOA estimationδ=3 · standardL_DAG = 3📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

P (t h e t a) = a (t h e t a)^{H} R_{x} x a (t h e t a); R_{x} x = E [x x^{H}] f or mi c - a r r a y s na p s h o t s x

Acoustic Beamforming — DOA & imaging from array forward model.

L-DAG

S.array_capture -> L.steering_vector -> L.power_map -> int.spatial

S.array_captureL.steering_vectorL.power_mapint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 240

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: Delay-and-Sum, MUSIC, ESPRIT, Deep-DOA
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.