{"artifact_id":"L1-394","layer":"L1","title":"Spectral Estimation (line spectrum / parametric PSD)","domain":"Signal Processing","sub_domain":"Frequency estimation from finite-length time series","physics_fingerprint":{"L_DAG":2.3,"title":"Spectral Estimation (line spectrum / parametric PSD)","domain":"Signal Processing","carrier":"electromagnetic","primitives":["L.synthesis.harmonic","int.temporal"],"sub_domain":"Frequency estimation from finite-length time series","noise_model":"complex_gaussian","problem_class":"parametric_spectral_estimation","solution_space":"frequency_parameters","difficulty_delta":3,"integration_axis":"temporal","sensing_mechanism":"harmonic_observation"},"observable_profile":{"metric":"frequency_RMSE_cyc","regime":"Fourier-limited resolution 2pi/N; subspace methods (MUSIC, ESPRIT) achieve super-resolution given SNR; atomic-norm minimization (Tang-Bhaskar-Shah-Recht) guarantees exact recovery when delta_omega > 4pi/N.","secondary":"amplitude_RMSE"},"size_tiers":{"center_spec":{"omega":{"K":3,"N":256,"SNR_dB":20,"sampling":"uniform","delta_omega":0.05},"input_format":"time_series","problem_class":"line_spectrum_estimation","forward_operator":"uniform_sampling_complex_exp","epsilon_fn_center":"1e-3 cyc"},"omega_bounds":{"K":[1,64],"N":[32,16384],"SNR_dB":[-10,40],"delta_omega":[0.001,0.5],"windowing_error":[0.0,0.5],"K_overestimation":[0,30],"sampling_irregularity":[0.0,0.5]},"epsilon_bounds":{"rmse_cyc":[1e-06,0.5]},"allowed_problem_classes":["line_spectrum_estimation","ar_ma_estimation","atomic_norm_dereverberation"],"allowed_omega_dimensions":["N","K","SNR_dB","delta_omega","sampling","windowing_error","K_overestimation"],"allowed_forward_operators":["uniform_sampling_complex_exp","nonuniform_sampling","windowed_observation"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":500,"metric":"frequency_RMSE_cyc"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x8b7b9b8bb8e50340050b1b6979796ad5c35f3aa0b15fafd5955c2a74536ec656","chain_tx_hash":"0x40c36b2c90f20beb2ccd799e355c82e9382e6a85e40abd8d246905c9e4574667","chain_block":41555199}