{ "schema": "semiagora.rf-sparameter-deembedding-evidence-replay.v1", "version": "2026-08-24-v100", "generated_date": "2026-08-24", "experiment_id": "SA-KNOW-RF-SPARAM-001", "title": "RF S-parameter and de-embedding evidence replay", "execution_mode": "precomputed_browser_csv_replay_only", "summary": "An original deterministic two-port packet that separates intrinsic small-signal behavior, passive fixture embedding, correction-method assumptions, residual error sensitivity, linear stability and passivity screens, fT/fmax proxies, and RF-noise parameter literacy.", "counts": { "rows": 6048, "device_states": 3, "fixture_states": 4, "correction_methods": 4, "uncertainty_states": 3, "reference_impedance_states": 2, "frequency_samples": 21, "taxonomy_nodes_covered": 5, "source_anchors": 12, "real_measurement_rows": 0, "copied_touchstone_files": 0, "proprietary_models_or_pdk_files": 0, "instrument_control_actions": 0, "rf_signoff_actions": 0, "liveServerRuns": 0 }, "axes": { "deviceStates": [ { "id": "capacitance_limited_proxy", "label": "Capacitance-limited small-signal proxy", "gmS": 0.018, "gdsS": 0.0025, "cgsF": 9e-14, "cgdF": 1.8e-14, "cdsF": 1.2e-14, "rgOhm": 8, "rsOhm": 2, "fminLinear": 1.45, "rnOhm": 8, "gammaOptMagnitude": 0.28, "gammaOptPhaseRad": -0.4, "sourceGamma": { "re": 0.08, "im": 0.03 } }, { "id": "balanced_gain_proxy", "label": "Balanced gain-capacitance proxy", "gmS": 0.035, "gdsS": 0.002, "cgsF": 7e-14, "cgdF": 1e-14, "cdsF": 9e-15, "rgOhm": 4, "rsOhm": 1.2, "fminLinear": 1.3, "rnOhm": 6, "gammaOptMagnitude": 0.22, "gammaOptPhaseRad": -0.15, "sourceGamma": { "re": 0.02, "im": -0.04 } }, { "id": "gate_resistance_limited_proxy", "label": "Gate-resistance-limited power-gain proxy", "gmS": 0.055, "gdsS": 0.004, "cgsF": 6.5e-14, "cgdF": 1.2e-14, "cdsF": 1e-14, "rgOhm": 12, "rsOhm": 1.8, "fminLinear": 1.38, "rnOhm": 10, "gammaOptMagnitude": 0.34, "gammaOptPhaseRad": 0.2, "sourceGamma": { "re": -0.06, "im": 0.06 } } ], "fixtureStates": [ { "id": "direct_reference_plane", "label": "Direct reference plane", "left": { "delayPs": 0, "lossDbAt100Ghz": 0, "zcRatio": 1 }, "right": { "delayPs": 0, "lossDbAt100Ghz": 0, "zcRatio": 1 } }, { "id": "symmetric_low_loss_fixture", "label": "Symmetric low-loss fixture", "left": { "delayPs": 4, "lossDbAt100Ghz": 0.35, "zcRatio": 0.95 }, "right": { "delayPs": 4, "lossDbAt100Ghz": 0.35, "zcRatio": 0.95 } }, { "id": "asymmetric_fixture", "label": "Asymmetric loss and delay fixture", "left": { "delayPs": 6, "lossDbAt100Ghz": 0.5, "zcRatio": 0.9 }, "right": { "delayPs": 3, "lossDbAt100Ghz": 0.25, "zcRatio": 1.08 } }, { "id": "mismatched_fixture", "label": "Strong impedance-discontinuity fixture", "left": { "delayPs": 8, "lossDbAt100Ghz": 0.7, "zcRatio": 0.78 }, "right": { "delayPs": 7, "lossDbAt100Ghz": 0.65, "zcRatio": 1.22 } } ], "correctionMethods": [ { "id": "raw_fixture_embedded", "label": "Raw fixture-embedded S-parameters", "methodClass": "no_deembedding", "boundary": "The measurement reference plane remains outside both fixtures." }, { "id": "port_extension_proxy", "label": "Lossless port-extension proxy", "methodClass": "scalar_reference_plane_shift_proxy", "boundary": "Removes declared phase delay only; fixture loss and mismatch remain." }, { "id": "symmetric_2xthru_proxy", "label": "Symmetric split-fixture proxy", "methodClass": "symmetric_2xthru_teaching_proxy", "boundary": "Uses averaged left/right fixture parameters; this is not an IEEE 370 algorithm implementation." }, { "id": "known_fixture_inverse", "label": "Known-fixture error-box inverse", "methodClass": "declared_error_box_inverse", "boundary": "Removes the exact declared analytic fixtures but not undeclared residual error boxes." } ], "uncertaintyStates": [ { "id": "nominal_no_residual", "label": "Nominal analytic chain", "left": { "delayPs": 0, "lossDbAt100Ghz": 0, "zcRatio": 1 }, "right": { "delayPs": 0, "lossDbAt100Ghz": 0, "zcRatio": 1 }, "interpretation": "No residual error box added; this is an exact arithmetic baseline, not a measurement uncertainty claim." }, { "id": "residual_reference_plane_delay", "label": "Residual reference-plane delay sensitivity", "left": { "delayPs": 0.35, "lossDbAt100Ghz": 0.02, "zcRatio": 1 }, "right": { "delayPs": 0.55, "lossDbAt100Ghz": 0.02, "zcRatio": 1 }, "interpretation": "Deterministic sensitivity state for unremoved delay and small loss; no probability or confidence interval is assigned." }, { "id": "residual_loss_mismatch", "label": "Residual loss and mismatch sensitivity", "left": { "delayPs": 0.2, "lossDbAt100Ghz": 0.08, "zcRatio": 1.025 }, "right": { "delayPs": 0.2, "lossDbAt100Ghz": 0.08, "zcRatio": 0.975 }, "interpretation": "Deterministic sensitivity state for local fixture error; it is not a calibrated VNA error model." } ], "referenceImpedanceStates": [ { "id": "real_z0_50", "label": "Real 50 ohm reference", "z0Ohm": 50 }, { "id": "real_z0_75", "label": "Real 75 ohm reference", "z0Ohm": 75 } ], "frequencyPointsGhz": [ 1, 1.2589254117941673, 1.5848931924611136, 1.9952623149688795, 2.51188643150958, 3.1622776601683795, 3.9810717055349722, 5.011872336272722, 6.309573444801933, 7.943282347242816, 10, 12.589254117941675, 15.848931924611133, 19.952623149688797, 25.118864315095795, 31.622776601683793, 39.810717055349734, 50.11872336272722, 63.09573444801933, 79.43282347242814, 100 ] }, "metric_contract": { "schema": "semiagora.rf-sparameter-deembedding-metric-contract.v1", "version": "2026-08-24-v100", "experimentId": "SA-KNOW-RF-SPARAM-001", "networkConvention": { "ports": "equal real reference impedance at both ports", "intrinsicModel": "original common-source small-signal Y matrix with gm, gds, Cgs, Cgd, and Cds", "cascade": "ABCD multiplication using passive positive-delay transmission-line fixture boxes", "referenceImpedancesOhm": [ 50, 75 ] }, "equations": [ { "id": "y-to-s", "expression": "S = (I - Z0*Y) * inverse(I + Z0*Y)", "boundary": "Equal real Z0 and the declared two-port sign convention only." }, { "id": "fixture-line", "expression": "A=D=cosh(gamma*l), B=Zc*sinh(gamma*l), C=sinh(gamma*l)/Zc", "boundary": "Original analytic positive-loss and positive-delay fixture; no EM field solve or measured line standard." }, { "id": "fixture-removal", "expression": "M_corrected = inverse(M_left_est) * M_measured * inverse(M_right_est)", "boundary": "The estimate class is explicit; the split-fixture proxy is not IEEE 370 software." }, { "id": "passivity", "expression": "sigma_max(S_fixture) <= 1", "boundary": "Frequency-point analytic fixture check; no broadband causality certification." }, { "id": "rollet-stability", "expression": "K=(1-|S11|^2-|S22|^2+|Delta|^2)/(2|S12*S21|), Delta=S11*S22-S12*S21", "boundary": "Linear two-port screen only; never RF signoff." }, { "id": "ft-screen", "expression": "fT_proxy = gm/(2*pi*(Cgs+Cgd))", "boundary": "First-order assumed small-signal proxy, not extracted device performance." }, { "id": "fmax-screen", "expression": "fmax_proxy = fT/(2*sqrt(gds*(Rg+Rs)+2*pi*fT*Rg*Cgd))", "boundary": "First-order screening expression with assumed parameters; no layout, distributed gate, substrate, bias, or power-gain extraction." }, { "id": "noise-parameter", "expression": "F = Fmin + (4*Rn/Z0)*|GammaS-GammaOpt|^2/((1-|GammaS|^2)*|1+GammaOpt|^2)", "boundary": "Synthetic assumed noise parameters only; no measurement or uncertainty claim." } ], "sweep": { "deviceStates": 3, "fixtureStates": 4, "correctionMethods": 4, "uncertaintyStates": 3, "referenceImpedanceStates": 2, "frequencySamples": 21, "rows": 6048 }, "zeroBoundaryFields": [ "external_numeric_values_used", "real_measurement_rows_used", "copied_touchstone_files_used", "proprietary_models_or_pdk_files_used", "vna_or_instrument_control_actions", "matching_network_recommendations", "rf_signoff_actions", "live_server_runs" ] }, "gate_counts": { "active_two_port_stability_review_required": 2646, "fixture_embedded_observation_only": 1512, "fixture_symmetry_assumption_review": 756, "port_extension_cannot_remove_loss_or_mismatch": 1134 }, "examples": [ { "case_id": "RFSP001-00001", "device_state": "capacitance_limited_proxy", "device_state_label": "Capacitance-limited small-signal proxy", "fixture_state": "direct_reference_plane", "fixture_state_label": "Direct reference plane", "correction_method": "raw_fixture_embedded", "correction_method_label": "Raw fixture-embedded S-parameters", "correction_method_class": "no_deembedding", "correction_boundary": "The measurement reference plane remains outside both fixtures.", "uncertainty_state": "nominal_no_residual", "uncertainty_state_label": "Nominal analytic chain", "uncertainty_interpretation": "No residual error box added; this is an exact arithmetic baseline, not a measurement uncertainty claim.", "reference_impedance_state": "real_z0_50", "reference_impedance_label": "Real 50 ohm reference", "reference_impedance_ohm": 50, "frequency_index": 0, "frequency_ghz": 1, "assumed_gm_s": 0.018, "assumed_gds_s": 0.0025, "assumed_cgs_f": 9e-14, "assumed_cgd_f": 1.8e-14, "assumed_cds_f": 1.2e-14, "assumed_rg_ohm": 8, "assumed_rs_ohm": 2, "first_order_ft_ghz": 26.525823849, "first_order_fmax_ghz": 59.915728696, "short_circuit_current_gain_mag": 26.526347442, "current_gain_distance_to_unity_db": 28.473549074, "intrinsic_s11_re": 0.9969151281, "intrinsic_s11_im": -0.0767813637, "intrinsic_s12_re": 0.000470003, "intrinsic_s12_im": 0.0100336527, "intrinsic_s21_re": -1.5964354289, "intrinsic_s21_im": 0.0848369474, "intrinsic_s22_re": 0.7771593865, "intrinsic_s22_im": -0.0229128554, "measured_s11_re": 0.9969151281, "measured_s11_im": -0.0767813637, "measured_s21_re": -1.5964354289, "measured_s21_im": 0.0848369474, "corrected_s11_re": 0.9969151281, "corrected_s11_im": -0.0767813637, "corrected_s12_re": 0.000470003, "corrected_s12_im": 0.0100336527, "corrected_s21_re": -1.5964354289, "corrected_s21_im": 0.0848369474, "corrected_s22_re": 0.7771593865, "corrected_s22_im": -0.0229128554, "fixture_insertion_loss_db": 0, "fixture_input_return_loss_db": 300, "fixture_output_return_loss_db": 300, "measured_forward_transmission_db": 4.075274412, "corrected_forward_transmission_db": 4.075274412, "corrected_input_return_loss_db": 0.00115038, "corrected_output_return_loss_db": 2.186024656, "corrected_s21_phase_deg": 176.95807859, "corrected_to_intrinsic_max_complex_error": 0, "corrected_s21_magnitude_error_db": 0, "corrected_s21_phase_error_deg": 0, "fixture_sigma_max": 1, "fixture_passivity_margin": 0, "fixture_passivity_check": "pass_analytic_passive_fixture", "corrected_rollet_k": 0.006283061, "corrected_delta_magnitude": 0.777456527, "stability_screen": "active_two_port_review_required", "stability_boundary": "K>1 and |Delta|<1 is a linear two-port screen only; no bias, nonlinear, large-signal, out-of-band, oscillation, or circuit stability signoff.", "assumed_fmin_linear": 1.450461804, "assumed_noise_resistance_ohm": 8.08, "assumed_gamma_opt_re": 0.257897078, "assumed_gamma_opt_im": -0.109037136, "assumed_source_gamma_re": 0.08, "assumed_source_gamma_im": 0.03, "noise_factor_linear_proxy": 1.471284207, "noise_figure_db_proxy": 1.676965731, "noise_boundary": "Synthetic four-noise-parameter equation literacy only; no measured noise parameters, source tuner, receiver correction, temperature sweep, or uncertainty budget.", "causality_interpretation": "Analytic RC and positive-delay construction; sparse 1-100 GHz samples are not a broadband or time-domain causality validation.", "covered_node_ids": "kn-dv-091|kn-dv-092|kn-dv-093|kn-dv-094|kn-dv-095", "external_numeric_values_used": 0, "real_measurement_rows_used": 0, "copied_touchstone_files_used": 0, "proprietary_models_or_pdk_files_used": 0, "vna_or_instrument_control_actions": 0, "matching_network_recommendations": 0, "rf_signoff_actions": 0, "live_server_runs": 0, "evidence_state": "cluster_level_evidence_reviewed_teaching_packet", "decision_gate": "fixture_embedded_observation_only", "next_safe_check": "Replace assumed device, fixture, residual-error, and noise parameters with owned bias-tagged Touchstone data, calibration/de-embedding provenance, uncertainty propagation, broadband quality checks, and accountable RF review." }, { "case_id": "RFSP001-01009", "device_state": "capacitance_limited_proxy", "device_state_label": "Capacitance-limited small-signal proxy", "fixture_state": "asymmetric_fixture", "fixture_state_label": "Asymmetric loss and delay fixture", "correction_method": "raw_fixture_embedded", "correction_method_label": "Raw fixture-embedded S-parameters", "correction_method_class": "no_deembedding", "correction_boundary": "The measurement reference plane remains outside both fixtures.", "uncertainty_state": "nominal_no_residual", "uncertainty_state_label": "Nominal analytic chain", "uncertainty_interpretation": "No residual error box added; this is an exact arithmetic baseline, not a measurement uncertainty claim.", "reference_impedance_state": "real_z0_50", "reference_impedance_label": "Real 50 ohm reference", "reference_impedance_ohm": 50, "frequency_index": 0, "frequency_ghz": 1, "assumed_gm_s": 0.018, "assumed_gds_s": 0.0025, "assumed_cgs_f": 9e-14, "assumed_cgd_f": 1.8e-14, "assumed_cds_f": 1.2e-14, "assumed_rg_ohm": 8, "assumed_rs_ohm": 2, "first_order_ft_ghz": 26.525823849, "first_order_fmax_ghz": 59.915728696, "short_circuit_current_gain_mag": 26.526347442, "current_gain_distance_to_unity_db": 28.473549074, "intrinsic_s11_re": 0.9969151281, "intrinsic_s11_im": -0.0767813637, "intrinsic_s12_re": 0.000470003, "intrinsic_s12_im": 0.0100336527, "intrinsic_s21_re": -1.5964354289, "intrinsic_s21_im": 0.0848369474, "intrinsic_s22_re": 0.7771593865, "intrinsic_s22_im": -0.0229128554, "measured_s11_re": 0.9744946669, "measured_s11_im": -0.1578538319, "measured_s21_re": -1.5735085688, "measured_s21_im": 0.1779967109, "corrected_s11_re": 0.9744946669, "corrected_s11_im": -0.1578538319, "corrected_s12_re": 0.001056225, "corrected_s12_im": 0.0098932824, "corrected_s21_re": -1.5735085688, "corrected_s21_im": 0.1779967109, "corrected_s22_re": 0.7716898465, "corrected_s22_im": -0.0496594371, "fixture_insertion_loss_db": 0.075379449, "fixture_input_return_loss_db": 51.844719015, "fixture_output_return_loss_db": 51.981064966, "measured_forward_transmission_db": 3.992603473, "corrected_forward_transmission_db": 3.992603473, "corrected_input_return_loss_db": 0.111924481, "corrected_output_return_loss_db": 2.23319675, "corrected_s21_phase_deg": 173.546085169, "corrected_to_intrinsic_max_complex_error": 0.095939472863, "corrected_s21_magnitude_error_db": -0.082670939, "corrected_s21_phase_error_deg": -3.411993421, "fixture_sigma_max": 0.991746689117, "fixture_passivity_margin": 0.008253310883, "fixture_passivity_check": "pass_analytic_passive_fixture", "corrected_rollet_k": 0.328012787, "corrected_delta_magnitude": 0.763455935, "stability_screen": "active_two_port_review_required", "stability_boundary": "K>1 and |Delta|<1 is a linear two-port screen only; no bias, nonlinear, large-signal, out-of-band, oscillation, or circuit stability signoff.", "assumed_fmin_linear": 1.450461804, "assumed_noise_resistance_ohm": 8.08, "assumed_gamma_opt_re": 0.257897078, "assumed_gamma_opt_im": -0.109037136, "assumed_source_gamma_re": 0.08, "assumed_source_gamma_im": 0.03, "noise_factor_linear_proxy": 1.471284207, "noise_figure_db_proxy": 1.676965731, "noise_boundary": "Synthetic four-noise-parameter equation literacy only; no measured noise parameters, source tuner, receiver correction, temperature sweep, or uncertainty budget.", "causality_interpretation": "Analytic RC and positive-delay construction; sparse 1-100 GHz samples are not a broadband or time-domain causality validation.", "covered_node_ids": "kn-dv-091|kn-dv-092|kn-dv-093|kn-dv-094|kn-dv-095", "external_numeric_values_used": 0, "real_measurement_rows_used": 0, "copied_touchstone_files_used": 0, "proprietary_models_or_pdk_files_used": 0, "vna_or_instrument_control_actions": 0, "matching_network_recommendations": 0, "rf_signoff_actions": 0, "live_server_runs": 0, "evidence_state": "cluster_level_evidence_reviewed_teaching_packet", "decision_gate": "fixture_embedded_observation_only", "next_safe_check": "Replace assumed device, fixture, residual-error, and noise parameters with owned bias-tagged Touchstone data, calibration/de-embedding provenance, uncertainty propagation, broadband quality checks, and accountable RF review." }, { "case_id": "RFSP001-03025", "device_state": "balanced_gain_proxy", "device_state_label": "Balanced gain-capacitance proxy", "fixture_state": "asymmetric_fixture", "fixture_state_label": "Asymmetric loss and delay fixture", "correction_method": "raw_fixture_embedded", "correction_method_label": "Raw fixture-embedded S-parameters", "correction_method_class": "no_deembedding", "correction_boundary": "The measurement reference plane remains outside both fixtures.", "uncertainty_state": "nominal_no_residual", "uncertainty_state_label": "Nominal analytic chain", "uncertainty_interpretation": "No residual error box added; this is an exact arithmetic baseline, not a measurement uncertainty claim.", "reference_impedance_state": "real_z0_50", "reference_impedance_label": "Real 50 ohm reference", "reference_impedance_ohm": 50, "frequency_index": 0, "frequency_ghz": 1, "assumed_gm_s": 0.035, "assumed_gds_s": 0.002, "assumed_cgs_f": 7e-14, "assumed_cgd_f": 1e-14, "assumed_cds_f": 9e-15, "assumed_rg_ohm": 4, "assumed_rs_ohm": 1.2, "first_order_ft_ghz": 69.630287603, "first_order_fmax_ghz": 208.432813918, "short_circuit_current_gain_mag": 69.630399802, "current_gain_distance_to_unity_db": 36.855977776, "intrinsic_s11_re": 0.998113963, "intrinsic_s11_im": -0.0602020672, "intrinsic_s12_re": 0.000202897, "intrinsic_s12_im": 0.0057054991, "intrinsic_s21_re": -3.1780014693, "intrinsic_s21_im": 0.1187276831, "intrinsic_s22_re": 0.8177399563, "intrinsic_s22_im": -0.018940112, "measured_s11_re": 0.9770408981, "measured_s11_im": -0.1416553506, "measured_s21_re": -3.1355453465, "measured_s21_im": 0.3046314, "corrected_s11_re": 0.9770408981, "corrected_s11_im": -0.1416553506, "corrected_s12_re": 0.0005367663, "corrected_s12_im": 0.0056298814, "corrected_s21_re": -3.1355453465, "corrected_s21_im": 0.3046314, "corrected_s22_re": 0.8121614511, "corrected_s22_im": -0.047142821, "fixture_insertion_loss_db": 0.075379449, "fixture_input_return_loss_db": 51.844719015, "fixture_output_return_loss_db": 51.981064966, "measured_forward_transmission_db": 9.967062253, "corrected_forward_transmission_db": 9.967062253, "corrected_input_return_loss_db": 0.111401042, "corrected_output_return_loss_db": 1.792544245, "corrected_s21_phase_deg": 174.450889879, "corrected_to_intrinsic_max_complex_error": 0.190690100304, "corrected_s21_magnitude_error_db": -0.082076894, "corrected_s21_phase_error_deg": -3.409579022, "fixture_sigma_max": 0.991746689117, "fixture_passivity_margin": 0.008253310883, "fixture_passivity_check": "pass_analytic_passive_fixture", "corrected_rollet_k": 0.241176869, "corrected_delta_magnitude": 0.803179668, "stability_screen": "active_two_port_review_required", "stability_boundary": "K>1 and |Delta|<1 is a linear two-port screen only; no bias, nonlinear, large-signal, out-of-band, oscillation, or circuit stability signoff.", "assumed_fmin_linear": 1.300414031, "assumed_noise_resistance_ohm": 6.06, "assumed_gamma_opt_re": 0.217529637, "assumed_gamma_opt_im": -0.032876389, "assumed_source_gamma_re": 0.02, "assumed_source_gamma_im": -0.04, "noise_factor_linear_proxy": 1.313207416, "noise_figure_db_proxy": 1.183333265, "noise_boundary": "Synthetic four-noise-parameter equation literacy only; no measured noise parameters, source tuner, receiver correction, temperature sweep, or uncertainty budget.", "causality_interpretation": "Analytic RC and positive-delay construction; sparse 1-100 GHz samples are not a broadband or time-domain causality validation.", "covered_node_ids": "kn-dv-091|kn-dv-092|kn-dv-093|kn-dv-094|kn-dv-095", "external_numeric_values_used": 0, "real_measurement_rows_used": 0, "copied_touchstone_files_used": 0, "proprietary_models_or_pdk_files_used": 0, "vna_or_instrument_control_actions": 0, "matching_network_recommendations": 0, "rf_signoff_actions": 0, "live_server_runs": 0, "evidence_state": "cluster_level_evidence_reviewed_teaching_packet", "decision_gate": "fixture_embedded_observation_only", "next_safe_check": "Replace assumed device, fixture, residual-error, and noise parameters with owned bias-tagged Touchstone data, calibration/de-embedding provenance, uncertainty propagation, broadband quality checks, and accountable RF review." }, { "case_id": "RFSP001-05041", "device_state": "gate_resistance_limited_proxy", "device_state_label": "Gate-resistance-limited power-gain proxy", "fixture_state": "asymmetric_fixture", "fixture_state_label": "Asymmetric loss and delay fixture", "correction_method": "raw_fixture_embedded", "correction_method_label": "Raw fixture-embedded S-parameters", "correction_method_class": "no_deembedding", "correction_boundary": "The measurement reference plane remains outside both fixtures.", "uncertainty_state": "nominal_no_residual", "uncertainty_state_label": "Nominal analytic chain", "uncertainty_interpretation": "No residual error box added; this is an exact arithmetic baseline, not a measurement uncertainty claim.", "reference_impedance_state": "real_z0_50", "reference_impedance_label": "Real 50 ohm reference", "reference_impedance_ohm": 50, "frequency_index": 0, "frequency_ghz": 1, "assumed_gm_s": 0.055, "assumed_gds_s": 0.004, "assumed_cgs_f": 6.5e-14, "assumed_cgd_f": 1.2e-14, "assumed_cds_f": 1e-14, "assumed_rg_ohm": 12, "assumed_rs_ohm": 1.8, "first_order_ft_ghz": 113.682102208, "first_order_fmax_ghz": 142.973331411, "short_circuit_current_gain_mag": 113.68220903, "current_gain_distance_to_unity_db": 41.113850081, "intrinsic_s11_re": 0.997724, "intrinsic_s11_im": -0.0655798176, "intrinsic_s12_re": 0.0002421644, "intrinsic_s12_im": 0.0062746403, "intrinsic_s21_re": -4.5768579087, "intrinsic_s21_im": 0.1829239263, "intrinsic_s22_re": 0.6659539149, "intrinsic_s22_im": -0.0239738289, "measured_s11_re": 0.976229249, "measured_s11_im": -0.1469149611, "measured_s21_re": -4.5146834559, "measured_s21_im": 0.4514702874, "corrected_s11_re": 0.976229249, "corrected_s11_im": -0.1469149611, "corrected_s12_re": 0.0006104245, "corrected_s12_im": 0.0061899116, "corrected_s21_re": -4.5146834559, "corrected_s21_im": 0.4514702874, "corrected_s22_re": 0.6610621549, "corrected_s22_im": -0.0467478063, "fixture_insertion_loss_db": 0.075379449, "fixture_input_return_loss_db": 51.844719015, "fixture_output_return_loss_db": 51.981064966, "measured_forward_transmission_db": 13.135760216, "corrected_forward_transmission_db": 13.135760216, "corrected_input_return_loss_db": 0.111702275, "corrected_output_return_loss_db": 3.573490105, "corrected_s21_phase_deg": 174.289382463, "corrected_to_intrinsic_max_complex_error": 0.275649797119, "corrected_s21_magnitude_error_db": -0.082520143, "corrected_s21_phase_error_deg": -3.42188716, "fixture_sigma_max": 0.991746689117, "fixture_passivity_margin": 0.008253310883, "fixture_passivity_check": "pass_analytic_passive_fixture", "corrected_rollet_k": 0.252016621, "corrected_delta_magnitude": 0.654232725, "stability_screen": "active_two_port_review_required", "stability_boundary": "K>1 and |Delta|<1 is a linear two-port screen only; no bias, nonlinear, large-signal, out-of-band, oscillation, or circuit stability signoff.", "assumed_fmin_linear": 1.38043951, "assumed_noise_resistance_ohm": 10.1, "assumed_gamma_opt_re": 0.333222636, "assumed_gamma_opt_im": 0.067547572, "assumed_source_gamma_re": -0.06, "assumed_source_gamma_im": 0.06, "noise_factor_linear_proxy": 1.451082302, "noise_figure_db_proxy": 1.616920452, "noise_boundary": "Synthetic four-noise-parameter equation literacy only; no measured noise parameters, source tuner, receiver correction, temperature sweep, or uncertainty budget.", "causality_interpretation": "Analytic RC and positive-delay construction; sparse 1-100 GHz samples are not a broadband or time-domain causality validation.", "covered_node_ids": "kn-dv-091|kn-dv-092|kn-dv-093|kn-dv-094|kn-dv-095", "external_numeric_values_used": 0, "real_measurement_rows_used": 0, "copied_touchstone_files_used": 0, "proprietary_models_or_pdk_files_used": 0, "vna_or_instrument_control_actions": 0, "matching_network_recommendations": 0, "rf_signoff_actions": 0, "live_server_runs": 0, "evidence_state": "cluster_level_evidence_reviewed_teaching_packet", "decision_gate": "fixture_embedded_observation_only", "next_safe_check": "Replace assumed device, fixture, residual-error, and noise parameters with owned bias-tagged Touchstone data, calibration/de-embedding provenance, uncertainty propagation, broadband quality checks, and accountable RF review." }, { "case_id": "RFSP001-06048", "device_state": "gate_resistance_limited_proxy", "device_state_label": "Gate-resistance-limited power-gain proxy", "fixture_state": "mismatched_fixture", "fixture_state_label": "Strong impedance-discontinuity fixture", "correction_method": "known_fixture_inverse", "correction_method_label": "Known-fixture error-box inverse", "correction_method_class": "declared_error_box_inverse", "correction_boundary": "Removes the exact declared analytic fixtures but not undeclared residual error boxes.", "uncertainty_state": "residual_loss_mismatch", "uncertainty_state_label": "Residual loss and mismatch sensitivity", "uncertainty_interpretation": "Deterministic sensitivity state for local fixture error; it is not a calibrated VNA error model.", "reference_impedance_state": "real_z0_75", "reference_impedance_label": "Real 75 ohm reference", "reference_impedance_ohm": 75, "frequency_index": 20, "frequency_ghz": 100, "assumed_gm_s": 0.055, "assumed_gds_s": 0.004, "assumed_cgs_f": 6.5e-14, "assumed_cgd_f": 1.2e-14, "assumed_cds_f": 1e-14, "assumed_rg_ohm": 12, "assumed_rs_ohm": 1.8, "first_order_ft_ghz": 113.682102208, "first_order_fmax_ghz": 142.973331411, "short_circuit_current_gain_mag": 1.147453458, "current_gain_distance_to_unity_db": 1.194701578, "intrinsic_s11_re": -0.8399862879, "intrinsic_s11_im": -0.3639112149, "intrinsic_s12_re": 0.1306900306, "intrinsic_s12_im": -0.0346185191, "intrinsic_s21_re": 0.3832183337, "intrinsic_s21_im": 0.9187131817, "intrinsic_s22_re": -0.2226246196, "intrinsic_s22_im": -0.4532462126, "measured_s11_re": 0.5575359506, "measured_s11_im": -0.3628689395, "measured_s21_re": -0.650017883, "measured_s21_im": -0.6914546644, "corrected_s11_re": -0.8877046779, "corrected_s11_im": -0.1358870098, "corrected_s12_re": 0.1156206508, "corrected_s12_im": -0.0649974573, "corrected_s21_re": 0.5897512041, "corrected_s21_im": 0.7784091221, "corrected_s22_re": -0.322412269, "corrected_s22_im": -0.3791740938, "fixture_insertion_loss_db": 2.150553231, "fixture_input_return_loss_db": 9.502940282, "fixture_output_return_loss_db": 9.545628969, "measured_forward_transmission_db": -0.454522401, "corrected_forward_transmission_db": -0.205758111, "corrected_input_return_loss_db": 0.934037733, "corrected_output_return_loss_db": 6.060342572, "corrected_s21_phase_deg": 52.85110022, "corrected_to_intrinsic_max_complex_error": 0.249681909037, "corrected_s21_magnitude_error_db": -0.16601345, "corrected_s21_phase_error_deg": -14.506657415, "fixture_sigma_max": 0.857745827778, "fixture_passivity_margin": 0.142254172222, "fixture_passivity_check": "pass_analytic_passive_fixture", "corrected_rollet_k": 0.259757524, "corrected_delta_magnitude": 0.348571024, "stability_screen": "active_two_port_review_required", "stability_boundary": "K>1 and |Delta|<1 is a linear two-port screen only; no bias, nonlinear, large-signal, out-of-band, oscillation, or circuit stability signoff.", "assumed_fmin_linear": 1.4904, "assumed_noise_resistance_ohm": 11, "assumed_gamma_opt_re": 0.260046344, "assumed_gamma_opt_im": 0.219034014, "assumed_source_gamma_re": -0.06, "assumed_source_gamma_im": 0.06, "noise_factor_linear_proxy": 1.536541518, "noise_figure_db_proxy": 1.865442994, "noise_boundary": "Synthetic four-noise-parameter equation literacy only; no measured noise parameters, source tuner, receiver correction, temperature sweep, or uncertainty budget.", "causality_interpretation": "Analytic RC and positive-delay construction; sparse 1-100 GHz samples are not a broadband or time-domain causality validation.", "covered_node_ids": "kn-dv-091|kn-dv-092|kn-dv-093|kn-dv-094|kn-dv-095", "external_numeric_values_used": 0, "real_measurement_rows_used": 0, "copied_touchstone_files_used": 0, "proprietary_models_or_pdk_files_used": 0, "vna_or_instrument_control_actions": 0, "matching_network_recommendations": 0, "rf_signoff_actions": 0, "live_server_runs": 0, "evidence_state": "cluster_level_evidence_reviewed_teaching_packet", "decision_gate": "active_two_port_stability_review_required", "next_safe_check": "Replace assumed device, fixture, residual-error, and noise parameters with owned bias-tagged Touchstone data, calibration/de-embedding provenance, uncertainty propagation, broadband quality checks, and accountable RF review." } ], "methods": [ "Generate a deterministic 3 x 4 x 4 x 3 x 2 x 21 Cartesian sweep over assumed device state, passive fixture, correction method, residual-error state, real reference impedance, and frequency.", "Build an original small-signal Y matrix, convert it to complex S-parameters, cascade passive positive-delay ABCD fixture boxes, and compare four explicitly bounded reference-plane correction classes.", "Recompute fixture singular-value passivity, corrected two-port K and Delta, first-order fT/fmax screens, and a synthetic four-noise-parameter equation at each frequency.", "Preserve calibration, de-embedding, passivity, causality, uncertainty, compact-model, measurement, and RF-owner replacement evidence as separate gates." ], "public_boundary": [ "The replay contains 6,048 original deterministic rows, zero measured rows, zero copied Touchstone files, zero external device values, and zero proprietary model or PDK files.", "The symmetric split-fixture and port-extension methods are teaching proxies, not IEEE 370 compliance, multiline TRL execution, VNA calibration, or measurement correction software.", "K and Delta are linear two-port screens; fixture sigma-max is a pointwise analytic passivity check. Neither establishes broadband causality, nonlinear stability, circuit stability, or RF signoff.", "No VNA or instrument control, upload parser, live solver, matching-network recommendation, device or vendor ranking, product claim, calibration service, or signoff action is active.", "A real study needs owned bias- and temperature-tagged complex data, reference-plane and impedance definitions, calibration and de-embedding provenance, uncertainty propagation, broadband quality checks, compact-model provenance, and accountable RF review." ], "sources": [ { "id": "src-nist-optimal-multiline-trl", "label": "NIST: An Optimal Multiline TRL Calibration Algorithm", "organization": "NIST", "url": "https://www.nist.gov/publications/optimal-multiline-trl-calibration-algorithm", "sourceClass": "government-primary-publication", "rights": "Official publication metadata and link only; no paper text, figure, table, or measurement is mirrored.", "note": "Primary calibration and uncertainty anchor for multiline TRL and error-box reasoning." }, { "id": "src-nist-characteristic-impedance", "label": "NIST: Characteristic Impedance Determination Using Propagation Constant Measurement", "organization": "NIST", "url": "https://www.nist.gov/publications/characteristic-impedance-determination-using-propagation-constant-measurement", "sourceClass": "government-primary-publication", "rights": "Official publication metadata and link only; no article content or external numeric result is copied.", "note": "Reference-impedance and transmission-line interpretation anchor." }, { "id": "src-nist-reciprocity-waveguide", "label": "NIST: Reciprocity Relations in Waveguide Junctions", "organization": "NIST", "url": "https://www.nist.gov/publications/reciprocity-relations-waveguide-junctions", "sourceClass": "government-primary-publication", "rights": "Official metadata and link only; the paper and its experimental evidence are not mirrored.", "note": "Boundary anchor showing that reciprocity interpretation depends on waveguide and reference-impedance definitions." }, { "id": "src-nist-sparameter-noise-influence", "label": "NIST: Noise Influence on Scattering-Parameter Measurements", "organization": "NIST", "url": "https://www.nist.gov/publications/noise-influence-scattering-parameter-measurements", "sourceClass": "government-primary-publication", "rights": "Official publication page and original synthesis only; no measurement data or article content is copied.", "note": "Uncertainty anchor for noise-influenced complex S-parameter measurements, especially small-magnitude terms." }, { "id": "src-nist-transistor-noise-parameters", "label": "NIST: On-Wafer Measurement of Transistor Noise Parameters", "organization": "NIST", "url": "https://www.nist.gov/publications/wafer-measurement-transistor-noise-parameters-nist", "sourceClass": "government-primary-publication", "rights": "Official metadata and link only; no measured transistor values, tables, figures, or paper text are reused.", "note": "Noise-parameter measurement and uncertainty boundary anchor." }, { "id": "src-ieee-370-2020", "label": "IEEE 370-2020 fixture and interconnect characterization standard", "organization": "IEEE Standards Association", "url": "https://standards.ieee.org/ieee/370/6165/", "sourceClass": "active-standard-metadata", "rights": "Controlled standard; public title, scope metadata, and official link only. No standard text is reproduced.", "note": "Official scope anchor for high-frequency interconnect quality and fixture-removal practices." }, { "id": "src-scikit-rf-deembedding", "label": "scikit-rf official de-embedding tutorial", "organization": "scikit-rf", "url": "https://scikit-rf.readthedocs.io/en/latest/tutorials/Deembedding.html", "sourceClass": "open-source-documentation", "rights": "Official documentation link; project documentation and code licenses apply. No example dataset or code is mirrored.", "note": "Calibration-versus-de-embedding and reference-plane learning anchor." }, { "id": "src-scikit-rf-ieee-p370", "label": "scikit-rf IEEE P370 de-embedding example", "organization": "scikit-rf", "url": "https://scikit-rf.readthedocs.io/en/latest/examples/networktheory/IEEEP370%20Deembedding.html", "sourceClass": "open-source-documentation", "rights": "Official documentation link; no notebook text, plot, code, or dataset is copied.", "note": "2x-Thru terminology, fixture quality, passivity, reciprocity, and causality review anchor. This packet does not execute that implementation." }, { "id": "src-mit-ocw-sparameters", "label": "MIT OCW 6.976: S-Parameters and Impedance Transformers", "organization": "MIT OpenCourseWare", "url": "https://ocw.mit.edu/courses/6-976-high-speed-communication-circuits-and-systems-spring-2003/resources/lec3/", "sourceClass": "open-course-resource", "rights": "Official course-resource link and original synthesis only; item-level OCW terms apply.", "note": "S-parameter, reference impedance, reflection, and transmission learning anchor." }, { "id": "src-mit-ocw-ft", "label": "MIT OCW 6.720J: MOSFET small-signal behavior and current-gain cutoff", "organization": "MIT OpenCourseWare", "url": "https://ocw.mit.edu/courses/6-720j-integrated-microelectronic-devices-spring-2007/resources/lecture27/", "sourceClass": "open-course-resource", "rights": "Official course-resource link and original synthesis only; the lecture file is not mirrored.", "note": "Small-signal and short-circuit current-gain cutoff-frequency anchor." }, { "id": "src-berkeley-hu-high-frequency", "label": "UC Berkeley: High-frequency performance definitions", "organization": "UC Berkeley EECS", "url": "https://www.chu.berkeley.edu/wp-content/uploads/2020/01/Chenming-Hu-ch6-slides.pdf", "sourceClass": "university-course-resource", "rights": "Official faculty-hosted course-resource link; no slide text, figure, table, device value, or comparison is copied.", "note": "Definition and input-resistance/capacitance boundary anchor for fT and fmax; the packet uses original assumed inputs only." }, { "id": "src-bsim-models", "label": "UC Berkeley BSIM model families", "organization": "UC Berkeley BSIM Group", "url": "https://www.bsim.berkeley.edu/models/", "sourceClass": "compact-model-reference", "rights": "Official model distribution and documentation links; model-specific licenses apply. No model package is mirrored.", "note": "Compact-model provenance boundary for real RF extraction and replacement evidence." } ] }