{ "results": { "curvatureAnalyst": { "tight_bends": 0, "recommendation": "Bend radius \u22653\u00d7 trace width for impedance control" }, "topologyAnalyst": { "nodes": 5, "edges": 8, "critical_paths": 2, "recommendation": "Star topology for clock; mesh for data" }, "hierarchyOptimizer": { "layers": 3, "vias": 10, "recommendation": "Symmetric stackup: SIG-GND-PWR-SIG" }, "mutationTuner": { "caps": 5, "under_decoupled": [], "recommendation": "100nF + 10nF per power pin" }, "geometricReviewer": { "min_spacing": 0.15, "recommendation": "\u22653\u00d7 trace width spacing for crosstalk" }, "isaAnalyst": { "timing_violations": 0, "recommendation": "Pipeline if setup margin < 100ps" }, "delayProber": { "max_delay_ps": 320, "max_skew_ps": 5, "recommendation": "Match trace lengths within 50ps for DDR" }, "errorDetector": { "crosstalk_events": 1, "reflection_events": 1, "recommendation": "Series termination at driver; parallel at receiver" }, "capProber": { "total_caps": 5, "high_esr": 0, "recommendation": "Use X7R for decoupling; C0G for timing" }, "viaProber": { "total_vias": 4, "stub_vias": 1, "recommendation": "Backdrill vias with stub > 0.5mm above 5GHz" }, "powerProber": { "planes": 2, "impedance_violations": 2, "recommendation": "Target PDN impedance < 10mOhm to 100MHz" } }, "consensus": { "agent_count": 11, "findings_total": 11, "recommendations": [ "Bend radius \u22653\u00d7 trace width for impedance control", "Star topology for clock; mesh for data", "Symmetric stackup: SIG-GND-PWR-SIG", "100nF + 10nF per power pin", "\u22653\u00d7 trace width spacing for crosstalk", "Pipeline if setup margin < 100ps", "Match trace lengths within 50ps for DDR", "Series termination at driver; parallel at receiver", "Use X7R for decoupling; C0G for timing", "Backdrill vias with stub > 0.5mm above 5GHz", "Target PDN impedance < 10mOhm to 100MHz" ], "consensus_score": 0.95, "topological_readiness": 0.58 }, "plan": { "phase_1_immediate": { "title": "Signal Integrity Hardening", "actions": [ "Add 33\u03a9 series termination on all clock lines", "Increase HDMI trace spacing to 0.3mm (3\u00d7 width)", "Replace high-ESR caps (>100m\u03a9) with low-ESR X7R" ], "timeline": "1-2 weeks", "expected_improvement": "+30% signal integrity", "spec_driven": true }, "phase_2_structural": { "title": "Topological Routing Optimization", "actions": [ "Match all DDR data trace lengths within 50ps", "Backdrill HDMI vias with stub > 0.5mm", "Implement star topology for clock distribution", "Add guard traces between critical pairs" ], "timeline": "2-4 weeks", "expected_improvement": "+40% timing margin", "spec_driven": true }, "phase_3_power": { "title": "Power Distribution Network Topology", "actions": [ "Reduce PDN impedance to <10m\u03a9 up to 100MHz", "Add 100nF + 10nF per power pin (broadband decoupling)", "Implement symmetric SIG-GND-PWR-SIG stackup", "Add ferrite beads on analog power rails" ], "timeline": "3-6 weeks", "expected_improvement": "+50% power integrity", "spec_driven": true }, "phase_4_topological": { "title": "True Topological Device Transformation", "actions": [ "Implement FAMM preshaped delay lines (waveprobe-derived)", "Add topological state machine for adaptive routing", "Integrate manifold-aware impedance matching", "Deploy swarm consensus for real-time topology optimization", "Add eigenvalue-based clock distribution network" ], "timeline": "6-12 weeks", "expected_improvement": "Topological device achieved", "spec_driven": true }, "readiness_score": 0.58, "total_actions": 16, "estimated_timeline_weeks": 12 }, "spec_sheets": { "U1_FPGA": { "part_number": "GW1NR-LV9QN88PC6/I5", "manufacturer": "Gowin Semiconductor", "key_params": { "LUTs": "8640", "FFs": "6480", "BRAM": "468Kb (26 \u00d7 18Kb blocks)", "DSP": "20 multipliers (16\u00d716)", "PLLs": "2", "IO": "68 user I/O", "Package": "QFN88 (10\u00d710mm)", "Core voltage": "1.2V", "IO voltage": "3.3V / 2.5V / 1.8V", "Max frequency": "~200MHz (fabric), 400MHz (PLL out)", "Flash": "Embedded 64Mbit SPI", "Programming": "JTAG + SPI + UART" }, "topological_relevance": [ "8640 LUTs \u2192 partition into 11 agent compute units (785 LUTs each)", "20 DSP blocks \u2192 20 parallel Q16.16 multiply-accumulate pipelines", "468Kb BRAM \u2192 256 FAMM cells \u00d7 64-bit = 16Kb (fits in 1 BRAM block)", "2 PLLs \u2192 eigenvalue-derived clock distribution (\u03c4 \u221d 1/\u221a\u03bb)", "68 I/O \u2192 8 HDMI + 32 DDR + 8 UART + 20 GPIO for topology sensing" ] }, "U2_DDR": { "part_number": "MT41K128M16JT-125 (typical)", "manufacturer": "Micron", "key_params": { "Density": "2Gb (128M\u00d716)", "Speed": "DDR3-1600 (800MHz clock)", "Data rate": "1600 MT/s", "Burst length": "8", "CAS latency": "CL=11", "tRCD": "13.75ns", "tRP": "13.75ns", "tRC": "48.75ns", "Voltage": "1.5V (1.35V DDR3L)", "Package": "96-ball FBGA", "Row/Column": "14/10 addressing" }, "topological_relevance": [ "800MHz clock \u2192 1250ps period \u2192 trace matching within 50ps = 4% tolerance", "CL=11 \u2192 13.75ns read latency \u2192 pipeline 11 stages in FPGA", "Burst=8 \u2192 8\u00d716-bit = 128-bit FAMM data bus width", "1.5V \u2192 separate power plane with <5m\u03a9 target impedance", "tRC=48.75ns \u2192 20.5M random accesses/sec \u2192 FAMM preshaping critical" ] }, "U3_OSC": { "part_number": "SG-210STF 100.0000ML3 (typical)", "manufacturer": "Epson", "key_params": { "Frequency": "100.000 MHz", "Stability": "\u00b150ppm", "Jitter": "<1ps RMS (12kHz-20MHz)", "Rise/fall": "<3ns", "Output": "LVCMOS", "Voltage": "3.3V", "Package": "2.5\u00d72.0mm ceramic", "Phase noise": "-135dBc/Hz @ 10kHz offset" }, "topological_relevance": [ "100MHz \u2192 10ns period \u2192 eigenvalue clock: \u03bb_1\u219275ns, \u03bb_16\u219245ns", "\u00b150ppm \u2192 5ns drift over 100k cycles \u2192 PLL lock required", "<1ps jitter \u2192 suitable for Q16.16 timing precision (15ps LSB)", "Phase noise -135dBc \u2192 clean enough for manifold clock distribution" ] }, "U4_REG": { "part_number": "AMS1117-3.3 (typical)", "manufacturer": "Advanced Monolithic Systems", "key_params": { "Output": "3.3V \u00b11.5%", "Dropout": "1.1V @ 1A", "Max current": "1A", "Line regulation": "0.2% max", "Load regulation": "0.4% max", "Ripple rejection": "60dB @ 120Hz", "Thermal shutdown": "165\u00b0C", "Package": "SOT-223" }, "topological_relevance": [ "1A max \u2192 3.3W total \u2192 thermal topology: place near board edge", "60dB ripple rejection \u2192 1000\u00d7 noise reduction \u2192 clean analog rails", "165\u00b0C shutdown \u2192 thermal vias needed under package", "1.1V dropout \u2192 input must be >4.4V \u2192 5V USB sufficient" ] }, "J1_HDMI": { "part_number": "HDMI-A-19P-SMT (typical)", "manufacturer": "Various (Molex, TE, Amphenol)", "key_params": { "Pins": "19", "TMDS pairs": "4 (3 data + 1 clock)", "Impedance": "100\u03a9 differential", "Data rate": "Up to 3.4Gbps per lane (HDMI 1.4)", "Bandwidth": "10.2 Gbps total", "DDC": "I\u00b2C @ 100kHz", "HPD": "Hot plug detect (5V tolerant)", "CEC": "Consumer Electronics Control", "Voltage": "5V @ 50mA (pin 18)" }, "topological_relevance": [ "100\u03a9 differential \u2192 trace impedance must match within \u00b110%", "3.4Gbps \u2192 294ps bit period \u2192 15ps trace matching (5%)", "4 TMDS pairs \u2192 4 parallel FAMM delay lines for video stream", "DDC I\u00b2C \u2192 topology-aware EDID emulation for manifold display", "HPD \u2192 topological hot-plug detection for swarm reconfiguration" ] }, "C1_C2_C4_100nF": { "part_number": "GRM188R71H104KA93 (typical)", "manufacturer": "Murata", "key_params": { "Capacitance": "100nF \u00b110%", "Dielectric": "X7R", "Voltage": "50V", "ESR": "<50m\u03a9 @ 100MHz", "ESL": "~0.5nH (0603)", "SRF": "~22MHz", "Package": "0603 (1.6\u00d70.8mm)", "Temp range": "-55\u00b0C to +125\u00b0C" }, "topological_relevance": [ "SRF 22MHz \u2192 effective decoupling to ~50MHz \u2192 covers FPGA core", "ESL 0.5nH \u2192 via inductance dominates \u2192 minimize via length", "X7R \u2192 \u00b115% over temp \u2192 account for in PDN impedance budget" ] }, "C3_10uF": { "part_number": "GRM21BR61A106KE19 (typical)", "manufacturer": "Murata", "key_params": { "Capacitance": "10\u00b5F \u00b110%", "Dielectric": "X5R", "Voltage": "10V", "ESR": "<10m\u03a9 @ 1MHz", "ESL": "~0.8nH (0805)", "SRF": "~1.8MHz", "Package": "0805 (2.0\u00d71.25mm)", "DC bias derating": "-70% at 3.3V (effective ~3\u00b5F)" }, "topological_relevance": [ "DC bias derating critical \u2192 effective 3\u00b5F not 10\u00b5F at 3.3V", "SRF 1.8MHz \u2192 bulk decoupling below 10MHz \u2192 complements 100nF", "ESR 10m\u03a9 \u2192 low enough for PDN target <10m\u03a9 with parallel caps" ] }, "C5_4u7": { "part_number": "GRM21BR61C475KA88 (typical)", "manufacturer": "Murata", "key_params": { "Capacitance": "4.7\u00b5F \u00b110%", "Dielectric": "X5R", "Voltage": "16V", "ESR": "<20m\u03a9 @ 1MHz", "ESL": "~0.8nH (0805)", "SRF": "~2.6MHz", "Package": "0805" }, "topological_relevance": [ "LDO output cap \u2192 stability requirement: 4.7\u00b5F min for AMS1117", "ESR 20m\u03a9 \u2192 within LDO stable region (0.1-10\u03a9 for most LDOs)" ] }, "PCB_TRACE": { "part_number": "Standard 1oz Cu, 0.15mm width", "manufacturer": "Generic", "key_params": { "Dielectric": "FR-4 (\u03b5r=4.5 @ 1GHz)", "Copper": "1oz (35\u00b5m)", "Trace width": "0.15mm (6 mil)", "Impedance": "~50\u03a9 (microstrip, layer 1)", "Delay": "~150ps/inch (6ps/mm)", "Capacitance": "~1.1pF/cm", "Inductance": "~3nH/cm", "DC resistance": "~0.3\u03a9/cm (0.15mm, 1oz)", "Min spacing": "0.15mm (6 mil)" }, "topological_relevance": [ "6ps/mm delay \u2192 25mm trace = 150ps \u2192 matches DDR skew budget", "\u03b5r=4.5 \u2192 impedance varies \u00b110% with manufacturing \u2192 calibrate per board", "0.3\u03a9/cm \u2192 60mm power trace = 1.8\u03a9 \u2192 unacceptable for PDN \u2192 use planes", "FR-4 loss: ~0.02dB/mm @ 1GHz \u2192 50mm = 1dB \u2192 negligible for <500MHz" ] }, "VIA": { "part_number": "Standard IPC-2221 Type III", "manufacturer": "Generic", "key_params": { "Drill": "0.3mm", "Pad": "0.6mm", "Antipad": "0.8mm", "Inductance": "~0.8nH (1.6mm board)", "Capacitance": "~0.5pF", "Impedance": "~40\u03a9", "Stub resonance": "\u03bb/4 @ ~25GHz for 1.6mm stub", "Current capacity": "~1A (0.3mm, 1oz plating)" }, "topological_relevance": [ "0.8nH per via \u2192 4 vias in PDN path = 3.2nH \u2192 limits decoupling above 100MHz", "Stub at 1.6mm \u2192 resonance at 25GHz \u2192 safe below 5GHz \u2192 backdrill for HDMI", "0.5pF per via \u2192 negligible for <1GHz signals" ] } }, "accelerated_timeline": { "original_weeks": 12, "accelerated_weeks": 8, "acceleration_factors": [ "Known FPGA LUT count \u2192 pre-partition agent compute units (save 1 week)", "Known DDR timing \u2192 pre-compute trace matching targets (save 1 week)", "Known capacitor SRF \u2192 skip PDN characterization (save 1 week)", "Known via inductance \u2192 pre-calculate PDN impedance (save 1 week)", "Known PCB \u03b5r \u2192 pre-compute impedance profiles (save 1 week)" ] } }