Message Signature #303664

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Message Copy

┌─────────────────────────────────────────────────────────────────────────┐
│                    Labyrinth Transform FPGA Core                        │
├─────────────────────────────────────────────────────────────────────────┤
│                                                                         │
│  Stage 1: Phase Reception                                               │
│  ├── IQ demodulation → phase extraction (CORDIC)                        │
│  ├── Phase unwrapping (Kalman predictor)                                │
│  └── Output: θ_rx[17:0]                                                │
│                              ↓                                          │
│  Stage 2: Prime Index Lookup                                            │
│  ├── θ → bin index (upper 9 bits)                                       │
│  ├── BRAM lookup: candidate primes (3 cycles)                           │
│  └── Output: candidate list (10 primes)                                 │
│                              ↓                                          │
│  Stage 3: Kernel Computation                                            │
│  ├── Parallel 10× Gaussian kernel (DSP48)                             │
│  ├── Phase difference: Δθ = (θ_rx - θ_prime + π) mod 2π                 │
│  ├── Score = exp(-Δθ² / 2σ²) (LUT-based)                                │
│  └── Output: scored candidates                                          │
│                              ↓                                          │
│  Stage 4: Eisenstein Branch Selection                                   │
│  ├── Current state z_k (a, b registers)                                 │
│  ├── Sector = floor(6 × Δθ / 2π)                                         │
│  ├── Next z = z + ω^sector × floor(p/φ)                                │
│  └── Output: z_{k+1}, selected prime                                    │
│                              ↓                                          │
│  Stage 5: Trellis Update (Viterbi)                                      │
│  ├── Path metric RAM (dual-port)                                        │
│  ├── Survivor path traceback                                            │
│  └── Output: best path to each state                                    │
│                                                                         │
│  Latency: 15 cycles @ 200 MHz = 75 ns per symbol                          │
│  Throughput: 13.3 Msymbols/s                                            │
│                                                                         │
└─────────────────────────────────────────────────────────────────────────┘

Signature Hash Copy

0x0fea811ba45d2d1283432cc02fa76eeab33bc081c2c045006ea3d656529bf64b66082f87121da7ba00a0f5c05614384520685c108c18356a185b6793be8d8e9d1b

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Message Signature #303664