Covers all five studies: rate comparison, base matrix quality,
quantization sweep, Shannon gap, and frame synchronization.
Includes interpretation, recommendations, and reproduction steps.
Key findings: 9 dB gap to Shannon, matrix degree distribution is
the primary bottleneck, 6-bit quantization validated, frame sync
tractable at ~30 us acquisition cost.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
- Fixed improved staircase: below-diagonal connections preserve full
parity rank (col7->row0 s3, col1->row4 s15)
- Fixed PEG matrix: staircase backbone with cross-connections,
all parity cols dv>=2, VN degrees [7,3,3,3,2,2,2,2]
- Clean up VN degree display (remove np.int64 wrapper)
- Ran all four analyses with 200 frames per point
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
Implements four LDPC code analyses for photon-starved optical channels:
- Rate sweep: compare FER across 1/2, 1/3, 1/4, 1/6, 1/8 IRA staircase codes
- Matrix comparison: original staircase vs improved staircase vs PEG ring
- Quantization sweep: 4-16 bit and float precision impact on FER
- Shannon gap: binary-input Poisson channel capacity limits via binary search
Core infrastructure includes generic IRA staircase builder, GF(2) Gaussian
elimination encoder for non-triangular matrices, parameterized layered
min-sum decoder with variable check degree, and BFS girth computation.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
Covers frame synchronization prototype (acquisition + re-sync)
and four code analysis studies: rate comparison, base matrix
quality, quantization sweep, and Shannon gap computation.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
IRA staircase structure: col 0 = info (dv=7), cols 1-7 = parity (dv=1-2).
RTL decoder core still needs CN update rework for variable degree.
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
- Fixed cyclic shift convention (QC-LDPC P_s is left shift, not right)
- Fixed encoder to solve rows sequentially (row 0 first for p1, then 1-6)
- Fixed decoder to only gather connected columns per CN (staircase has dc=2-3)
- Fixed LLR sign convention: positive = bit 0 more likely
- Decoder validates at lam_s >= 4 photons/slot (~90% frame success)
Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
