# Supplementary Material
## IEEE Wireless Communications Letters

**Paper:** "Subspace Overlap Predicts Residual Sensing Feasibility in OFDM ISAC Systems"  
**Author:** Ramakrishna Pasupuleti (ORCID: 0009-0008-8418-1430)

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## Contents

| File | Description |
|---|---|
| `wcl_supplementary_code.py` | Reproduces ALL letter results (Tables I-II, Figs. 1-2) |
| `wcl_results/table1_eta.json` | Table I data: η₁, σ₁/σ₂, k*, Δ* for 12 channels |
| `wcl_results/table2_baselines.json` | Table II data: 5 baseline methods |
| `wcl_results/regression.json` | Multi-variable regression (180 points, R²=0.55) |
| `wcl_figures/fig1_eta_predictor.png` | Fig. 1: η₁ scatter plot |
| `wcl_figures/fig2_baselines.png` | Fig. 2: Baseline comparison |

## Quick Start

```bash
pip install numpy scipy matplotlib
python wcl_supplementary_code.py --quick   # ~1 min verification
python wcl_supplementary_code.py           # ~8 min full reproduction
```

## Reproducibility

All random seeds are fixed. Running the code produces identical results.
- Base seed: 42 (pilot generation)  
- Per-experiment offsets documented in code comments

## Extended Results

The full simulation including multi-frame detection, cooperative IoT, and MIMO is available in the preprint:  
DOI: [10.5281/zenodo.21201976](https://doi.org/10.5281/zenodo.21201976)

## License

CC BY 4.0