Four-scheme jamming comparison and a fully generated refresh table

Give the orthogonal-access jammer its own Rayleigh channel in
oma_ser_jammed, matching the convention every simulated scheme already
used. Without it the closed-form curve faced a jammer at full power in
every frame while the Monte Carlo curves faced a fading one, which
inverted the ordering of the comparison.

Measure the outsider error rate for the fixed-key and naive-refresh
cases as well, and emit the two refresh tables from make_tables.py, so
no cell of the paper is hand-typed.
This commit is contained in:
KiHoLee
2026-08-13 22:22:18 +09:00
parent 057c555374
commit c31e6a3fe0
17 changed files with 192 additions and 61 deletions
+63
View File
@@ -645,6 +645,68 @@ def csv_rows(path):
yield from _csv.DictReader(f)
def oma_ser_jammed(snr_db, jsr_db_list, bits=16, U=4, n_grid=4096):
"""OMA under a jammer that concentrates on the victim's slots.
An OMA user occupies d/U exclusive real dimensions that are public,
so a jammer needs no key to put all of its power there. With unit
energy per real dimension and a total jammer energy of rho times the
frame energy, concentrating on d/U of the d dimensions gives a
per-dimension jammer variance of U*rho.
The jammer reaches the victim through its own Rayleigh channel, the
same convention eval_scheme uses for every simulated scheme, so the
victim sees an effective noise variance of 1/snr + U*rho*hJ**2 with
E[hJ**2]=1. Averaging over the independent signal and jammer gains
uses a product of exponential quantile grids.
"""
q = (torch.arange(n_grid, dtype=torch.float64) + 0.5) / n_grid
h2 = -torch.log1p(-q) # |h|^2 ~ Exp(1)
hj2 = h2.clone() # |hJ|^2 ~ Exp(1), independent
h = h2.sqrt()[:, None] # (n,1) signal amplitude
snr = 10.0 ** (snr_db / 10.0)
out = []
for jsr_db in jsr_db_list:
rho = 10.0 ** (jsr_db / 10.0)
var = (1.0 / snr + U * rho * hj2)[None, :] # (1,n)
arg = (h / var.sqrt()).clamp(0, 38)
pe = 0.5 * torch.erfc(arg / math.sqrt(2.0)) # per-bit error
out.append(float((1.0 - (1.0 - pe) ** bits).mean()))
return out
def stage_L():
"""Jamming comparison across schemes at 10 dB.
proposed blind : the strongest jammer the proposed scheme admits
while the key stays secret
public matched : the jammer a public-mask scheme always faces
permutation blind: the shuffling-style scheme, whose secret
permutation also denies the jammer a target
OMA targeted : the jammer an orthogonal scheme faces, since its
slot assignment is public and needs no key
"""
print("[L] jamming across schemes ...")
m = get_model(iters=4000)
F = 300_000
d = m.P * m.L
gp = torch.Generator().manual_seed(11)
perms = torch.randperm(d, generator=gp)[None].repeat(m.users, 1)
jsr = [-10.0, -5.0, 0.0, 5.0, 10.0, 15.0, 20.0]
oma = oma_ser_jammed(10.0, jsr, bits=int(math.log2(m.V)), U=m.users)
rows = []
for i, j in enumerate(jsr):
blind = eval_scheme(m, 10.0, F, jam_w="blind", jsr_db=j)
matched = eval_scheme(m, 10.0, F, jam_w="matched", jsr_db=j)
perm = eval_scheme(m, 10.0, F, perms=perms, jam_w="blind", jsr_db=j)
rows.append((j, blind, matched, perm, oma[i]))
print(f" JSR={j:6.1f} blind={blind:.4f} matched={matched:.4f} "
f"perm={perm:.4f} oma={oma[i]:.4f}")
write_csv(DATA / "sec_jam_cmp.csv",
["jsr_db", "blind", "matched", "perm_blind", "oma_targeted"],
rows)
def main():
print(f"device={DEVICE}")
stage_A()
@@ -655,6 +717,7 @@ def main():
stage_F()
stage_I()
stage_J()
stage_L()
print("[done] full-scale security CSVs in", DATA)