χ² homogeneity tests on 70 audio signal pairs show that at SNR ≥ 25 dB the probability that a statistical test distinguishes modulated from original signals falls to 77.13% (i.e., the rate of successful discrimination is below 23%). Crucially, this analysis requires access to the original unmodulated signal; for live voice transmissions no such pairing is feasible for the censor, rendering statistical detection unrealizable in practice.
From 2016-kohls-skypeline — SkypeLine: Robust Hidden Data Transmission for VoIP
· §6.3.2, Table 6
· 2016
· ASIA Computer and Communications Security
Implications
Use live, unpredictable voice recordings as the carrier medium rather than pre-recorded audio — this eliminates the censor's ability to obtain an unmodulated reference sample for χ² pairing, collapsing the strongest available statistical attack.
Operate at SNR ≥ 25 dB as a firm floor; the paper shows discrimination success jumps sharply below this threshold, so any throughput optimizations that push SNR below 25 dB reintroduce detectable statistical artifacts.