By exploiting noise as an information-bearing resource, noise-driven communication offers a promising framework for low-complexity and secure wireless system design. In this letter, the scheme of ternary noise modulation (T-NoiseMod) is proposed for noise-based wireless communication scenarios, where information is encoded into the statistical characteristics of artificial noise. Unlike conventional binary NoiseMod, which employs two variance levels, the proposed scheme introduces a third transmission state: intentional silence. By pairing two consecutive noise blocks, the signaling scheme is expanded to eight valid state combinations, enabling the transmission of three information bits per signaling interval. In our proposed scheme, the two-stage receiver is developed, consisting of mean-based silent-state detection followed by variance-based low/high classification. An analytical expression for the bit error probability (BEP) is derived for Rayleigh fading. Our computer simulation results match closely with our theoretical results and show the effects of key system parameters. Furthermore, comparisons with binary NoiseMod demonstrate the inherent trade-off between reliability and rate.