This paper proposes a sub-signal channel modulation scheme for hitless redundancy switching systems that offers highly confidential communications. A hitless redundancy switching system prevents frame loss by using multiple routes to forward the same frame. Although most studies on redundancy switching systems deal with frame duplication, elimination, and selection of redundant paths for the main signal, we focus on the transmission of the sub-signal channel. We introduce mathematical expressions to model the transmission rate and bit error rate of the sub-signal channel. To evaluate the validity of the models, we conduct numerical simulations to calculate the sub-signal transmission rate, main-signal transmission rate, and bit error rate of the sub-signal channel at physical transmission rates of 100Mb/s, 1Gb/s, and 10Gb/s. We discuss how to design sub-signal channel modulation on the basis of the evaluation results. We further discuss applications of sub-signal modulation in terms of network size and jitter.