A novel modulation scheme, called carrier mode shift keying (CMSK), is proposed. The information is conveyed through both constellation modulation and the parameter map of the weighted-type fractional Fourier transform (WFRFT). It enables additional information transmission without incremental resources. To reduce the complexity associated with the detection of additional information, a non-linear information detection algorithm based on statistical features is proposed. The simulations demonstrate that, at the same signal-to-noise ratio (SNR), the transmission of additional information exhibits higher reliability compared to the conventional transmission of modulated information. This concept of hierarchical transmission of information based on reliability will show potential for superior performance in specific scenarios.