Method of simultaneous transmission to coherent and non-coherent receivers using ternary sequences

In this paper, we explore a method for simultaneous tranmission to coherent and non-coherent receivers, based on ternary sequences. In many communication scenarios, the transmitters are required to support both coherent and non-coherent forms of reception thereby requiring the transmission protocols to be designed such that the transmitted data is decoded reliably at both coherent and non-coherent receivers. Further, in such scenarios, for practical purposes, the transmitter is assumed to be agnostic to the type of the intended receiver, making the design more challenging. Thus motivated, we propose a transmission mechanism for simultaneous reception by coherent and noncoherent receivers. This transmission is enabled by ternary codes, i.e., codes over the ternary alphabet: {-1, 0, +1}. The design of these ternary codes, which exhibit good correlation properties for both coherent and non-coherent reception is a major contribution of this paper. Simulation results show that the proposed codes provide almost similar performance as the optimal codes meant for the respective receiver types.