Formulating the Net Gain of SISO-SFN in the Presence of Erasure Effect

In this paper, an analytical formula for the net gain of single-input single-output single frequency network (SISO-SFN) is derived. In order to formulate the net SISO-SFN gain (SISO-SFNG), we derive the average signal to noise ratio, where the SFN gain is calculated by the aggregate power sum as a function of the power imbalance, whereas the SFN loss is calculated by a two-term exponential model from a curve fitting as a function of the erasure probability, modulation order, and code rate. The accuracy and effectiveness of the derived formula are verified by comparing the measurement results with the analytical results. The derived formula helps to rationalize why the net gain is positive or negative under a given condition, e.g., a negative net gain is obtained if the power imbalance exceeds the erasure-free limit. The formula would be very useful to predict more realistic and accurate service coverage of SISO-SFN for various system configurations.