Performance Analysis of OAMP Detection for ODDM Modulation in Satellite Communications

Towards future 6G wireless networks, low earth orbit (LEO) satellites have been widely considered as a promising component to enhance the terrestrial communications. To ensure the link reliability of high-mobility satellite communication scenarios, the emerging orthogonal delay-Doppler division multiplexing (ODDM) modulation has attracted significant research attention. In this paper, we study the diversity gain achieved by ODDM modulation along with the mathematical analysis and numerical simulations. Additionally, we propose an orthogonal approximate message passing (OAMP) algorithm based detector to harvest the diversity gain promised by ODDM modulation. By operating the linear and non-linear estimator iteratively, the orthogonal approximate message passing (OAMP) detector can utilize the sparsity of the effective delay-Doppler (DD) domain channel and extract the full diversity. Simulation results reveal the relationship between diversity gain and system parameters, and demonstrate that our proposed detector can achieve better performance than the conventional message passing methods with significantly reduced complexity.