Double Directional Wireless Channel Generation: A Statistics-Informed Generative Approach

Channel models that represent various operating conditions a communication system might experience are important for design and standardization of any communication system. While statistical channel models have long dominated this space, machine learning (ML) is becoming a popular alternative approach. However, existing approaches have mostly focused on predictive solutions to match instantaneous channel realizations. Other solutions have focused on pathloss modeling, while double-directional (DD) channel representation is needed for a complete description. Motivated by this, we (a) develop a generative solution that uses a hybrid Transformer (hTransformer) model with a low-rank projected attention calculation mechanism and a bi-directional long short-term memory (BiLSTM) layer to generate complete DD channel information and (b) design a domain-knowledge-informed training method to match the generated and true channel realizations' statistics. Our extensive simulation results validate that the generated samples' statistics closely align with the true statistics while mostly outperforming the performance of existing predictive approaches.