🤖 AI Summary
This work addresses the challenge of joint channel estimation and data detection (JED) in orthogonal delay-Doppler multiplexing (ODDM) systems operating over doubly selective channels. It introduces, for the first time, the orthogonal approximate message passing (OAMP) framework to ODDM-based JED. By formulating a bilinear cross-domain model and decomposing it into separate channel estimation and data detection subproblems, two OAMP modules are designed to iteratively alternate between these tasks. A variational noise coupling mechanism is incorporated to mitigate error propagation, and a novel closed-form scalar variance update rule—based on error orthogonality—is proposed to enable efficient and reliable soft information exchange. Experimental results demonstrate that the proposed scheme significantly reduces bit error rates in both uncoded and coded ODDM systems, achieving performance closely approaching that of an ideal OAMP receiver with perfect channel state information.
📝 Abstract
In this work, to address the challenge of joint channel estimation and data detection (JED) for orthogonal delay-Doppler (DD) division multiplexing (ODDM) in doubly selective channels, we propose an orthogonal approximate message passing (OAMP)-aided JED (OAMP-JED) receiver. We first formulate a bilinear cross-domain JED model, which can be linearized into separate channel estimation and data detection subproblems. The proposed OAMP-JED receiver alternately executes two OAMP modules for these subproblems, effectively coupled through a variational noise term to account for model uncertainty. Leveraging OAMP's error orthogonality, we derive closed-form scalar-variance updates to enable efficient and principled soft information exchange between the modules, thereby mitigating error propagation during JED. Simulation results show that, for both uncoded and coded ODDM, OAMP-JED achieves a lower bit error rate (BER) than benchmark schemes. Moreover, its BER performance closely approaches that of OAMP with perfect CSI.