LAUSR

This letter investigates the achievable rate of multi-stream spatiotemporal channel coding (STCC-MS) with linear receivers. We first establish the transmission model of STCC-MS and explore the interference-canceling (IC) and noise-whitening (NW) receivers. The design of the former draws on the zero-forcing (ZF) concept from traditional temporal channel coding (TCC), while the latter resembles the minimum mean square error (MMSE) receiver in TCC. We then investigate the achievable rate of STCC-MS-IC and STCC-MS-NW, where the former lacks a closed-form expression and the latter admits one. Further, assuming column orthogonality in channel matrix, we prove that STCC-MS-NW outperforms TCC-MMSE in both capacity and rate, and further establish that in the high-SNR regime its achievable rate decreases as the number of streams increases. Due to the channel hardening effect, simulation results without enforcing orthogonality confirm these findings, and show that STCC-MS-IC exhibits the same trends.