On the Capacity of Gaussian MIMO Channels With Memory

The operational capacity of Gaussian MIMO channels with memory was obtained by Brandenburg and Wyner (1974) under certain mild assumptions on the channel impulse response its noise covariance matrix, which essentuially require to be not too strong. This also considered Tsybakov (2006) information in some cases. It further conjectured, based numerical evidence, that these capacities are same all conjecture is proved here. An explicit closed-form expression for optimal input power spectral density matrix given. result extended case joint constraints, including per-antenna interference constraints as well energy harvesting constraints. These results imply information-theoretic optimality OFDM-type transmission systems such memory.