In this paper, we consider the single user communications through multiple transmitting and receiving antennas over the additive stationary Gaussian channel under input power constraints. We consider the problem of finding the feedback capacity of the aforementioned channel by utilizing the control theoretic interpretation of feedback communications. We connect the problem of finding the strictly causal filter to achieve the feedback capacity with the problem of finding stabilizing feedback controllers with maximum reliable transmission rate over Youla parameters. We then evaluate the asymptotic capacity achieving upper bounds by solving finite dimensional dual optimization problem. Optimal filter obtained from dual problem is then used to derive the sequence of lower bounds. Numerical example shows that the sequence of lower bounds and upper bounds are capacity achieving.
|Original language||English (US)|
|Title of host publication||2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||8|
|State||Published - Feb 5 2019|
|Event||56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018 - Monticello, United States|
Duration: Oct 2 2018 → Oct 5 2018
|Name||2018 56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018|
|Conference||56th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2018|
|Period||10/2/18 → 10/5/18|
Bibliographical noteFunding Information:
*This work was supported by NSF grants CNS-1239319 and CCF-1320643.
© 2018 IEEE.