Sum-rate of MIMO broadcast channels with one bit feedback
Document Type
Conference Proceeding
Publication Date
12-1-2006
Abstract
The sum-capacity of a multi-antenna broadcast Gaussian channel is known to be achieved by Dirty Paper Coding techniques, or, asymptotically in the number of users n, by beamforming methods, that require full channel state information at the base station. Based on the opportunistic beamforming principle, it has been recently shown that the optimal scaling law of the sum-rate with respect to n, for fixed signal to noise ratio and number of transmitting antennas M, (i.e., M log log n) can be achieved by employing a feedback of only one real and one integer number per user. Moreover, it was proved that a linear scaling with respect of M can be guaranteed only if M scales no faster than logrt. In this paper, the optimal scaling law of the sum-rate with respect to n is proved to be achievable with only one bit of feedback per user. The proof builds on opportunistic beamforming and binary quantization of the signal to noise plus interference ratio. Moreover, the linear scaling of the sum-rate with M is demonstrated to hold for M growing no faster than logrt even with such a reduced feedback. Finally, the results above are extended to the MIMO case, where each user is equipped with multiple antennas. © 2006 IEEE.
Identifier
38549108061 (Scopus)
ISBN
[1424405041, 9781424405046]
Publication Title
IEEE International Symposium on Information Theory Proceedings
External Full Text Location
https://doi.org/10.1109/ISIT.2006.261820
ISSN
21578101
First Page
1944
Last Page
1948
Recommended Citation
Diaz, Jordi; Simeone, Osvaldo; and Bar-Ness, Yeheskel, "Sum-rate of MIMO broadcast channels with one bit feedback" (2006). Faculty Publications. 18555.
https://digitalcommons.njit.edu/fac_pubs/18555
