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On the Capacity of Multiple Input Multiple Output Broadcast Channels (2002)
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| Venue: | In Proceedings of Int. Conf. Commun |
| Citations: | 52 - 9 self |
BibTeX
@INPROCEEDINGS{Vishwanath02onthe,
author = {Sriram Vishwanath and Nihar Jindal and Andrea Goldsmith},
title = {On the Capacity of Multiple Input Multiple Output Broadcast Channels},
booktitle = {In Proceedings of Int. Conf. Commun},
year = {2002},
pages = {1444--1450}
}
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Abstract
We consider a two-user multiple input multiple output (MIMO) Gaussian broadcast channel (BC), where the transmitter has t transmit antennas and receivers have r1 ; r2 antennas respectively. Since the MIMO broadcast channel is in general a non-degraded broadcast channel, its capacity region remains an unsolved problem. In this paper, we establish a duality between what is termed the \dirty paper" region (or the Costa-Caire-Shamai-Yu achievable region) [5, 7] for the MIMO broadcast channel and the capacity region of the the MIMO multiple-access channel (MAC), which is easy to compute. Using this duality, we greatly reduce the computation complexity required for obtaining the dirty paper achievable region for the MIMO BC. The duality also enables us to translate previously known results for the MIMO MAC (like iterative waterlling [7]) to the MIMO BC. We show that the dirty paper achievable region achieves the sum-rate capacity of the MIMO BC by establishing that the sum-rate point in this region equals an upper-bound on the sum rate of the MIMO BC. I.
Keyphrases
mimo bc dirty paper achievable region capacity region mimo broadcast channel transmit antenna unsolved problem sum rate gaussian broadcast channel costa-caire-shamai-yu achievable region two-user multiple input multiple output sum-rate capacity sum-rate point dirty paper region computation complexity mimo mac mimo multiple-access channel non-degraded broadcast channel
