Ergodic Fading MIMO Dirty Paper and Broadcast Channels: Capacity Bounds and Lattice Strategies

A multiple-input multiple-output (MIMO) version of the dirty paper channel is studied, where the channel input and the dirt experience the same fading process, and the fading channel state is known at the receiver. This represents settings where signal and interference sources are co-located, such a...

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Bibliographic Details
Published in:IEEE transactions on wireless communications Vol. 16; no. 8; pp. 5525 - 5536
Main Authors: Hindy, Ahmed, Nosratinia, Aria
Format: Journal Article
Language:English
Published: New York IEEE 01.08.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Antennas
broadcast channels
Broadcasting
channels with state
Coding
Communication channels
Decoding
Dirt
Dirty paper channel
Encoding
Ergodic capacity
Ergodic processes
Fading
Fading channels
lattice codes
Lattices
MIMO
Receivers
Superposition (mathematics)
Transmitters
ISSN:1536-1276, 1558-2248
Online Access:Get full text
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Summary:A multiple-input multiple-output (MIMO) version of the dirty paper channel is studied, where the channel input and the dirt experience the same fading process, and the fading channel state is known at the receiver. This represents settings where signal and interference sources are co-located, such as in the broadcast channel. First, a variant of Costa's dirty paper coding is presented, whose achievable rates are within a constant gap to capacity for all signal and dirt powers. In addition, a lattice coding and decoding scheme is proposed, whose decision regions are independent of the channel realizations. Under Rayleigh fading, the gap to capacity of the lattice coding scheme vanishes with the number of receive antennas, even at finite Signal-to-Noise Ratio (SNR). Thus, although the capacity of the fading dirty paper channel remains unknown, this paper shows it is not far from its dirt-free counterpart. The insights from the dirty paper channel directly lead to transmission strategies for the two-user MIMO broadcast channel, where the transmitter emits a superposition of desired and undesired (dirt) signals with respect to each receiver. The performance of the lattice coding scheme is analyzed under different fading dynamics for the two users, showing that high-dimensional lattices achieve rates close to capacity.
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ISSN:1536-1276
1558-2248
DOI:10.1109/TWC.2017.2712631