Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2013.2272012
Title: Capacity region of the asynchronous gaussian vector multiple-access channel
Authors: Chong, H.-F.
Motani, M. 
Keywords: Asynchronous
capacity region
channels with memory
Gaussian multiple access channel (MAC)
group power constraints
numerical computation
orthonormal waveforms
Issue Date: 2013
Source: Chong, H.-F., Motani, M. (2013). Capacity region of the asynchronous gaussian vector multiple-access channel. IEEE Transactions on Information Theory 59 (9) : 5398-5420. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2013.2272012
Abstract: In this paper, we derive explicit expressions for the capacity region of the two-user symbol-asynchronous Gaussian vector multiple-access channel. Verdú considered the case where each user linearly modulates a fixed waveform in each symbol period, where the symbol periods for the users are not perfectly aligned at the receiver. He derived explicit capacity region expressions for the case where the transmitters have knowledge of the mutual offset and also for the case where the transmitters have no knowledge of the mutual offset. In this paper, we extend Verdú's results to allow each user to linearly modulate a set of orthonormal waveforms, instead of a single waveform, in each symbol period and with no restrictions imposed on the waveforms. We consider group power constraints, which include individual sum power constraints, as orthonormal waveforms assigned to each user may come from different frequency bands with different power constraints. Similar to the case where each user is allowed to linearly modulate only a single waveform, our results hold regardless of whether or not the transmitters are frame synchronous. In addition, we present some results that are necessary to numerically compute the capacity region expressions with general purpose convex optimization algorithms. Next, we simplify the capacity region expression when there are only individual sum power constraints and when the transmitters know the mutual offset. We also prove a sufficient condition for a similar simplification to hold when the transmitters have no knowledge of the mutual offset. Finally, we consider a specialized algorithm to numerically compute the simplified capacity region expression when the transmitters know the mutual offset. © 1963-2012 IEEE.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/55251
ISSN: 00189448
DOI: 10.1109/TIT.2013.2272012
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

SCOPUSTM   
Citations

1
checked on Dec 6, 2017

Page view(s)

26
checked on Dec 10, 2017

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.