19 research outputs found
Multi-Antenna Cooperative Wireless Systems: A Diversity-Multiplexing Tradeoff Perspective
We consider a general multiple antenna network with multiple sources,
multiple destinations and multiple relays in terms of the
diversity-multiplexing tradeoff (DMT). We examine several subcases of this most
general problem taking into account the processing capability of the relays
(half-duplex or full-duplex), and the network geometry (clustered or
non-clustered). We first study the multiple antenna relay channel with a
full-duplex relay to understand the effect of increased degrees of freedom in
the direct link. We find DMT upper bounds and investigate the achievable
performance of decode-and-forward (DF), and compress-and-forward (CF)
protocols. Our results suggest that while DF is DMT optimal when all terminals
have one antenna each, it may not maintain its good performance when the
degrees of freedom in the direct link is increased, whereas CF continues to
perform optimally. We also study the multiple antenna relay channel with a
half-duplex relay. We show that the half-duplex DMT behavior can significantly
be different from the full-duplex case. We find that CF is DMT optimal for
half-duplex relaying as well, and is the first protocol known to achieve the
half-duplex relay DMT. We next study the multiple-access relay channel (MARC)
DMT. Finally, we investigate a system with a single source-destination pair and
multiple relays, each node with a single antenna, and show that even under the
idealistic assumption of full-duplex relays and a clustered network, this
virtual multi-input multi-output (MIMO) system can never fully mimic a real
MIMO DMT. For cooperative systems with multiple sources and multiple
destinations the same limitation remains to be in effect.Comment: version 1: 58 pages, 15 figures, Submitted to IEEE Transactions on
Information Theory, version 2: Final version, to appear IEEE IT, title
changed, extra figures adde
A Secure Communication Game with a Relay Helping the Eavesdropper
In this work a four terminal complex Gaussian network composed of a source, a
destination, an eavesdropper and a jammer relay is studied under two different
set of assumptions: (i) The jammer relay does not hear the source transmission,
and (ii) The jammer relay is causally given the source message. In both cases
the jammer relay assists the eavesdropper and aims to decrease the achievable
secrecy rates. The source, on the other hand, aims to increase it. To help the
eavesdropper, the jammer relay can use pure relaying and/or send interference.
Each of the problems is formulated as a two-player, non-cooperative, zero-sum
continuous game. Assuming Gaussian strategies at the source and the jammer
relay in the first problem, the Nash equilibrium is found and shown to be
achieved with mixed strategies in general. The optimal cumulative distribution
functions (cdf) for the source and the jammer relay that achieve the value of
the game, which is the Nash equilibrium secrecy rate, are found. For the second
problem, the Nash equilibrium solution is found and the results are compared to
the case when the jammer relay is not informed about the source message.Comment: 13 pages, 11 figures, to appear in IEEE Transactions on Information
Forensics and Security, Special Issue on Using the Physical Layer for
Securing the Next Generation of Communication Systems. This is the journal
version of cs.IT:0911.008
Capacity of All Nine Models of Channel Output Feedback for the Two-user Interference Channel
In this paper, we study the impact of different channel output feedback
architectures on the capacity of the two-user interference channel. For a
two-user interference channel, a feedback link can exist between receivers and
transmitters in 9 canonical architectures (see Fig. 2), ranging from only one
feedback link to four feedback links. We derive the exact capacity region for
the symmetric deterministic interference channel and the constant-gap capacity
region for the symmetric Gaussian interference channel for all of the 9
architectures. We show that for a linear deterministic symmetric interference
channel, in the weak interference regime, all models of feedback, except the
one, which has only one of the receivers feeding back to its own transmitter,
have the identical capacity region. When only one of the receivers feeds back
to its own transmitter, the capacity region is a strict subset of the capacity
region of the rest of the feedback models in the weak interference regime.
However, the sum-capacity of all feedback models is identical in the weak
interference regime. Moreover, in the strong interference regime all models of
feedback with at least one of the receivers feeding back to its own transmitter
have the identical sum-capacity. For the Gaussian interference channel, the
results of the linear deterministic model follow, where capacity is replaced
with approximate capacity.Comment: submitted to IEEE Transactions on Information Theory, results
improved by deriving capacity region of all 9 canonical feedback models in
two-user interference channe
Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay
In this work, we investigate the diversity-multiplexing tradeoff (DMT) of the
multiple-antenna (MIMO) static half-duplex relay channel. A general expression
is derived for the DMT upper bound, which can be achieved by a
compress-and-forward protocol at the relay, under certain assumptions. The DMT
expression is given as the solution of a minimization problem in general, and
an explicit expression is found when the relay channel is symmetric in terms of
number of antennas, i.e. the source and the destination have n antennas each,
and the relay has m antennas. It is observed that the static half-duplex DMT
matches the full-duplex DMT when the relay has a single antenna, and is
strictly below the full-duplex DMT when the relay has multiple antennas.
Besides, the derivation of the upper bound involves a new asymptotic study of
spherical integrals (that is, integrals with respect to the Haar measure on the
unitary group U(n)), which is a topic of mathematical interest in itself.Comment: 19 pages, 2 figures, submitted to the IEEE Transactions on
Information Theor
Faster-than-Nyquist Signaling for MIMO Communications
Faster-than-Nyquist (FTN) signaling is a non-orthogonal transmission
technique, which has the potential to provide significant spectral efficiency
improvement. This paper studies the capacity of FTN signaling for both
frequency-flat and for frequency-selective multiple-input multiple-output
(MIMO) channels. We show that precoding in time and waterfilling in space is
capacity achieving for frequency-flat MIMO FTN. For frequency-selective fading,
joint waterfilling in time, space and frequency is required.Comment: Have been submitted to IEEE transactions on wireless communication
Capacity Region of Asynchronous Multiple Access Channels with FTN
This paper studies the capacity region of asynchronous multiple access
channel (MAC) with faster-thanNyquist (FTN) signaling. We first express the
capacity region in the frequency domain. Next, we calculate an achievable rate
region in time domain and prove that it is identical to the capacity region
calculated in the frequency domain. Our analysis confirms that asynchronous
transmission and FTN bring in significant gains