6,848 research outputs found
On the Dirty Paper Channel with Fast Fading Dirt
Costa`s "writing on dirty paper" result establishes that full state
pre-cancellation can be attained in the Gel`fand-Pinsker problem with additive
state and additive white Gaussian noise. This result holds under the
assumptions that full channel knowledge is available at both the transmitter
and the receiver. In this work we consider the scenario in which the state is
multiplied by an ergodic fading process which is not known at the encoder. We
study both the case in which the receiver has knowledge of the fading and the
case in which it does not: for both models we derive inner and outer bounds to
capacity and determine the distance between the two bounds when possible. For
the channel without fading knowledge at either the transmitter or the receiver,
the gap between inner and outer bounds is finite for a class of fading
distributions which includes a number of canonical fading models. In the
capacity approaching strategy for this class, the transmitter performs Costa`s
pre-coding against the mean value of the fading times the state while the
receiver treats the remaining signal as noise. For the case in which only the
receiver has knowledge of the fading, we determine a finite gap between inner
and outer bounds for two classes of discrete fading distribution. The first
class of distributions is the one in which there exists a probability mass
larger than one half while the second class is the one in which the fading is
uniformly distributed over values that are exponentially spaced apart.
Unfortunately, the capacity in the case of a continuous fading distribution
remains very hard to characterize
Capacity Gain from Two-Transmitter and Two-Receiver Cooperation
Capacity improvement from transmitter and receiver cooperation is
investigated in a two-transmitter, two-receiver network with phase fading and
full channel state information available at all terminals. The transmitters
cooperate by first exchanging messages over an orthogonal transmitter
cooperation channel, then encoding jointly with dirty paper coding. The
receivers cooperate by using Wyner-Ziv compress-and-forward over an analogous
orthogonal receiver cooperation channel. To account for the cost of
cooperation, the allocation of network power and bandwidth among the data and
cooperation channels is studied. It is shown that transmitter cooperation
outperforms receiver cooperation and improves capacity over non-cooperative
transmission under most operating conditions when the cooperation channel is
strong. However, a weak cooperation channel limits the transmitter cooperation
rate; in this case receiver cooperation is more advantageous.
Transmitter-and-receiver cooperation offers sizable additional capacity gain
over transmitter-only cooperation at low SNR, whereas at high SNR transmitter
cooperation alone captures most of the cooperative capacity improvement.Comment: Accepted for publication in IEEE Transactions on Information Theor
The Impact of CSI and Power Allocation on Relay Channel Capacity and Cooperation Strategies
Capacity gains from transmitter and receiver cooperation are compared in a
relay network where the cooperating nodes are close together. Under
quasi-static phase fading, when all nodes have equal average transmit power
along with full channel state information (CSI), it is shown that transmitter
cooperation outperforms receiver cooperation, whereas the opposite is true when
power is optimally allocated among the cooperating nodes but only CSI at the
receiver (CSIR) is available. When the nodes have equal power with CSIR only,
cooperative schemes are shown to offer no capacity improvement over
non-cooperation under the same network power constraint. When the system is
under optimal power allocation with full CSI, the decode-and-forward
transmitter cooperation rate is close to its cut-set capacity upper bound, and
outperforms compress-and-forward receiver cooperation. Under fast Rayleigh
fading in the high SNR regime, similar conclusions follow. Cooperative systems
provide resilience to fading in channel magnitudes; however, capacity becomes
more sensitive to power allocation, and the cooperating nodes need to be closer
together for the decode-and-forward scheme to be capacity-achieving. Moreover,
to realize capacity improvement, full CSI is necessary in transmitter
cooperation, while in receiver cooperation optimal power allocation is
essential.Comment: Accepted for publication in IEEE Transactions on Wireless
Communication
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