238 research outputs found
Power Allocation in MIMO Wiretap Channel with Statistical CSI and Finite-Alphabet Input
In this paper, we consider the problem of power allocation in MIMO wiretap
channel for secrecy in the presence of multiple eavesdroppers. Perfect
knowledge of the destination channel state information (CSI) and only the
statistical knowledge of the eavesdroppers CSI are assumed. We first consider
the MIMO wiretap channel with Gaussian input. Using Jensen's inequality, we
transform the secrecy rate max-min optimization problem to a single
maximization problem. We use generalized singular value decomposition and
transform the problem to a concave maximization problem which maximizes the sum
secrecy rate of scalar wiretap channels subject to linear constraints on the
transmit covariance matrix. We then consider the MIMO wiretap channel with
finite-alphabet input. We show that the transmit covariance matrix obtained for
the case of Gaussian input, when used in the MIMO wiretap channel with
finite-alphabet input, can lead to zero secrecy rate at high transmit powers.
We then propose a power allocation scheme with an additional power constraint
which alleviates this secrecy rate loss problem, and gives non-zero secrecy
rates at high transmit powers
Secure Transmission with Multiple Antennas II: The MIMOME Wiretap Channel
The capacity of the Gaussian wiretap channel model is analyzed when there are
multiple antennas at the sender, intended receiver and eavesdropper. The
associated channel matrices are fixed and known to all the terminals. A
computable characterization of the secrecy capacity is established as the
saddle point solution to a minimax problem. The converse is based on a
Sato-type argument used in other broadcast settings, and the coding theorem is
based on Gaussian wiretap codebooks.
At high signal-to-noise ratio (SNR), the secrecy capacity is shown to be
attained by simultaneously diagonalizing the channel matrices via the
generalized singular value decomposition, and independently coding across the
resulting parallel channels. The associated capacity is expressed in terms of
the corresponding generalized singular values. It is shown that a semi-blind
"masked" multi-input multi-output (MIMO) transmission strategy that sends
information along directions in which there is gain to the intended receiver,
and synthetic noise along directions in which there is not, can be arbitrarily
far from capacity in this regime.
Necessary and sufficient conditions for the secrecy capacity to be zero are
provided, which simplify in the limit of many antennas when the entries of the
channel matrices are independent and identically distributed. The resulting
scaling laws establish that to prevent secure communication, the eavesdropper
needs 3 times as many antennas as the sender and intended receiver have
jointly, and that the optimimum division of antennas between sender and
intended receiver is in the ratio of 2:1.Comment: To Appear, IEEE Trans. Information Theor
Power Allocation and Time-Domain Artificial Noise Design for Wiretap OFDM with Discrete Inputs
Optimal power allocation for orthogonal frequency division multiplexing
(OFDM) wiretap channels with Gaussian channel inputs has already been studied
in some previous works from an information theoretical viewpoint. However,
these results are not sufficient for practical system design. One reason is
that discrete channel inputs, such as quadrature amplitude modulation (QAM)
signals, instead of Gaussian channel inputs, are deployed in current practical
wireless systems to maintain moderate peak transmission power and receiver
complexity. In this paper, we investigate the power allocation and artificial
noise design for OFDM wiretap channels with discrete channel inputs. We first
prove that the secrecy rate function for discrete channel inputs is nonconcave
with respect to the transmission power. To resolve the corresponding nonconvex
secrecy rate maximization problem, we develop a low-complexity power allocation
algorithm, which yields a duality gap diminishing in the order of
O(1/\sqrt{N}), where N is the number of subcarriers of OFDM. We then show that
independent frequency-domain artificial noise cannot improve the secrecy rate
of single-antenna wiretap channels. Towards this end, we propose a novel
time-domain artificial noise design which exploits temporal degrees of freedom
provided by the cyclic prefix of OFDM systems {to jam the eavesdropper and
boost the secrecy rate even with a single antenna at the transmitter}.
Numerical results are provided to illustrate the performance of the proposed
design schemes.Comment: 12 pages, 7 figures, accepted by IEEE Transactions on Wireless
Communications, Jan. 201
Semantically Secure Lattice Codes for Compound MIMO Channels
We consider compound multi-input multi-output (MIMO) wiretap channels where
minimal channel state information at the transmitter (CSIT) is assumed. Code
construction is given for the special case of isotropic mutual information,
which serves as a conservative strategy for general cases. Using the flatness
factor for MIMO channels, we propose lattice codes universally achieving the
secrecy capacity of compound MIMO wiretap channels up to a constant gap
(measured in nats) that is equal to the number of transmit antennas. The
proposed approach improves upon existing works on secrecy coding for MIMO
wiretap channels from an error probability perspective, and establishes
information theoretic security (in fact semantic security). We also give an
algebraic construction to reduce the code design complexity, as well as the
decoding complexity of the legitimate receiver. Thanks to the algebraic
structures of number fields and division algebras, our code construction for
compound MIMO wiretap channels can be reduced to that for Gaussian wiretap
channels, up to some additional gap to secrecy capacity.Comment: IEEE Trans. Information Theory, to appea
- …