7 research outputs found
Asymptotics of Nonlinear LSE Precoders with Applications to Transmit Antenna Selection
This paper studies the large-system performance of Least Square Error (LSE)
precoders which~minimize~the~input-output distortion over an arbitrary support
subject to a general penalty function. The asymptotics are determined via the
replica method in a general form which encloses the Replica Symmetric (RS) and
Replica Symmetry Breaking (RSB) ans\"atze. As a result, the "marginal
decoupling property" of LSE precoders for -steps of RSB is derived. The
generality of the studied setup enables us to address special cases in which
the number of active transmit antennas are constrained. Our numerical
investigations depict that the computationally efficient forms of LSE precoders
based on "-norm" minimization perform close to the cases with
"zero-norm" penalty function which have a considerable improvements compared to
the random antenna selection. For the case with BPSK signals and restricted
number of active antennas, the results show that RS fails to predict the
performance while the RSB ansatz is consistent with theoretical bounds.Comment: 5 pages; 2 figures; to be presented at ISIT 201
Precoding via Approximate Message Passing with Instantaneous Signal Constraints
This paper proposes a low complexity precoding algorithm based on the
recently proposed Generalized Least Square Error (GLSE) scheme with generic
penalty and support. The algorithm iteratively constructs the transmit vector
via Approximate Message Passing (AMP). Using the asymptotic decoupling property
of GLSE precoders, we derive closed form fixed point equations to tune the
parameters in the proposed algorithm for a general set of instantaneous signal
constraints. The tuning strategy is then utilized to construct transmit vectors
with restricted peak-to-average power ratios and to efficiently select a subset
of transmit antennas. The numerical investigations show that the proposed
algorithm tracks the large-system performance of GLSE precoders even for a
moderate number of antennas.Comment: 2018 International Zurich Seminar on Information and Communication
(IZS) 5 pages and 2 figure