A Novel Transmitter-Based Selective-Precoding
Technique for DS/CDMA systems
C. Masouros and E. Alsusa
School of Electrical & Electronic Engineering
The University of Manchester
Manchester, UK
email: Chris.Masouros@postgrad.manchester.ac.uk, E.Alsusa@manchester.ac.uk
Abstract— In this paper a new transmitter precoding technique
is presented that outperforms conventional precoding by making
use of a portion of the interference between the users in a CDMA
system downlink. The proposed technique selectively pre-
decorrelates users that are experiencing destructive interference
while allowing interference to other users when it is expected to
contribute to their signal. The existence and exploitation of
constructive interference effectively spreads the signal
constellation and enhances the SNR at the receiver. The SNR
improvement happens by making use of energy that is already in
the system so the performance improvement is attained with no
additional power-per-user investment. This however comes with
the trade-off of some extra processing at the transmitter for the
measurement of the expected interference. The proposed
technique applies to the downlink of cellular CDMA systems
employing PSK modulation. Theoretical analysis supported by
comparative simulations of this and other precoding methods are
presented and discussed.
Keywords—Adaptive signal processing, code division multi-
access, interference multiuser channels, suppression
I. INTRODUCTION
The capacity of a code-division multiple-access (CDMA)
system is limited by multiple access interference (MAI) from
other users as well as intersymbol interference (ISI) between
the symbols of the user of interest due to the frequency
selectivity of the transmission medium. Multiuser Detection
(MUD) techniques are traditionally used to mitigate these
effects and improve the performance and capacity of CDMA
systems. In order for complexity reduction at the Mobile Units
(MUs) of a CDMA communication system, the current trend is
towards transferring the computational burden to the Base
Station (BS) by use of precoding techniques for the downlink
transmission. Various methods have been proposed towards
this end following an initial idea introduced in [1] applicable to
general pulse amplitude modulation (PAM) systems. In [2] the
authors propose transferring the Rake processing to the BS
which yields the Pre-Rake technique. This technique’s main
advantage is that matched filtering (MF) is applied for
detection which alleviates the need for channel estimation and
removes a significant burden from the MU. However, this is
primarily a single user detection (SUD) technique so
performance is poor in a multiuser scenario. The authors in [3]
propose a system similar to the conventional receiver-based
decorellator-detector where the decorrelation procedure
happens at the BS prior to transmission. The orthogonalization
of the users comes with an increase in transmitted energy
which calls for either scaling of the signal to be transmitted or
applying constrained optimization in order for the power
limitation to be maintained. Both these techniques are
investigated in [3]. An improvement is attained by applying the
decorrelating procedure in [4]. This optimization leads to the
use of a decorrelation scheme that also employs Pre-Rake
processing. This method offers both the benefits of pre-
decorrelation as well as the advantages of Pre-Rake over the
Rake technique as explained in [2]. The decorrelating methods
introduced in [3,4] are blockwise, which results in a high
computational complexity. In aim of mitigation of this defect,
the authors in [5] propose a zero forcing bitwise decorrelating
technique that has comparable performance when the ISI is
limited by use of guard intervals. When severe multipath is
introduced, however, the performance rapidly deteriorates. An
improved bitwise technique using minimum mean square error
(MMSE) optimization is presented in [6] that achieves
performance comparable to [3,4] while maintaining reasonable
computational complexity.
In this paper an improvement of the Transmitter
Precoding (TP) and Joint Transmission (JT) techniques in [3,4]
respectively is suggested which takes advantage of the
constructive interference concept applicable in PSK modulation
that will be analyzed below. The system analysis follows the
one presented in [3]. In contrast to the TP and JT techniques
where the users are fully orthogonalized, we propose a partial
orthogonalization by means of pre-decorrelation, orientated to
the users that are expected to suffer from destructive MAI. This
reduces complexity and yields an increased signal to noise ratio
(SNR) at the receiver. It should be noted that this technique is
applicable to both the TP and JT methods irrespective of
whether scaling or constrained optimization are used, assuming
phase shift keying (PSK) modulation where the constructive
MAI concept stands. In this paper unconstrained optimization
followed by scaling is investigated.
II. CONSTRUCTIVE MAI DERIVATION FOR PSK
MODULATION
A. Downlink Signal Model and Constructive MAI Definition
Consider the downlink transmission in a discrete-time
synchronous frequency selective CDMA system of K users,
where the channels’ path delays are assumed to be an integer
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This full text paper was peer reviewed at the direction of IEEE Communications Society subject matter experts for publication in the ICC 2007 proceedings.