Space-Time-Frequency Spreading and Coding for
Multi-User MIMO-OFDM Systems
Haysam Dahman, Y. Shayan, and X. Wang
Department of Electrical Engineering,
Concordia University,
Montreal, Quebec
Email: {h dahman,yshayan,xfwang}@ece.concordia.ca
Abstract—In this paper, we propose a multiple-input-multiple-
output, orthogonal frequency division multiplexing, code-division
multiple-access (MIMO OFDM-CDMA) scheme. The main ob-
jective is to provide extra flexibility in user multiplexing, and
offer better diversity/multi-user-multiplexing tradeoff. This is
done by spreading on all the signal domains; i.e, space-time-
frequency spreading is employed to transmit users’ signals. Our
study and simulation results show that MIMO OFDM-CDMA is
capable of flexible data rates and easy user multiplexing, while
simultaneously suppressing the multi-user interfering signals. In
addition, our scheme achieve a diversity gain significantly larger
than that of the conventional 2-D CDMA OFDM scheme.
I. I NTRODUCTION
Modern broadband wireless systems must support multime-
dia services of a wide range of data rates with reasonable
complexity, flexible multi-rate adaptation, and efficient multi-
user multiplexing and detection. Channel fading is one of
the major issues in wireless communications that degrades
the performance, if not appropriately addressed [1]. An ef-
ficient technique of combating fading effects is the use of
OFDM-CDMA [2]. Various OFDM-CDMA schemes have
been proposed and can be mainly categorized into two groups
according to code spreading direction [3], [4], [2], [5]. One
is to spread the original data stream in the frequency domain;
and the other is to spread in the time domain.
The key issue in designing an efficient system, is to combine
the benefits of both spreading in time and frequency domains
to develop a scheme that has the potential of maximizing
achievable diversity in a multiple-rate, multiple-access envi-
ronment. In [6], it has been proposed a novel joint time-
frequency 2-dimensional (2D) spreading method for OFDM-
CDMA systems, which can offer not only time diversity but
also frequency diversity at the receiver efficiently. Each user
will be allocated one orthogonal code and spread its infor-
mation data over the frequency and time domain uniformly.
In this work, it was not mentioned how this approach will
perform in a MIMO environment, specially in a downlink
transmission. On the other hand, in [7], it was proposed a
technique, called space-time spreading (STS), that improves
the downlink performance, however they do not consider the
multi-user interference problem at all. It was assumed that
orthogonality between users can somehow be achieved, but
as we will show in this paper, this is a condition that is not
trivially realized in general, as it was not mentioned what is the
maximum number of users that can be accommodated by this
spreading technique. Also, in [8], multicarrier direct-sequence
code-division multiple-access (MC DS-CDMA) using STS
was proposed. This scheme shows good BER performance
with small number of users and it was not clear how it will
perform with larger MUI. Recently, in [9], they adopted [8]
scheme, it has shown better results for larger number of users,
but both transmitter and receiver design were complicated.
In this paper, we propose a MIMO OFDM-CDMA system
using Space, Time, and Frequency (STF) spreading. The
main goal is to achieve higher diversity in Space, Time, and
Frequency for improved performance, with reasonable com-
plexity. In addition, the system allows flexible data rates and
easy user multiplexing which are required for next generation
wireless communications systems. An important advantage of
using STF-domain spreading in MIMO OFDM-CDMA is that
the maximum number of users supported is determined by the
product of the S-domain spreading factor, T-domain spread-
ing factor and the F-domain spreading factor. Therefore, the
MIMO OFDM-CDMA system using STF-domain spreading is
capable of supporting a significantly higher number of users
than schemes using solely T-domain spreading. Furthermore,
spreading on all the signal domains provides extra flexibility
in user multiplexing, and offers better diversity/multi-user-
multiplexing tradeoff. The performance of MIMO OFDM-
CDMA scheme using STF-domain spreading is investigated
with the Matched Filter detector [10], [11]. It is shown that
larger diversity gains can be achieved for a given number of
users compared to other schemes.
II. SYSTEM MODEL
In this section, joint space-time-frequency spreading is
proposed for the downlink of a multi-access system which
employs multiple antennas at both the transmitter and the
receiver.
A. MIMO-OFDM Channel Model
Consider a wireless OFDM link with N
f
subcarriers or
tones. The number of transmit and receive antennas are N
t
and N
r
respectively. We assume that the channel has L
′
taps
and the frequency-domain channel matrix of the q-th tone is
related to the channel impulse response as [12]
This full text paper was peer reviewed at the direction of IEEE Communications Society subject matter experts for publication in the ICC 2008 proceedings.
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