MMSE TURBO EQUALIZATION FOR MULTICODE DS-CDMA
Kazuaki TAKEDA
+
and Fumiyuki ADACHI
++
Dept. of Electrical and Communication Engineering, Graduate School of Engineering, Tohoku University
6-6-05 Aza-Aoba, Aramaki, Aoba-ku, Sendai, 980-8579 Japan
E-mail:
+
takeda@mobile.ecei.tohoku.ac.jp,
++
adachi@ecei.tohoku.ac.jp
ABSTRACT
Frequency-domain equalization (FDE) based on the
minimum mean square error (MMSE) criterion can
replace the conventional rake combining with
significantly improved bit error rate (BER) performance
of multicode DS-CDMA in a frequency-selective fading
channel. However, the presence of residual inter-chip-
inference (ICI) after MMSE-FDE produces the
orthogonality distortion among the spreading codes and
the BER performance degrades as the number of
multiplex order increases. Recently, we have proposed a
frequency-domain ICI cancellation to improve the
uncoded performance. To further improve the BER
performance, in this paper, we propose MMSE turbo
equalization. In the proposed scheme, MMSE-FDE and
ICI cancellation are incorporated into iterative
maximum a posteriori (MAP) decoding, resulting in an
MMSE turbo equalization. MMSE weight taking into
account the residual ICI is updated in each iteration. The
effect of MMSE turbo equalization is confirmed by
computer simulation.
Keywords-component; DS-CDMA, frequency-domain
equalization, ICI cancellation, MMSE turbo equalization
1. INTRODUCTION
In the third generation mobile communication
systems, direct sequence code division multiple access
(DS-CDMA) is successfully used [1]. Wireless channel
is composed of many distinct propagation paths having
different time delays, resulting in a frequency-selective
fading channel [2]. In the present cellular systems
adopting DS-CDMA, rake combining is applied to
combat with the frequency-selective fading channel for
the data transmissions of up to around a few Mbps [1],
[3]. Recently, a lot of research attention has been paid to
the next generation mobile communication systems that
will support data services higher than several tens of
Mbps. The wireless channel for high speed data
transmission is severely frequency-selective and the BER
performance with the rake combining degrades due to a
strong inter-path interference. Hence, an advanced
equalization technique is indispensable.
Recently, it has been shown [4]-[7] that FDE based
on the minimum mean square error (MMSE) criterion
can replace the rake combining and improve the BER
performance for the DS-CDMA signal reception over a
severe frequency-selective channel. Although FDE can
significantly improve the downlink BER performance,
the presence of residual inter-chip interference (ICI) after
FDE distorts the orthogonality among the spreading
codes and the BER performance of orthogonal multicode
DS-CDMA degrades as the code multiplexing order
increases. The joint use of FDE and multi-access
interference (MAI) cancellation for DS-CDMA uplink is
considered in [8]. Recently, we have proposed a joint
MMSE-FDE and frequency-domain ICI cancellation to
improve the uncoded BER performance of the DS-
CDMA downlink signal transmission [9].
For the data transmissions higher than 100Mbps, the
use of strong error correction technique (e.g., turbo
coding) is inevitable [10]. Recently, the turbo
equalization technique has been drawing much attention
since it can suppress the interference while achieving
high coding gain by iteratively performing channel
equalization and channel decoding [11]-[13]. In this
paper, we propose MMSE turbo equalization to suppress
the residual ICI present after FDE and to improve the
decoded BER performance of multicode DS-CDMA. In
the proposed scheme, MMSE-FDE, ICI cancellation and
maximum a posteriori (MAP) decoding are repeated to
successively suppress the residual ICI and to obtain the
higher coding gain. MMSE weight taking into account
the residual ICI is updated in each iteration.
2. TRANSMISSION SYSTEM MODEL
2.1. Overall transmission system
The transmission system model for DS-CDMA with
turbo equalization is illustrated in Fig.1. At the
transmitter, after turbo coding and channel interleaving, a
binary data sequence of Klog
2
M bits is transformed into a
data modulated symbol sequence {d(n); n=0~K−1},
where M is the modulation level. The resulting data
modulated symbol sequence is transformed, by serial-to-
parallel (S/P) converter, into U parallel symbol sequences
{ ) (m d
u
; m=0~K/U−1}, u=0~U−1, and then each
sequence is divided into a sequence of blocks of N
c
/SF
chips. Here, N
c
is the FFT window size and SF is the
spreading factor. In this paper, one block transmission of
{ ) (m d
u
; m=0~N
c
/SF−1} is considered for simplicity
(i.e., K/U=N
c
/SF).
One block of data symbols { ) (m d
u
; m=0~N
c
/SF−1}
is spread by multiplying an orthogonal spreading
sequence c
u
(t) of spreading factor SF. The resultant U
chip sequences are multiplexed and further multiplied by
a common scramble sequence c
scr
(t) to make the resultant
multicode DS-CDMA signal like white-noise. Then, the
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