SAFNAQ, An Algorithm for Transmission Power Allocation in MC-
CDMA
Muhammad Safdar Shabbir
1
and Muhammad Aqueel Ashraf
Department of Electronics, Quaid-i-Azam University, 45320 Islamabad, Pakistan.
Abstract. A power allocation algorithm for MC-CDMA communication systems is proposed. There are
many algorithms of power allocation in MC-CDMA, e.g., frequency domain power allocation algorithm
(FDPA), time domain power allocation algorithm (TDPA) and eigenvector based power allocationalgorithm
(EBPA) etc., available in literature. The FDPA algorithm uniformly allocates power to some adaptively
chosen strongest sub-carriers and all other deeply faded sub-carriers are shut off. In TDPA, the power
adaptation is considered so that the desired signal strength at MRC receiver maintains at a fixed level. The
EBPA algorithm allocates power in accordance with a power balance vector. This power balance vector is an
eigenvector corresponding to the maximum eigenvalue of the modified projection matrix orthogonal to the
interference signal subspace. The proposed algorithm, named SAFNAQ algorithm, is cohesion of FDPA and
EBPA algorithms. It allocates transmission power to some adaptively chosen strongest sub-carriers not
uniformly but in accordance with the power balance vector computed as in EBPA algorithm. Simulation
results show that SAFNAQ algorithm outperforms both FDPA and EBPA algorithms as well as the no
allocation algorithm.
Keywords: SAFNAQ, Multi-Carrier, CDMA, Power Allocation, Adaptive Systems, Rayleigh Fading.
1. Introduction
Multi-carrier code division multiple access (MC-CDMA) inherits the characteristics of both orthogonal
frequency division multiplexing (OFDM) and code division multiple access (CDMA). It appears most
suitable for future 4G mobile wireless communications with high data rate. Its main advantages include
multiple access capability, frequency diversity, robustness against fading, and ability to mitigate the inter
symbol interference (ISI) [1]. Power allocation is the most important issue among many research
issues of MC-CDMA that ensures the efficient use of power to maximize performance gain of the system.
In multi-carrier communications, the channel fading for each user and at different sub-carriers is different.
The multi-user water filling power allocation was derived on the idea of Cheng and Verdue [2]. They
proposed that a user should use a sub-channel at which his sub-channel is best among all users.
Many authors have proposed different schemes for resource allocation on the basis of channel state
information (CSI) [3–5]. Zhu and Gunawan [5] proposed that the sub-carriers having channel gains higher
than a given threshold should only be used and turn off the deeply faded sub-carriers and apply maximal
ratio combining (MRC) at the receiver. This approach results in no transmission, when all sub-channel gains
remain below the threshold level. However, it is acceptable for delay tolerable traffics only. Zhu and Bar-
Ness [4] proposed an eigenvector based power allocation (EBPA) algorithm for MC-CDMA systems with
projection matrix based receiver. Lee and Bar-Ness [3] proposed frequency domain power allocation
(FDPA) and time domain power allocation (TDPA) schemes and combination of these both for uplink MC-
CDMA transmissions with MRC receiver. However, cohesion of frequency domain power adaptation
scheme [3] with optimum EBPA algorithm described in [4] has not yet been discussed for uplink MC-
CDMA systems. This idea is implemented in form of SAFNAQ algorithm.
1 +
Corresponding author. Tel.: + (923365043042); fax: + (92-42-637.0580)
. E-mail address: (msafdar87@gmail.com).
2011 International Conference on Computer and Software Modeling
IPCSIT vol.14 (2011) © (2011) IACSIT Press, Singapore
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