Hindawi Publishing Corporation
EURASIP Journal on Advances in Signal Processing
Volume 2010, Article ID 897607, 11 pages
doi:10.1155/2010/897607
Research Article
Joint Symbol Timing and CFO Estimation for OFDM/OQAM
Systems in Multipath Channels
Tilde Fusco (EURASIP Member),
1
Angelo Petrella,
2
and Mario Tanda
3
1
Communications Regulatory Authority, Department for Studies, Research and Education, Centro Direzionale,
Isola B5, 80143 Napoli, Italy
2
Selex Sistemi Integrati, Via Giulio Cesare 268, Bacoli, 80070 Napoli, Italy
3
Dipartimento di Ingegneria Biomedica, Elettronica e delle Telecomunicazioni, Universit` a di Napoli Federico II,
Via Claudio 21, 80125 Napoli, Italy
Correspondence should be addressed to Mario Tanda, mario.tanda@unina.it
Received 27 May 2009; Revised 27 September 2009; Accepted 13 November 2009
Academic Editor: Faouzi Bader
Copyright © 2010 Tilde Fusco et al. This is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The problem of data-aided synchronization for orthogonal frequency division multiplexing (OFDM) systems based on offset
quadrature amplitude modulation (OQAM) in multipath channels is considered. In particular, the joint maximum-likelihood
(ML) estimator for carrier-frequency offset (CFO), amplitudes, phases, and delays, exploiting a short known preamble, is derived.
The ML estimators for phases and amplitudes are in closed form. Moreover, under the assumption that the CFO is sufficiently
small, a closed form approximate ML (AML) CFO estimator is obtained. By exploiting the obtained closed form solutions a
cost function whose peaks provide an estimate of the delays is derived. In particular, the symbol timing (i.e., the delay of the
first multipath component) is obtained by considering the smallest estimated delay. The performance of the proposed joint AML
estimator is assessed via computer simulations and compared with that achieved by the joint AML estimator designed for AWGN
channel and that achieved by a previously derived joint estimator for OFDM systems.
1. Introduction
In the last years, the interest for filter-bank multicarrier
(FBMC) systems is increased, since they provide high
spectral containment. Therefore, they have been taken into
account for high-data-rate transmissions over both wired
and wireless frequency-selective channels. Moreover, they
have been considered for the physical layer of cognitive
radio systems [1]. One of the most famous multicarrier
modulation techniques is orthogonal frequency division
multiplexing (OFDM), embedded in several standards such
as digital audio and video broadcasting or Wi-Fi wire-
less LANs IEEE 802.11a/g. Other known types of FBMC
systems are Filtered Multitone (FMT) systems, that have
been proposed for very high-speed digital subscriber line
standards [2] and are under investigation also for broadband
wireless applications [3] and, moreover, OFDM based on
offset QAM modulation (OQAM), considered by the 3GPP
standardization forum for improved down-link UTRAN
interfaces [4].
Unlike OFDM, OFDM/OQAM systems do not require
the presence of a cyclic prefix (CP) in order to combat
the effects of frequency selective channels. The absence
of the CP implies on one hand the maximum spectral
efficiency and, on the other hand, an increased compu-
tational complexity. However, since the subchannel filters
are obtained by complex modulation of a single filter,
efficient polyphase implementations are possible. Another
fundamental difference between OFDM and OFDM/OQAM
systems is the adoption in the latter case of pulse shaping
filters very well localized in time and frequency [5, 6].
OFDM/OQAM systems are more sensitive to synchro-
nization errors than single-carrier systems. In particular,
carrier frequency-offset (CFO) and symbol timing (ST)
estimation errors can lead to a performance degradation.
For this reason, it is very important to derive efficient
synchronization schemes. In the last years several studies
have been focused on blind or data-aided synchronization
for OFDM/OQAM systems. For example, in [7, 8] blind
CFO estimators have been derived. Moreover, in [9] a blind