Relay Switching Aided Turbo Coded
Hybrid-ARQ for Correlated Fading Channel
Hoang Anh Ngo, Robert G. Maunder and Lajos Hanzo
School of ECS, University of Southampton, SO17 1BJ, United Kingdom.
Email: {han08r, rm, lh}@ecs.soton.ac.uk, http://www-mobile.ecs.soton.ac.uk
Abstract—Hybrid-Automatic-Repeat-reQuest (HARQ) has be-
come an indispensable technique in reliable communications
systems. However, its performance is inevitably affected by the
channel’s fading correlation. In this paper, we proposed a novel
relay-switching aided HARQ scheme in order to mitigate the
detrimental effects of correlated fading without unduly increasing
the system’s complexity and delay. Our results show that the
proposed relay-switching regime operates efficiently in correlated
channels, hence significantly reduces the error floor of turbo-
coded HARQ. Additionally, a HARQ scheme using Segment
Selective Repeat (SSR) is incorporated in the relay-switching
scheme for achieving further improvements. Quantitatively, the
proposed relay-switching aided turbo-coded HARQ scheme using
SSR may achieve an approximately 2 dB gain, compared to
the conventional amplify-and-forward aided turbo coded HARQ
arrangement using Chase Combining.
Index Terms - Relay switching, correlated fading channel,
Hybrid-ARQ, turbo codes, chase combining, incremental redun-
dancy, selective segment repeat.
I. I NTRODUCTION
Automatic Repeat reQuest (ARQ) is a powerful technique of
mitigating errors incurred in packet data services. In wireless
communications the transmit signal is subjected to fading
effects, which corrupt the received signal. Therefore, ARQ
is typically combined with powerful channel coding schemes,
such as turbo codes [1] or Low Density Parity Check (LDPC)
codes [2], in order to improve the robustness of data trans-
mission over fading channels. The resultant technique, also
known as Hybrid-ARQ (HARQ), was introduced in the 1960s
by Wozencraft and Horstein [3] [4], which relies on a combi-
nation of both error detection and error correction combined
with retransmission requests. Their system is now known
as Type-I HARQ. Naturally, the combination of Forward-
Error-Correction (FEC) codes and the classic ARQ protocol
is capable of improving the achievable throughput and of
reducing the number of retransmissions, hence the delay. An
improved version of this system, known as the Type-II HARQ,
was invented by Lin and Yu [5], which is widely employed in
contemporary communication systems, such as the Universal
Mobile Telecommunications System (UMTS) and the 3GPP
Long Term Evolution (LTE) standards [6] or in the IEEE
802.16 mobile WiMAX system [7].
The transmitter of the classic Type-I HARQ scheme typ-
ically retransmits all the information and parity bits of cor-
rupted packets, when a negative acknowledgement (ACK) is
received, while the receiver simply drops erroneous pack-
ets [8]. In the HARQ Type II scheme, the information received
during the consecutive transmission attempts are combined be-
fore each repeated decoding attempt. Clearly, Type-II HARQ
is capable of outperforming Type-I HARQ, at the cost of a
higher complexity.
The channel characteristics substantially affect the attain-
able system performance. For instance, correlated fading may
corrupt consecutive retransmissions, especially when using
Chase Combining, since the transmitted replica may also
experience a deep fade. In this scenario the spatial diversity
gain of multiple-input-multiple-output (MIMO) systems may
mitigate this problem. However, employing the classic co-
located MIMO elements at the mobile station, which has
compact physical dimensions, may also become ineffective in
the presence of spatially correlated fading. To overcome this
potential drawback, distributed MIMOs relying on cooperative
relaying are proposed. We exploit the flexibility of the cooper-
ative networks [9], [10] by advocating a novel relay-switching
regime, where the specific relay activated is changed after
each transmission attempt, in order to overcome the spatial
correlation effects. Additionally, we combine the proposed
relay-switching regime with HARQ relying on the Segment
Selective Repeat (SSR) technique of [11], where not all, but
only the most error-infested segments are retransmitted, in
order to further improve the overall performance of the system.
The paper is organized as follows. In Section II, the pro-
posed relay-switching aided ARQ protocol is described, along
with its capacity expressions. Section III introduces the relay-
switching regime into the Turbo Coded HARQ (TC-HARQ)
arrangementconsidered in conjunction with different diversity-
combining techniques. Section IV provides our numerical
results, followed by our concluding remarks.
II. RELAY SWITCHING AIDED ARQ
A. Channel Model
We will consider an ARQ scenario, where the source
station (SS) broadcast its data to both the relay station (RS)
and the destination station (DS) in the first time slot and then
the RS amplifies and forwards the data to the DS. It is assumed
that the Source-to-Relay (SR), Source-to-Destination (SD)
and Relay-to-Destination (RD) channels suffer from correlated
fading, but there is no correlation among the three channels,
owing to their substantial physical separation.
The signal received at the RS may be expressed as
y
R
[i]= G
SR
h
SR
[i]x[i]+ n
SR
[i], (1)
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