- Research
- Open Access

# Qos-aware resource allocation for mixed multicast and unicast traffic in OFDMA networks

- Hui Deng
^{1, 2}Email author, - Xiaoming Tao
^{1}and - Jianhua Lu
^{1}

**2012**:195

https://doi.org/10.1186/1687-1499-2012-195

© Deng et al; licensee Springer. 2012

**Received:**16 September 2011**Accepted:**12 June 2012**Published:**12 June 2012

## Abstract

This article focuses on the subchannel and power allocation for mixed multicast and unicast traffic in wireless OFDMA networks, where the multicast data is divided into basic layer and enhancement layer data. Our goal is to maximize the network total throughput with a total power constraint while guaranteeing the minimum rate requirements of both the unicast and muticast traffic. A suboptimal allocation algorithm is proposed, which combines a cost-based subchannel allocation with the traditional water filling (TWF) and an advanced water filling (AWF). The TWF is used for the subchannels allocated to satisfy the rate requirements of each unicast traffic and multicast traffic while the AWF is used for the remaining subchannels. Besides, we present an average SNR-based user selection scheme which selects a proper set of multicast users to serve when the minimum rate requirements of all users can not be satisfied. Simulation results show that our proposed algorithm can improve the network throughput and outage probability compared with other algorithms.

## Keywords

- Power Allocation
- Outage Probability
- Orthogonal Frequency Division Multiple Access
- Rate Requirement
- Multicast Group

## 1 Introduction

The next-generation wireless networks are expected to provide various broadband multimedia services with diverse quality of service (QoS) requirements. Orthogonal frequency division multiple access (OFDMA) is a promising technology of the next-generation wireless broadband networks for its high spectral efficiency and flexible resource management. Currently, much attention is paid to the unicast wireless OFDMA networks. In unicast OFDMA systems, dynamic resource allocation exploits multiuser diversity gain by allocating the subcarriers to the users with good channel conditions to improve system performance. In [1–11], resource allocation method was proposed for the unicast streams in OFDMA systems. In [7], the resource allocation problem was resolved in two stages. First, a suboptimal subchannel allocation was proposed. Then, optimal power allocation was done based on the pre-determined subchannel allocation. This method of separating subchannel allocation and power allocation is widely used in the resource allocation of OFDMA networks.

Meanwhile, many multimedia applications such as Internet television and video conferencing are carried by the multicast transmission. The 3GPP has defined multimedia broadcast multicast services (MBMSs) for the universal mobile telecommunications system [12]. The 3GPP2 finalized the specifications of broadcast multicast services (BCMCSs) in the 1xEV-DO system [13]. The mobile-WiMAX system forum also supported multicast broadcast service (MBS) [14]. In each time slot, data are delivered to a single user in case of unicast transmission, while the information is simultaneously delivered to multiple users in case of multicast transmission. Resource allocation schemes for mixed multicast and unicast traffic need to be investigated. Seo et al. [15] developed a subchannel allocation scheme that maximizes the total unicast throughput while guaranteeing the minimum transmission rate of multicast traffic in OFDMA networks. Liu et al. [16] proposed a dynamic subcarrier and power allocation scheme for several multicast groups in OFDMA networks to maximize the network throughput given the total power constraint. However, the scheme in [16] did not considering the minimum rate requirement. The unicast group is regarded as a multicast group with one user in [16]. In fact, unicast and multicast services have different QoS requirements. When both multicast and unicast services exist, the QoS requirements for the two kinds of services should be considered concurrently. Baek et al. [17] analyzed the affect of cell radius and the user number in a cell to the performance of the unicast and multicast transmission schemes, and proposed a hybrid scheduling scheme which selects the multicast or unicast transmission in a slot according to SNR threshold values. In [18], the power allocation for mixed unicast and multicast services is considered. The optimization aims to maximize the network sum rate under the precondition that the subcarrier allocation is predefined. Similarly, the above works [15–18] failed to guarantee the rate requirements of the multicast traffic and unicast traffic at the same time.

The conventional multicast transmission over the wireless channels suffers from the limitation problem that the multicast transmission rate is decided by the transmission rate of the worst-channel user in the multicast group. This problem limits the gain which can be achieved by utilizing the multiuser diversity in OFDMA networks. To overcome this problem, the hierarchical video coding schemes such as H.264 and MPEG-4 [19, 20] etc. which decompose the video contents into layers, can be employed. Suh and Mo [21] proposed subcarrier allocation and bit loading for a single hierarchic multimedia stream based on the assumption that any combination of layers consisting of multicast data can be decoded at the receiver. But it did not consider the rate requirement. Kwack et al. [22] and Xu et al. [23] took consideration of the multicast rate requirement and designed subcarrier allocation schemes for multicast services employing layered video coding in OFDMA networks. But they did not consider the power allocation. In [24], we developed subchannel and power allocation for a single hierarchic multicast traffic considering the minimum rate requirement. These works [21–24] only consider multicast traffic.

Our work attempts to design a subchannel/power allocation method for mixed multicast and unicast traffic in OFDMA networks to maximize network throughput while guaranteeing the rate requirements of all traffic. We utilize the layered video coding technique for the multicast traffic. More specifically, we present a suboptimal algorithm which combines a cost-based subchannel allocation (CSA) with the traditional water filling (TWF) and an advanced water filling (AWF). Also, an average-SNR user selection scheme is proposed to exclude bad channel condition users to improve system performance. Simulation results will show that the network throughput by using our proposed algorithm outperforms other algorithms.

The rest of article is organized as follows: In Section 2, we present the system model and problem formulation. In Section 3, subcarrier/power allocation schemes and user selection method are proposed. Next, the simulation results of our algorithm are showed in Section 4. Finally, conclusion is drawn in Section 5.

## 2 System model and problem formulation

In our model, *G* downlink traffic flows are transmitted to *K* users on *L* subchannels, where the traffic flows contains *U* unicast traffic flows and *M* multicast traffic flows. We assume that each user receives only one traffic flow at each time. The user set is denoted by $\mathcal{K}={\mathcal{U}}^{\mathsf{\text{uni}}}\cup {\mathcal{U}}_{1}^{\mathsf{\text{mul}}}\cdots \cup {\mathcal{U}}_{M}^{\mathsf{\text{mul}}}$ contains all the users in the network, where ${\mathcal{U}}^{\mathsf{\text{uni}}}$ denotes the unicast user set and ${\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\left(i=1,\dots ,M\right)$ denotes the user set of multicast group *i*. The symbol $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|$ represents the number of users included in the *i* th multicast group. The total system bandwidth is *B* and each subchannel have an equal bandwidth *B/L*.

*k*in subchannel

*l*can be expressed as:

where *P*_{
l
} and *G*_{l, k}denote the transmission power allocated to subchannel *l* and the channel gain for user *k* in subchannel *l*, *N*_{0} is the noise power in each subchannel, *c ≈ -* 1.5/ln(0.2/BER) [25].

*i*th multicast group, we take the base layer transmission rate of multicast group

*i*in subchannel

*l*to be

The summed base layer transmission rate of the subchannels which are allocated to the base layer of a multicast group should meet the transmission rate requirement of the base layer to provide the minimum level video quality to users.

*i*, we decide its transmission rate in sub-channel

*l*such that the enhancement layer throughput in suchannel

*l*be maximinzed. The enhancement layer throughput of multicast group

*i*in subchannel

*l*represents the amount of the received enhancement layer data of all the users in multicast group

*i*in subchannel

*l*. If the enhancement layer transmission rate in subchannel

*l*happens to be the rate of user

*k*in multicast group

*i*, then the enhancement layer throughput of multicast group

*i*in subchannel

*l*is

**1**(A) is an indicator function that becomes 1 when the condition A is met and 0 otherwise.

When the transmission power in each subchannel is determined, the optimal transmission rate for the enhancement layer of multicast group *i* in subchannel *l*, ${r}_{l,{k}^{*}}$, ${k}^{*}\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}$, is determined such that ${E}_{l,i}^{k}$ can be maximized, i.e., ${k}^{*}=\mathsf{\text{arg}}{\mathsf{\text{max}}}_{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{E}_{l,i}^{k}$. In this case the maximum enhancement layer throughput of multicast group *i* in subcarrier *l*, *E*_{l, i}, becomes ${E}_{l,i}^{{k}^{*}}$.

where *ρ*_{l, u}is either 1 or 0, depending on whether the subchannel *l* is assigned to unicast user *u* or not, *α*_{l, i}explains whether the subchannel *l* is assigned to the base layer of the *i* th multicast group, *β*_{l, j}denotes whether the subchannel *l* is assigned to the enhancement layer of the *j* th multicast group. Constrains (5) and (6) guarantee the rate requirements of each unicast and mutlicast traffic where ${R}_{u}^{\mathsf{\text{min}}}$ and ${R}_{i}^{\mathsf{\text{b}}}$ represent the rate requirement of unicast user *u* and multicast group *i*, respectively. Constrain (7) is the total power constraint where *P*_{max} is the total power of the BS. Constrains (8-12) ensure that one subchannel can not be reused by a unicast traffic, the base layer of a multicast traffic, and the enhancement layer of a multicast traffic. The optimization problem (P1) is a NP-hard problem. Optimal allocation in which subchannels and power should be allocated jointly poses a prohibitive computational burden at the BS. There, low-complexity suboptimal algorithms are preferred for its cost-effective and delay-sensitive implementations. Separating the subchannel and power allocation is a way to reduce the complexity, because the number of variables in the objective function can be reduced. This method of separating subchannel allocation and power allocation is widely used in the resource allocation of OFDMA networks [7, 16]. In the next section, a low-complexity supoptimal allocation scheme based on the above method is proposed.

## 3 Methods: Heuristic resource allocation and user selection scheme

The proposed resource allocation scheme is divided into two steps. In the first step, the subchannels are assigned assuming that the BS's total power *P*_{max} is equally distributed to each subchannel, i.e. *P*_{
l
} = *P*_{max}/*L*. This assumption is used only for the subchannel allocation. Next, power allocation is done based on the subchannel allocation results.

### Subchannel allocation

**Lemma 1**. When ${R}_{u}^{\mathsf{\text{min}}}$, $\forall u\in {\mathcal{U}}^{\mathsf{\text{uni}}}$ and ${R}_{i}^{\mathsf{\text{b}}},\forall i=1,2,\dots ,M$ are all zero, the problem P2 can be solved by

*Proof*. For multicast group

*i*, the base layer throughput $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|{B}_{l,i}=\phantom{\rule{2.77695pt}{0ex}}\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|\underset{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{\mathsf{\text{min}}}{r}_{l,k}={\sum}_{n\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}\underset{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{\mathsf{\text{min}}}{r}_{l,k}1\left({r}_{l,n}\ge \underset{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{\mathsf{\text{min}}}{r}_{l,k}\right)={E}_{l,i}^{{k}_{b}}$, where ${k}_{b}=\mathsf{\text{arg}}{\mathsf{\text{min}}}_{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{r}_{l,k}$, then the enhancement layer throughput ${E}_{l,i}={\mathsf{\text{max}}}_{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{E}_{l,i}^{k}\ge {E}_{l,i}^{{k}_{b}}$. So the enhancement layer throughput of a multicast group is no less than the base layer throughput. Therefore, when the minimum rate requirements of the traffic are all zero, the problem P2 can be simplified as the following:

The subchannel can not be reuse. Suppose the *l* th subchannel is allocated to unicast user *u*. Assume that there exists a multicast traffic *i* that has *E*_{l, i}> r_{l, u}. The total throughput can be improved by reallocating the subchannel *l* from unicast user *u* to mutlicast traffic *i*. Similar conclusions can be obtained in other situations. Therefore, the subchannel *l* need to be assigned to the traffic with the maximum achievable throughput as the Equation (21-23) showed.

According to the above lemma, without considering the rate requirement, in order to maximize the network throughput, the optimal subchannel allocation is to allocate each subchannel to the traffic whose achievable throughput in that subchannel is largest. There-fore, we can calculate the achievable throughput of the enhancement layer of each multicast traffic and the achievable rate of each unicast traffic in each subchannel, and then allocate each subchannel to the traffic with maximum achievable throughput initally.

After that, we can reallocate the subchannels to meet the rate requirement of each traffic. We hope that the total throughput reduction be minimized in each reallocation and the number of reallocation be kept as low as possible. Next, a cost function is defined to determine whether a subchannel will be reallocated to another traffic.

Suppose that the achievable throughput of a subchannel is distributed in such a pattern that it is comparatively high for a specific traffic while being comparatively low for an other traffic. Then it would be more desirable to allocate that subchannel to the traffic with higher throughput. Furthermore, considering to minimize the total throughput reduction, a subchannel is more desirable to be assigned to a traffic whose achievable throughput has a small gap from the maximum achievable throughput in that subchannel. Meanwhile, a subchannel needs to have a higher probability to be allocated to a traffic with a larger remaining rate to achieve the rate requirement.

Finally, we establish a CSA as follows: first, we allocate each subchannel to the traffic with the maximum achievable throughput in it. Second, we determine a subchannel-traffic pair that has the minimum value of *c*_{l, k}, and assign the subchannel to that traffic. Third, we exclude the selected subchannel from the set of subchannels, **S**, and repeat the second step until the transmission rate requirements for all traffic are met.

We examine the complexity of proposed subchannel allocation scheme. In our model, *G* downlink traffic flows are transmitted on *L* subchannels, where the traffic flows contains *U* unicast traffic flows and *M* multicast traffic flows. To determine the enhancement layer transmission rate of multicast group *i* in each subchannel, the scheme needs to sort the user rate in the multicast group first with complexity of $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|\cdot \mathsf{\text{log}}\left(\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|\right)$. Then, we need to calculate $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|$ throughput corresponding to $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|$ different transmission rate of enhancement layer, and $\left|{\mathcal{U}}_{i}^{\mathsf{\text{mul}}}\right|$ comparisons are need to find the optimal rate to maximize the enhancement layer throughput. The base layer transmission rate can be found in the sorting process. Let ${U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}$ be the maximum user number in multicast group. Therefore, at most $L\xb7M\xb7\left(2{U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}+{U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}\mathsf{\text{log}}\left({U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}\right)\right)$ comparisons are needed to find the base layer transmission rate and the maximum enhancement layer throughput for all multicast groups in all subchannels. Besides, we need to calculate *LU* transmission rate for all unicast users in all subchannel. Then, *L · G* comparisons are need to find the traffic with maximum achievable throughput in each subchannel. For the subchannel reallocation procedure, we need to calculate at most *L · G* costs and need at most *L · G* comparisons to find the subchannel-traffic pair that has the minimum value costs in each loop. At most *L* loop are required to check whether the transmission rate requirements for all traffic are met. The complexity is bounded by *L*^{2} *· G* in the subchannel reallocation stage. In a conclusion, the subchannel allocation scheme has a complexity of $O\left(LM{U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}\mathsf{\text{log}}\left({U}_{\mathsf{\text{max}}}^{\mathsf{\text{mul}}}\right)+{L}^{2}G\right)$ which is less than the complexity required for the complete search over the problem space which is *O*(*G*^{
L
}).

### Power allocation

After the power and subchannls which are allocated to satisfy the rate requirement of a traffic are fixed, the TWF [26] could be done immediately to maximize the achievable throughput of the traffic. We do the TWF for each traffic separately and this method can avoid the minimum required rates not satisfied after new power allocation.

*u*is

where ${\mu}_{u}^{\mathsf{\text{uni}}}$ is solved by ${\sum}_{l=1}^{L}{\rho}_{l,u}{P}_{l}={P}_{u}^{\mathsf{\text{uni}}}$, and ${P}_{u}^{\mathsf{\text{uni}}}$ is the total power allocated to unicast traffic *u* to satisfy its rate requirement.

*i*is

where ${\mu}_{i}^{\mathsf{\text{mul}}}$ is solved by ${\sum}_{l=1}^{L}{\alpha}_{l,i}{P}_{l}={P}_{i}^{\mathsf{\text{B}}}$, ${G}_{l,i}^{\mathsf{\text{min}}}=\mathsf{\text{arg}}{\mathsf{\text{min}}}_{k\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}{G}_{l,k}$ and ${P}_{i}^{\mathsf{\text{B}}}$ is the total power allocated to the base layer of multicast traffic *i* to satisfy its rate requirement.

*ρ*

_{l, u},

*α*

_{l, i},

*β*

_{l, j}, the total power assigned to satisfy the rate requirement of all traffic and the user whose rate has been chosen to be the transmission rate of the enhancement layer in each subchannel for each multicast traffic from step 1, the optimization problem (P1) is transformed as (P3):

where **L** denotes the set of subchannels which are assigned to satisfy the rate requirements of all traffic, and $\stackrel{\u0304}{\mathbf{L}}$ denotes the remaining subchannel set.

where *P*_{left} = *P*_{max} - ∑_{l∈L}*P*_{
l
}, *K*_{
l
} = 1 and *g*_{
l
} = *G*_{l, u}if subchannel *l* is allocated to unicast traffic *u*, ${K}_{l}={\sum}_{n\in {\mathcal{U}}_{i}^{\mathsf{\text{mul}}}}\mathbf{1}\left({G}_{l,n}\ge {G}_{l,{k}^{*}}\right)$, ${k}^{*}\in {U}_{i}^{\mathsf{\text{mul}}}$ and ${g}_{l}={G}_{l,{k}^{*}}$ if subchannel *l* is allocated to multicast traffic *i* while *k** is the user whose rate *r*_{l, k*}is chosen to be the transmission rate for multicast traffic *i* in subchannel *l* under the equal power allocation assumption.

*λ*is a Lagrange multiplier and the solution of problem (P4) can be obtained by solving

*∂F/∂λ*= 0. Consequently, the transmission power for each subchannel should satisfy

*P*

_{ l }allocated to subchannel

*l*can be represented by

The power allocation in (41) satisfies ${\sum}_{l\in \stackrel{\u0304}{\mathbf{L}}}{P}_{l}={P}_{\mathsf{\text{left}}}$ and we call it AWF. *λ*_{0} in (41) is determined by substituting all the *P*_{
l
} into the constraint equation ${\sum}_{l\in \stackrel{\u0304}{\mathbf{L}}}{P}_{l}={P}_{\mathsf{\text{left}}}$.

The proposed resource allocation scheme

1. Initialization: |
---|

Set $\stackrel{\u0304}{\mathbf{L}}=\left\{1,2,\dots ,L\right\}$, ${R}_{k}^{\mathsf{\text{unireq}}}={R}_{k}^{\mathsf{\text{min}}}$, ${R}_{k}^{\mathsf{\text{mulreq}}}={R}_{k}^{\mathsf{\text{b}}}$ and |

2. Allocate each subchannel to the traffic with maximum achievable throughput and set |

While ${R}_{k}^{\mathsf{\text{unireq}}}>0\left(\forall k\in {\mathbf{U}}^{\mathsf{\text{uni}}}\right)$ or ${R}_{k}^{\mathsf{\text{mulreq}}}>0$, (∀ |

1) find a pair $\left[{l}^{*},{k}^{*}\right]=\mathsf{\text{arg}}\underset{l\in \stackrel{\u0304}{\mathbf{L}},k=1,\cdots \phantom{\rule{0.3em}{0ex}},U+M}{\mathsf{\text{min}}}\left\{{c}_{l,k}\right\}$. |

2) when |

3) Let $\stackrel{\u0304}{\mathbf{L}}=\stackrel{\u0304}{\mathbf{L}}-\left\{{l}^{*}\right\}$ and update ${c}_{l,{k}^{*}}$ according to (31)(32) for $l\in \stackrel{\u0304}{\mathbf{L}}$. |

3. 1) For each traffic, do calculate the assigned power for the sub-channels which are allocated to satisfy the rate requirement by using the TWF according to (33)(34). |

2) If $\stackrel{\u0304}{\mathbf{L}}\ne \varphi $, calculate the assigned power for subchannels in $\stackrel{\u0304}{\mathbf{L}}$ by using the AWF (41). |

### User selection

User selection

1. Initialization: |
---|

Set $\mathcal{U}=\left\{m|{\sum}_{l=1}^{L}{\alpha}_{l,m}{B}_{l,m}<{R}_{m}^{b}\right\}$ which is the set of multicast groups which did not achieve the rate requirement. |

2. Iteration: |

While $\mathcal{U}\ne \phi $ |

for each |

1) find a user ${u}^{*}=\mathsf{\text{arg}}{\mathsf{\text{min}}}_{u\in {\mathcal{U}}_{m}^{\mathrm{mul}}}SN{R}_{u}$, $SN{R}_{u}=1/L\cdot {\sum}_{l=1}^{L}{P}_{l}{G}_{l,u}/{N}_{0}$. |

2) exclude the user |

end |

do our proposed cost-based subchannel allocation, reset $\mathcal{U}=\left\{m|{\sum}_{l=1}^{L}{\rho}_{l,m}{r}_{l,m}<{R}_{m}^{b}\right\}$. |

end |

## 4 Simulation results

We conduct computer simulations to evaluate the performance of our proposed algorithm. For comparison purpose, we also consider three other schemes: (1) PSRG subchannel assignment algorithm proposed in [27] based on a uniform power distribution. Here we determine the pruning threshold for each multicast group in each subchannel such that the throughput of the enhancement layer can be maximized other than fixed the threshold as done in [27]; (2) our proposed CSA based on a equal power allocation; (3) the proposed resource allocation scheme in Table 1 (CSA+WF) without user selection method ASUS.

A single cell case with several unicast users and two multicast groups is taken into consideration. All the users are uniformly distributed in the cell and request a rate-adaptive service such as video and audio services. The cell radius is set as 300 m. A COST-WI propagation model is adopted with path loss *L*(*d*) = 7.17 + 38.0 log_{10}(*d*) where *d* is distance in meters [10]. The frequency selective fading channel is a six-path Rayleigh model with an exponential power profile. The number of subchannels is 32 and each subchannel is 180 kHz. The power spectral density of AWGN is -144 dB *·* W/Hz. The BS available total power is 20 W and the desired BER is 10^{-4}.

## 5 Conclusion

This article considered subchannel and power allocation for mixed multicast and unicast traffic in OFDMA networks where the multicast traffic employing hierarchical video coding scheme. Our goal was to maximize the system throughput with a total transmission power constraint while guaranteeing the rate requirements of all traffic. A CSA was firstly presented. Then we introduced the traditional waterfilling for the subchannels allocated to satisfy the rate requirements of each unicast traffic and the base layer of each multicast traffic, and proposed an advanced waterfilling method for the remaining subchannels. Besides, an ASUS algorithm was developed to reduce the outage probability when the rate requirements of all traffic can not be satisfied. Simulation results show the system throughput and outage probability improvement over other algorithms by using our proposed algorithm.

## Declarations

### Acknowledgements

This work was supported by NSFC of China (No. 61101071, 61021001, 60972021). This article was presented in part at the IEEE 74th Vehicular Technology Conference, San Francisco, United States, 5-8 September 2011.

## Authors’ Affiliations

## References

- Wong CY, Cheng R, Letaief K, Murch R: Multiuser OFDM with adaptive subcarrier, bit, and power allocation.
*IEEE J Sel Areas Commun*1999, 17: 1747-1758. 10.1109/49.793310View ArticleGoogle Scholar - Rhee W, Cioffi JM: Increase in capacity of multiuser OFDM system using dynamic subchannel allocation. In
*Proc IEEE VTC 2000 Spring*. Tokyo, Japan; 2000:1085-1089.Google Scholar - Jang J, Lee KB: Transmit power adaptation for multiuser OFDM systems.
*IEEE J Sel Areas Commun*2003, 21: 171-178. 10.1109/JSAC.2002.807348View ArticleGoogle Scholar - Kivanc D, Li G, Liu H: Computationally efficient bandwidth allocation and power control for OFDMA.
*IEEE Trans Wirel Commun*2003, 2: 1150-1158. 10.1109/TWC.2003.819016View ArticleGoogle Scholar - Song G, Li Y: Cross-layer optimization for OFDM wireless networks-part I, theoretical frame-work.
*IEEE Trans Wirel Commun*2005, 4: 614-624.View ArticleGoogle Scholar - Song G, Li Y: Cross-layer optimization for OFDM wireless networks-part II: algorithm development.
*IEEE Trans Wirel Commun*2005, 4: 625-634.View ArticleGoogle Scholar - Shen Z, Andrews JG, Evans BL: Adaptive resource allocation in multiuser OFDM systems with proportional rate constraints.
*IEEE Trans Wirel Commun*2005, 4: 2726-2737.View ArticleGoogle Scholar - Kim H, Ha Y: A proportional fair scheduling for multicarrier transmission systems.
*IEEE Commun Lett*2005, 9: 210-212. 10.1109/LCOMM.2005.03014View ArticleGoogle Scholar - Wang T, Vandendorpe L: WSR maximized resource allocation in multiple DF relays aided OFDMA downlink transmission.
*IEEE Trans Signal Process*2011, 59: 3964-3976.MathSciNetView ArticleGoogle Scholar - Vandendorpe L, Prasad N, Wang X: A successive vonvex approximation algorithm for weighted sum-rate maximization in downlink OFDMA networks. In
*Proc Conf Inf Sci Systems*. Prince-ton, USA; 2008:379-384.Google Scholar - Wang T, Vandendorpe L: Iterative resource allocation for maximizing weighted sum min-rate in downlink cellular OFDMA systems.
*IEEE Trans Signal Process*2011, 59: 223-234.MathSciNetView ArticleGoogle Scholar - Introduction of the Multimedia Broadcast Multicast Service (MBMS) in the Radio Access Network (RAN); Stage 2 (Release 7), 2008, 3GPP RAN, 3G TS 25.346 V7.7.0Google Scholar
- Interoperability Specification (IOS) for Broadcast Multicast Services (BCMCS): 2006, 3GPP2 TSG-A, A.S0019-A v1.0Google Scholar
- Mobile WiMAX: Part I, A technical overview and performance evaluation. In
*WiMAX Forum*. Frederick, USA; 2006:29-30.Google Scholar - Seo H, Kwack S, Lee BG: Channel structuring and subchannel allocation for efficient multicast and unicast services integration in wireless OFDM systems. In
*Proc IEEE Globecom 2007*. Washington, USA; 2007:4488-4493.Google Scholar - Liu J, Chen W, Cao Z, Lee KB: Dynamic power and sub-carrier allocation for OFDMA-based wireless multicast systems. In
*Proc IEEE ICC 2008*. Beijing, China; 2008:2607-2611.Google Scholar - Baek SY, Hong Y, Sung DK: Adaptive transmission scheme for mixed multicast and unicast traffic in cellular systems.
*IEEE Trans Veh Technol*2009, 58: 2899-2908.View ArticleGoogle Scholar - Silva Y, Klein A: Power allocation in multi-carrier networks with unicast and multicast services. In
*Proc IEEE ICC 2007*. Glasgow, Scotland; 2007:5433-5438.Google Scholar - McCane S, Vetterli M, Jacobson V: Low-complexity video coding for receiver-driven layered multicast.
*IEEE J Sel Areas Commun*1997, 15: 983-1000. 10.1109/49.611154View ArticleGoogle Scholar - Li W: Overview of fine granularity scalability in MPEG-4 video standard.
*IEEE Trans Circ Syst Video Technol*2001, 11: 301-317. 10.1109/76.911157View ArticleGoogle Scholar - Suh C, Mo J: Resource allocation for multicast services in multicarrier wireless communications. In
*Proc IEEE Infocom 2006*. Barcelona, Spain; 2006:1-12.Google Scholar - Kwack S, Seo H, Lee BG: Suitability-based subcarrier allocation for multicast services employing layered video coding in wireless OFDM systems. In
*Proc IEEE VTC 2007 Fall*. Baltimore, USA; 2007:1752-1756.Google Scholar - Xu Y, Wu X, Lui J: Cross-layer Qos scheduling for layered multicast streaming in OFDMA wireless networks.
*Wirel Pers Commun*2009, 51: 565-591. 10.1007/s11277-009-9754-8View ArticleGoogle Scholar - Deng H, Tao X, Xing T, Lu J: Resource allocation for layered multicast streaming in wireless OFDMA networks. In
*Proc IEEE ICC 2011*. Kyoto, Japan; 2011:1-5.Google Scholar - Chung S: A Goldsmith, Degrees of freedom in adaptive modulation: a unified view.
*IEEE Trans Commun*2001, 49: 1561-1571. 10.1109/26.950343View ArticleGoogle Scholar - Cover TM, Thomas JA:
*Elements of Information Theory*. Wiley, New York; 1991.View ArticleGoogle Scholar - Baum DS, Hansen J, Salo J: An interim channel model for beyond-3G systems: extending the 3GPP spatial channel model (SCM). In
*Proc IEEE VTC 2005 Spring*. Stockholm, Sweden; 2005:3132-3136.Google Scholar

## Copyright

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