Interference Mitigation MIMO

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    Physical Communication ( )

    Contents lists available at SciVerse ScienceDirect

    Physical Communication

    journal homepage: www.elsevier.com/locate/phycom

    Full length article

    Interference mitigation for cognitive radio MIMO systems based onpractical precoding

    Zengmao Chen a, Cheng-Xiang Wang a,, Xuemin Hong b, John Thompson c,Sergiy A. Vorobyov d, Feng Zhao e, Xiaohu Ge f

    aJoint Research Institute for Signal and Ima ge Processing, School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh, EH1 4 4AS,

    United Kingdomb School of Information Science and Technology, Xiamen University, Xiamen 361005, ChinacJoint Research Institute for Signal and Imag e Processing, Institute for Digital Communications, University of Edinburgh,Edinburgh, EH9 3JL, United Kingdomd Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, T6G 2V4, Canadae Department of Science and Technology, Guilin University of Electronic Technology, Guilin 541004, ChinafDepartment of Electronics and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

    a r t i c l e i n f o

    Article history:

    Received 15 February 2012

    Received in revised form 27 April 2012

    Accepted 29 April 2012

    Available online xxxx

    Keywords:

    Cognitive radio

    Interference mitigation

    MIMO

    Precoding

    a b s t r a c t

    In this paper, we propose two subspace-projection-based precoding schemes, namely, full-

    projection (FP)-and partial-projection (PP)-based precoding, for a cognitiveradio multiple-

    input multiple-output (CR-MIMO) network to mitigate its interference to a primary

    time-division-duplexing (TDD) system. The proposed precoding schemes are capable of

    estimating interference channels between CR and primary networks, and incorporating

    the interference from the primary to the CR system into CR precoding via a novel sensingapproach. Then, the CR performance and resulting interference of the proposed precoding

    schemes are analyzed and evaluated. By fully projecting the CR transmission onto a null

    space of the interference channels, the FP-based precoding scheme can effectively avoid

    interfering the primary system with boosted CR throughput. While, the PP-based scheme

    is able to further improve the CR throughput by partially projecting its transmission onto

    the null space.

    2012 Elsevier B.V. All rights reserved.

    1. Introduction

    A cognitive radio (CR) [14] system may coexist with

    a primary network on an either interference-free orinterference-tolerant basis [5,6]. For the former case, the

    CR system only exploits the unused spectra of the primarynetwork. While, for the latter case, the CR system is al-

    lowed to share the spectra assigned to primary network

    Corresponding author. Tel.: +44 131 451 3329.E-mail addresses: [email protected] (Z. Chen),

    [email protected] (C.-X. Wang), [email protected]

    (X. Hong), [email protected] (J. Thompson),

    [email protected] (S.A. Vorobyov), [email protected] (F. Zhao),

    [email protected] (X. Ge).

    under the condition of not imposing detrimental interfer-ence on the primary network. Therefore, the interferencefrom the CR network to the primary system (CR-primary

    interference) should be carefully managed and canceled inorder to protect the operation of the primary system. Var-ious interference mitigation (IM) techniques applicable toCR networks have been reported in [7]. As for multiple an-tenna CR networks, transmit beamforming [812] and pre-coding in [1315] are effective approaches to proactivelycancel the CR-primary interference. On one hand, it steersthe CR transmission to avoid interfering with the primarynetwork. On the other hand, it exploits the diversity or themultiplexing gain of the CR system to enhance the reliabil-ity or efficiency of the CR network.

    However, in [815], perfect or partial channel stateinformation (CSI) of CR interference channels to primary

    1874-4907/$ see front matter 2012 Elsevier B.V. All rights reserved.

    doi:10.1016/j.phycom.2012.04.007

    http://dx.doi.org/10.1016/j.phycom.2012.04.007http://www.elsevier.com/locate/phycomhttp://www.elsevier.com/locate/phycommailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]://dx.doi.org/10.1016/j.phycom.2012.04.007http://dx.doi.org/10.1016/j.phycom.2012.04.007mailto:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]:[email protected]://www.elsevier.com/locate/phycomhttp://www.elsevier.com/locate/phycomhttp://dx.doi.org/10.1016/j.phycom.2012.04.007
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    Fig. 1. A CR MIMO transmitterreceiver pair coexists with a primary TDD system.

    network (CR-primary interference channels) is required at

    the CR transmitter (Tx) side to guarantee no/constrained

    interference to the primary system. Therefore, extra sig-

    naling between primary and CR networks is inevitable toobtain the CSI, which jeopardizes the applicability of these

    beamforming and precoding schemes. A more practical

    precoding schemesensing projection (SP)-based precod-ing, which learns the CSI using subspace estimation [16]and does not require a priori CSI, has been proposed for

    a CR multiple-input multiple-output (MIMO) link coexist-

    ing with a primary time-division-duplexing (TDD) system

    in [17,18]. However, such a precoding scheme does not

    account for the interference from primary Txs to the CRreceiver (Rx) (primary-CR interference), which leads to a

    CR throughput loss. In [19,20], it is proposed to remove

    the primary-CR interference at the CR Rx via null-space Rx

    beamforming, which sacrifices the CR throughput as well.Moreover, the CR network in [19,20] has to work in a TDD

    mode aligned with the primary system in order to facilitate

    the null-space Rx beamforming.In this paper, two enhanced SP-based precoding sche-

    mes, namely, full-projection (FP)- and partial-projection(PP)-based precoding, are proposed for CR MIMO systems

    by incorporating the primary-CR interference. As the name

    suggests, the FP-based scheme nulls the CR transmission

    by fully projecting the transmission onto the estimated

    null space of the CR-primary interference channels. Insteadof removing the primary-CR interference using null-space

    Rx beamforming, the proposed precoding schemes account

    for the primary-CR interference via sensing. This, on one

    hand, improves the CR throughput, and on the other hand,introduces more flexibility into the CR deployment, i.e.,

    the CR network does not have to work in a TDD mode asin [19,20]. The PP-based precoding can further improve the

    CR throughput by projecting the CR transmission onto a

    subspace that partially spans the estimated null space of

    the CR-primary interference channels. As a result, the CRthroughput is further improved at the cost of introducing

    extra interference to the primary network.

    The remainder of this paper is organized as follows. The

    system model is given in Section 2. The working principleof the SP-based precoding is introduced in Section 3. Then,we propose two new precoding schemes in Section 4.

    The performance of the proposed precoding schemes is

    evaluated in Section 5. Finally, we conclude the paper inSection 6.

    Notation: Vectors are denoted by bold-face lower-caseletters, e.g., x, and bold-face upper-case letters are used

    for matrices, e.g., X. For a matrix X, Tr{X}, XH, and X

    denote its trace, Hermitian transpose and pseudoinverse,respectively. E{} stands for the statistical expectationoperator. Cxy denotes the space of x y matrices withcomplex entries.

    2. System model and problem formulation

    We consider a CR system shown in Fig. 1, where a CRTxRx pair shares the same spectrum with a primary TDD

    network. Multiple antennas are mounted at the CR nodes

    and possibly at each of the primary users. The CR Tx, CRRx, primary base station (BS) and the kth primary user

    are equipped with Mt, Mr, Mbs and Mk (k = 1, . . . , K)antennas, respectively. Block-fading channels are assumedfor the primary and CR systems.

    For a narrowband transmission, the received symbol atthe CR Rx can be expressed as

    y = HFs + n + z (1)

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    Fig. 2. System diagram for the proposed precoding schemes.

    wherey CMr1 is the received signal vector at the CR Rx,s CMt1 and F CMtMt are the transmit informationvector with E{ssH} = I and precoding matrix of the CRTx, respectively, H CMrMt is the channel matrix fromthe CR Tx to CR Rx, whose elements are independent andidentically distributed (i.i.d.) complex Gaussian randomvariables with zero mean and variance 2H, and n C

    Mr1

    stands for the additive white Gaussian noise (AWGN)vector with zero mean and covariance matrix E{nnH} =2n I. Moreover, z C

    Mr1 denotes the interference fromthe primary network to CR Rx. It can be expressed as

    z =

    Hurxu, during primary uplinkHdrxd, during primary downlink (2)

    where Hur CMr

    Kk=1 Mk and Hut C

    MtK

    k=1 Mk (seeFig. 1) represent the interference channels from all the Kactive primary users to CR Rx and to CR Tx, respectively,during primary uplink. Similarly, Hdr C

    MrMbs in(2) together with Hdt C

    MtMbs (see Fig. 1) standfor the interference matrices from the primary BS toCR Rx and to CR Tx during primary downlink. All theseinterference matrices (Hur, Hut, Hdr and Hdt) have i.i.d.complex Gaussian random elements with zero mean andcovariances 2ur,

    2ut,

    2dr and

    2dt, respectively. Moreover,

    xu CK

    k=1M

    k

    1

    and xd CM

    bs

    1

    are the transmittedsignal vectors of all the K primary users and primary BS,respectively. We define the interference covariance matrixas Z E{zzH}.

    3. Principle of SP-based precoding

    The precoding problem for CR transmission can beexpressed as the following optimization problem [14]

    maxF

    log2 det

    I +

    HFFHHH

    2n

    (3)

    subject toTr

    {FF

    H

    } Pcr (4)Tr{GkFF

    HGHk } k k = 1, . . . , K. (5)

    In (5), Gk CMkMt is the channel matrix from the

    CR Tx to the kth primary user. Thus, the channel matrixfrom the CR Tx to all primary users becomes HHut =

    [GT1 , . . . , GTK]

    T due to channel reciprocity. The constraintson the CR transmission power and the maximum allowedinterference perceived at each primary user are given by(4) and (5), respectively.

    The projected channel singular value decomposition(SVD) or P-SVD precoding has been proposed in [14] as asuboptimal solution for the optimization problem (3)(5).It can be expressed as

    F = U

    (I 1 )+ 1

    2 (6)

    where ()+ max(0, ), denotes the power level fora water-filling (WF) algorithm, and U and originatefrom the SVD of the effective CR channel matrix H

    H H(I UGUHG ), (7)

    with H = V1/2

    UH, and UG in (7) is from another SVD

    HHut = VG1/2

    G UHG , which is estimated via sensing in the SP

    precoding [17,18] as shown in Fig. 2. It is worth noting thatthe P-SVD precoding given in (6) actually guarantees that

    Tr{GkFFHGHk } = 0 (k = 1, . . . , K), i.e., no interference

    is introduced to primary users. This eventually tightensthe constraint (5). Therefore, the P-SVD precoding is asuboptimal solution for the optimization problem (3)(5).

    By analogy with the multiple signal classification tech-nique [16], the signal covariance matrix is decomposedinto signal and noise subspaces to estimate UG, that is

    Rut =1

    LS

    LSi=1

    rut(i)rHut(i) (8)

    = UUH (9)

    = UGGUHG + UnnU

    Hn . (10)

    In (16), rut(i) = Hutxu(i)+n(i) is the ith received symbol atthe CR Tx, and its estimated covariance matrix is denoted

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    4 Z. Chen et al. / Physical Communication ( )

    as Rut. An eigenvalue decomposition is then performed on

    Rut in (17), where = diag(1, . . . , Mt) is a diagonal

    matrix with descendingly ordered eigenvalues of Rut and

    U CMtMt contains the corresponding eigenvectors. The

    matrix Rut is further decomposed into interference and

    noise components in (18) with UG and Un being the first

    Kp = rank(Hut) and the remaining (Mt Kp) columns ofU, respectively, and G and n being their correspondingeigenvalue matrices. A rank estimate for Kp can be carried

    out by using, e.g., an Akaike information criterion (AIC)or minimum description length (MDL) estimator [21]. Thesensing phase is followed by a CR transmission, where a

    precoding matrix obtained from (6) is applied.

    The merit of the SP precoding over the P-SVD approachis that no CSI is required due to the interference spaceestimation in (16)(18). However, both of the precoding

    algorithms in [17,18] do not consider the interference fromthe primary network to the CR receiver, which eventually

    leads to rate loss for the CR link.

    4. Proposed precoding schemes

    In this section, we elaborate the CR precoding duringthe primary downlink.1 When incorporating the primary-CR interference, the precoding problem for the CR Tx

    during the primary downlink can be expressed as follows

    maxF

    log2 det

    I +

    HFFHHH

    Z + 2n I

    (11)

    subject to Tr{FFH} Pcr (12)

    Tr{GkFF

    H

    G

    H

    k } k, k = 1, . . . , K. (13)The constraints on the CR transmission power and the

    maximum allowed interference perceived at each primaryuser are given by (12) and (13), respectively. In (13), Gk C

    MkMt is the channel matrix from the CR Tx to the kth

    primary user. Thus, the channel matrix from the CR Tx toall primary users becomes HHut = [G

    T1 , . . . , G

    TK]

    T due tochannel reciprocity.

    Then, the precoding matrix for CR transmission during

    the downlink can be written as [22]

    Fd = Ud (dI 1d )

    +

    12 (14)

    where d is the power level for the water-filling algorithmand Ud is obtained through the following eigenvaluedecomposition (EVD)

    UddUHd = H

    H(Z +

    2n I)

    1H

    = (I UGUHG )

    HHH(Z + 2n I)1H(I UGU

    HG ). (15)

    Similar to the P-SVD precoding, the precoding matrixgiven by (14) is a suboptimal solution for the optimization

    problem (11)(13) due to the fact that it tightens theconstraint (13) by forcing k to 0.

    1 A similar precoding for the primary uplink can be easily obtained,

    which is ignored here for brevity.

    In (15), the effective CR channel matrix is definedas H H(I UGU

    HG ), where UG is estimated by

    decompositing the CR received signal covariance matrixinto signal and noise subspaces. It can be expressed as

    Rut =1

    LS

    LS

    i=1 rut(i)rHut(i) (16)

    = UUH (17)

    = UGGUHG + UnnU

    Hn . (18)

    In (16), rut(i) = Hutxu(i)+n(i) is the ith received symbol atthe CR Tx, and its estimated covariance matrix is denotedas Rut. An EVD is then performed on Rut in (17), where =diag(1, . . . , Mt) is a diagonal matrix with descendingly

    ordered eigenvalues of Rut. It is further decomposed into

    interference and noise components in (18) with UG and Unbeing the first Kp = rank(Hut) and the remaining (Mt Kp)

    columns of U, respectively, and G and n being their

    corresponding eigenvalue matrices.It can be seen from (14) and (15) that in order toobtain the CR precoding matrix, the interference-plus-noise covariance matrix Rur Z +

    2n I needs to be

    estimated at the CR Rx, besides the estimation of theinterference subspace UGU

    HG at the CR Tx.

    4.1. Full-projection-based precoding

    To enable the estimation of UGUHG and Rur, we propose

    an enhanced precoding scheme, which is demonstrated inFig. 2. Each CR cycle consists of sensing and transmissionphases. We name the CR transmission during the primary

    downlink as T1 and uplink as T2. For T1, the space UGU

    H

    G isestimated at theCR Tx during the primary uplink accordingto (16)(18) over LS1 symbols. The estimation of Rur isperformed at the CR Rx at the beginning of the primarydownlink for a batch ofLS2 symbols via a procedure similarto (16). After obtaining these two estimates, the CR Txstarts transmission T1 using the precoding matrix obtainedby (14). Then T2 follows immediately after T1 but rightbefore the sensing phase for the next CR cycle. The CRprecoding matrix for T2 can be obtained by other twosensing sessions concurrent with the sensing phase for T1.This precoding scheme fully projects its transmission ontothe estimated null space of the CR-primary interferencechannels. Therefore, it is termed as FP precoding.

    It can be seen from Fig. 2 that the proposed FP precodingscheme shifts the CR cycle of the SP precoding rightwardsin time. By doing this, several benefits are obtained.Firstly, introducing CR Rx sensing phases improves theCR throughput by incorporating the interference-plus-noise covariance matrix into precoding. Secondly, shiftingthe CR cycle diverts part of the CR transmission fromthe primary downlink to the uplink which reduces thetime that primary Rxs expose themselves to CR-primaryinterference. This is beneficial to the primary network,since primary users are usually more susceptible tointerference than the primary BS.

    Theoretically, the proposed FP precoding can com-

    pletely mitigate the CR-primary interference if there is noerror in the interference space estimation (18). However,

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    its IM ability degrades rapidly when the CR interference-to-noise ratio, INR 2ut/

    2n , drops below a threshold.

    This is due to the fact that in (18) some components in thenoise subspace may swap with those in the interferencesubspace when the noise amplitude n is relatively largecompared to the interference channel gain ut. This phe-nomenon is known as a subspace swap2 [25].

    For low INR, the interference subspace has a highprobability to swap with the noise subspace. When asubspace swap happens, (15) can be rewritten as

    UddUHd (I UnU

    Hn )

    HHH(Z + 2I)1H(I UnUHn )

    = UGUHG H

    H(Z + 2I)1HUGUHG (19)

    which means that Fd and HHut span the same space. Thus, the

    average CR-primary interference at low CR INR becomes

    IFPl = E{Tr{HHutFdF

    Hd Hut}} Pcr

    2ut. (20)

    This suggests that the average interference power atprimary users is proportional to the channel gain between

    CR and primary users at low CR INR.The average CR-primary interference in the high CR INR

    regime can be expressed as

    IFPh = E{Tr{HHutUd(dI

    1d )

    +UHd Hut}} (21)

    = E{Tr{HHut(Ud Ud)(dI 1d )

    +

    (Ud Ud)HHut}} (22)

    E{Tr{HHut(XHHut)

    NHUd(dI

    1d )+Ud

    HN(HHutX)Hut}} (23)

    = 2n PcrE{Tr{HHut(X

    HHut)(HHutX)

    Hut}} (24)

    =2n Pcr

    LS1Tr{Qu} (25)

    where (22) is due to the fact that HHutUd = 0; (23) is

    obtained using the fact that Ud Ud (XHHut)

    NHUdfor high INR [26] with X [xu(1),xu(2) , . . . ,xu(LS1)],and N [n(1), n(2) , . . . , n(LS1)]; (24) follows from theindependence of XHHut and N and E{N

    HYN} = 2n Tr{Y}I

    for any matrix Y. Note that Qu E{xuxHu } in (25) is

    the transmit covariance matrix for the primary user. Aninteresting fact can be observed from (25) that at high CRINR the average CR-primary interference does not depend

    on the interference channel Hut. It is proportional to thechannel noise 2n and inversely proportional to the sensinglength LS1.

    4.2. Partial-projection-based precoding

    The PP precoding works in a similar manner to theabove proposed FP precoding except for the selection ofthe interference space. For the downlink CR precoding, a

    subspace UmUHm partially spanning the interference space

    is obtained by choosing m eigenvectors corresponding to

    2 The lower bound on the probability of the subspace swap has been

    investigated in [23,24].

    the first m largest eigenvalues of in (17), where m canbe determined according to various criteria. One candidatecriterion is

    Mmini=m+1

    i

    mi=1

    i

    rt/d (26)

    with Mmin min(Mt,K

    k=1 Mk). We call rt/d the trivialover dominant interference ratio (TDIR). This selectionprocess chooses m dominant interference subchannels toform an estimate of the interference space and ignoresthe other (Mmin m) trivial ones. Finally, substituting the

    estimated subspace UmUHm for UGU

    HG , the precoding matrix

    Fd for the downlink CR transmission can be obtained via(14). However, we may fail to find a value of m satisfying(26). In this case, the proposed FP precoding is used.

    The joint probability density function (PDF) of the

    ordered eigenvalues

    [1, 2, . . . , Mmin ] ofRut, with1 2 Mmin

    2n is [27]

    f(1, 2, . . . , Mmin )

    =1

    PpMmin

    f

    1

    2n

    Pp,

    2 2

    n

    Pp, . . . ,

    Mmin 2

    n

    Pp

    (27)

    where Pp is the transmission power of each primary user

    antenna and f(1, 2, . . . , Mmin ) with 1 2

    Mmin is given by

    f(1, 2, . . . , Mmin )

    =

    Mmini=1

    ei MmaxMmini

    Mmin 1i=1

    Mmin

    j=i+1

    (i j)2

    Mmini=1

    (Mmax i)!Mmini=1

    (Mmin i)!

    (28)

    with Mmax max(Mt,K

    k=1 Mk). Therefore, the probabil-ity for the occurrence of(26) is

    pm = Sf(1, 2, . . . , Mmin ) d1 d2 dMmin (29)

    where S {(1, 2, . . . , Mmin )| (26) 1 2

    Mmin 2

    n }.In other words, for the PP precoding scheme the

    probabilities of using the genuine PP (m satisfying (26)exists) and using FP are pm and (1 pm), respectively.

    Therefore, the CR Tx uses (1 pm)K

    k=1 Mk + pmm

    andK

    k=1 Mk degrees of freedom (DoF) for IM in the PPand FP precoding schemes, respectively. This means thatcompared to the proposed FP precoding the PP precoding

    scheme transfers pm(K

    i=1 Mk m) DoF from interferencemitigation to CR transmission, which leads to a higherthroughput for the CR link. It can be seen from (27)(29)

    that in the large INR regime, pm is fixed for a given noisepower 2n and Pp. Considering the fact from (25) that at

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    Fig. 3. CR throughput under different precoding schemes ( Mt = Mr =4, Mbs = 2, K = 2, M1 = M2 = 1, LS1 = LS2 = LT2 = 50, LT1 =350, 2H =

    2ut = 1, Pcr = 1, and rt/d = 0.1).

    high INRs the average interference power of FP IFPh is fixed

    and the average interference power resulting from real

    PP IPP is proportional to the square of the interference

    channel gain 2ut, the overall average interference of the PP

    precoding IPPh = pmIPP+(1pm)I

    FPh is linearly proportional

    to 2ut for large INRs.

    5. Numerical results & discussions

    Consider a scenario where a CR MIMO system coexists

    with a primary TDD system which has one 2-antenna

    BS and two single-antenna users. We assume that thenumber of antennas for primary users is known to the

    CR system. Therefore, the rank estimation of Kp used in

    (18) is not needed in our simulations. Each CR node is

    equipped with four antennas. The primary network works

    as a downlink-broadcast and an uplink multiple-access

    system. The transmission power of the CR and primary

    networks is 1. All the obtained results are averaged over

    2000 simulation runs.

    First, we evaluate the throughput of the CR systemwith theproposed precodingschemes overdifferent valuesof signal-to-noise ratios, SNR 2H/

    2n . In Fig. 3, the

    throughputs (average mutual information in (11)) of thetwo proposed precoding schemes are compared with thatof the SP precoding of [17,18] and the P-SVD precodingwith perfect CSI of [14]. It can be seen that the proposed

    FP/PP precoding schemes lead to higher CR throughputthan the SP precoding, and the throughput gain becomeslarger as the SNR increases.

    Fig. 4 evaluates the impact of CR INR on the CRthroughput and the resulting CR-primary interferenceunder different precoding schemes. It has the same setupas that of Fig. 3 with 2n = 10

    4. By comparingFig. 4(a) with Fig. 4(b), it can be seen that the proposedFP/PP precoding schemes outperform the SP counterpartat low INRs, since they lead to higher CR throughputwithout introducing extra interference. At high INRs, boththe proposed FP and SP precoding schemes have fixedinterference, and there is a fairly good agreement between

    the derived andsimulated interference of the FP precoding.Another phenomenon which can be seen from Fig. 4(b)is that the interference of the SP precoding is slightlysmaller than that of the FP precoding. This is due to thefact that the sensing of the SP precoding is longer than theuplink sensing of the FP precoding. Moreover, at high INRsthe interference of the proposed PP precoding is linearlyproportional to the CR INR, which supports our analysis inSection 4.2.

    6. Conclusions

    In this paper, two SP-based precoding schemes, namely,

    FP and PP precoding, have been proposed for CR MIMO sys-tems to mitigate the CR-primary interference and improvethe CR throughput. These two precoding schemes are capa-ble of estimating the CSI of primary-CR interference chan-nels and can account for the primary-CR interference viaa novel sensing approach. Therefore, no extra signaling isrequired between primary and CR systems, which conse-quently eases the deployment of CR networks. The perfor-mance of the proposed precoding schemes has also been

    a b

    Fig. 4. (a) CR throughput and (b) resulting interference of different precoding schemes (Mt = Mr = 4, Mbs = 2, K = 2, M1 = M2 = 1, LS = 100, LS1 =LS2 = LT2 = 50, LT1 = 350,

    2H = 1, Pcr = 1, rt/d = 0.1, and

    2n = 10

    4).

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    Z. Chen et al. / Physical Communication ( ) 7

    evaluated. It has been demonstrated that the FP precod-ing can boost the CR throughput without introducing extraCR-primary interference in the low INR regime. The PP pre-coding can further improve the CR throughput if the pri-mary system can tolerate some extra interference.

    Acknowledgments

    The authors acknowledge the support from the RCUKfor the UKChina Science Bridges Project: R&D on (B)4GWireless Mobile Communications. Z. Chen, C.-X. Wang,and J. Thompson acknowledge the support from the Scot-tish Funding Council for the Joint Research Institute inSignal and Image Processing between the University ofEdinburgh and Heriot-Watt University, as part of theEdinburgh Research Partnership in Engineering and Math-ematics (ERPem). Z. Chen and S. A. Vorobyov acknowledgethe support from the National Science and EngineeringResearch Council (NSERC) of Canada. F. Zhao acknowledgesthe support from the National Natural Science Founda-tion of China (NSFC) (Grant No.: 61172055). C.-X. Wangand F. Zhao acknowledge the support of the Key Lab-oratory of Cognitive Radio and Information Processing(Guilin University of Electronic Technology), Ministry ofEducation, China (Grant No.: 2011KF01). X. Ge acknowl-edges the support from the NSFC (Grant No.: 60872007),National 863 High Technology Program of China (GrantNo.: 2009AA01Z239), Hubei Provincial Science andTechnology Department (Grant No.: 2011BFA004), andthe Ministry of Science and Technology (MOST) of China,International Science and Technology Collaboration Pro-gram (Grant No.: 0903).

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    Zengmao Chen received his B.Sc. degree fromNanjing University of Posts & Telecommunica-tions (NUPT), China, and his M.Eng. degree fromBeijing University of Posts and Telecommunica-tions (BUPT), China, in 2003 and 2006, respec-tively, and his Ph.D. degree from Heriot-WattUniversity, UK, in 2011.

    Dr. Chen is now a Post-doc Research Asso-ciate with the Joint Research Institute for Signaland Image Processing, Heriot-Watt University,UK and the Network Manager for the UK-China

    ScienceBridges: R&D on (B)4G Wireless Mobile Communications project.From September 2009 to December 2009, he was a visiting researcher

    in the University of Alberta, Canada. From 2006 to 2007, he worked as aResearch DesignEngineer in Freescale Semiconductor (China) Ltd. His re-search interestsinclude: cognitive radio networks, MIMO communicationsystems, interference modeling, and interference cancellation.

    Cheng-Xiang Wang received his B.Sc. andM.Eng. degrees in Communication and Informa-tion Systems from Shandong University, China,in 1997 and2000, respectively, and hisPh.D. de-gree in Wireless Communications from AalborgUniversity, Denmark, in 2004.

    He has been with Heriot-Watt University,Edinburgh, UK, since 2005, first as a Lecturer,then asa Readerin 2009,and then waspromotedto a Professorin Wireless Communications since2011. He is also an Honorary Fellow of the Uni-

    versity of Edinburgh, UK, a Chair Professor of Shandong University, aGuestProfessor of Huazhong Universityof Scienceand Technology,an Ad-junct Professor of Guilin Un iversity of Electronic Technology, and a Guest

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    Researcher of Xidian University, China. He was a Research Fellow at theUniversity of Agder, Grimstad, Norway, from 2001 to 2005, a Visiting Re-searcher at Siemens AG-Mobile Phones, Munich, Germany, in 2004, anda Research Assistant at Technical University of HamburgHarburg, Ham-burg, Germany, from 2000 to 2001. His current research interestsincludewireless channel modeling and simulation, green communications, cog-nitive radio networks, vehicular communication networks, mobilefemto-cell networks, cooperative (relay) MIMO communications, and (beyond)4G wireless communications. He has edited 1 book and published 1 book

    chapterand over 150papersin refereed journals andconference proceed-ings. He is leading several projects funded by EPSRC, Mobile VCE, and in-dustries, including the RCUK funded UKChina Science Bridges: R&D on(B)4G Wireless Mobile Communications.

    Prof. Wang is currently serving as an Associate Editor for IEEE Trans-actions on Vehicular Technology, an Editor for Wireless CommunicationsandMobile ComputingJournal(John Wiley & Sons)and Securityand Com-munication Networks Journal (John Wiley & Sons), and a Scientific BoardMember for InTech (Open Access Publisher). He also served as an Edi-tor for IEEE Transactions on Wireless Communications (20072009) andHindawi Journal of Computer Systems, Networks, and Communications(20072011). He was the leading Guest Editor for IEEE Journal on Se-lected Areas in Communications, Special Issue on Vehicular Communica-tions and Networks. He served or is serving as a TPC member, TPC Chair,and General Chairfor morethan 60 international conferences.He receivedtheIEEE Globecom10 Best Paper Award in 2010 andthe IEEE ICCT11 BestPaper Awards in 2011. Dr Wang was listed in Dictionary of International

    Biography 2008 and 2009, Whos Who in the World 2008 and 2009,Great Minds of the 21st Century 2009, and 2009 Man of the Year. Heis a Senior Member of the IEEE, a Fellow of the IET, a Fellow of the HEA,and a member of EPSRC Peer Review College.

    Xuemin Hongreceived his B.Sc. degree in Com-munication Engineering from Beijing Informa-tion Science and Technology University, China,in 2004 and his Ph.D. degree in Wireless Com-municationsfrom Heriot-Watt University, UK, in2008. Since July 2011, he has been an AssociateProfessorwith theSchoolof Information Scienceand Technology, Xiamen University,China. FromAugust 2009 to July 2011, he was a Post-docResearch Associate with the Joint Research In-stitute for Signal and Image Processing, Heriot-

    Watt University, UK. From January 2009 to July 2009, he was a Post-docResearch Fellow with the Department of Electrical and Computer Engi-neering, University of Waterloo, Canada. From 2004 to 2005, he was af-filiated with the Centre for Telecommunication Research, Kings CollegeLondon, UK.

    Dr.Hongsresearch interestsinclude MIMOand cooperative systems,wireless radio channel modeling, cognitive radio networks, and (beyond)4G wireless communications. He has published more than 20 technicalpapers in major international journals and conferences and 1 book chap-ter in the area of wireless communications.

    John Thompson received his B.Eng. and Ph.D.degrees from the University of Edinburgh in1992 and 1996, respectively. From July 1995to August 1999, he worked as a postdoctoralresearcher at Edinburgh, funded by the UK

    Engineering and Physical Sciences ResearchCouncil (EPSRC) and Nortel Networks. He wasappointedas a lecturer atwhat isnow theSchoolof Engineering at the University of Edinburgh in1999. He was recently promoted to a Professorand a personal chair in Signal Processing and

    Communications.Prof. John S. Thompsons research interests currently include energy

    efficient communications systems, antenna array techniques and multi-hop wireless communications. He has published over 200 papers todate including a number of invited papers, book chapters and tutorialtalks, as well as co-authoring an undergraduate textbook on digitalsignal processing. He is overall project leader for the 1.2M EPSRC Islayproject involving four universities which investigates efficient hardwareimplementation of complex algorithms. He is also the academic deputyleaderfor the2M EPSRC/Mobile VCEGreen Radio project,which involvesa number of international communication companies. He is currently

    editor-in-chief of the IET Signal Processing journal and was a technicalprogram co-chair for the Globecom conference in Miami in December2010.

    Sergiy A. Vorobyovreceived the M.Sc. and Ph.D.degrees in systems andcontrol from Kharkiv Na-tional Universityof RadioElectronics, Ukraine, in1994 and 1997, respectively.

    Since 2006, he has been with the Depart-ment of Electrical and Computer Engineering,University of Alberta, Edmonton, AB, Canadawhere he becamean AssociateProfessorin 2010and Full Professor in 2012. Since his gradu-

    ation, he also occupied various research andfacultypositionsat the Kharkiv National Univer-

    sity of Radio Electronics, Ukraine; the Institute of Physical and Chemi-cal Research (RIKEN), Japan; McMaster University,Hamilton, ON, Canada;Duisburg-Essen University and the Darmstadt University of Technology,Germany; and the Joint Research Institute between the Heriot-Watt andEdinburgh Universities, UK. He also held visiting positions at the Tech-nion, Haifa, Israel, in 2005 and the Ilmenau University of Technology, Il-menau, Germany, in 2011. His research interests include statistical andarray signal processing, applications of linear algebra, optimization, andgame theory methods in signal processing and communications, estima-tion, detection, and sampling theories, and cognitive systems.

    Dr. Vorobyov is a recipient of the 2004 IEEE Signal Processing Soci-ety Best Paper Award, the 2007 Alberta Ingenuity New Faculty Award,the 2011 Carl Zeiss Award (Germany), and other awards. He was an As-sociate Editor for the IEEE TRANSACTIONS ON SIGNAL PROCESSING from2006 to 2010 and for the IEEE SIGNAL PROCESSING LETTERS from 2007

    to 2009. He is a member of the Array and Multi-Channel Signal Process-ing and Signal Processing for Communications and Networking TechnicalCommittees of IEEE Signal Processing Society. He has served as a TrackChair in Asilomar 2011 and as a Technical Co-Chair in the IEEE CAMSAP2011.

    Feng Zhao was born in 1974. He received hisPh.D. degree in Communication and Informa-tion Systems from Shandong University, China,in 2007. Now he is a Research Associate in theSchool of Information and Communications ofGuilin University of Electronic Technology. Hisresearch interests include wireless communica-tion systems, information processing, and infor-mation security. He has published more than

    30 papers in journals and international confer-ences.

    Xiaohu Ge is currently a Professor with the De-partment of Electronics and Information Engi-neering at Huazhong University of Science andTechnology (HUST), China. He received his Ph.D.degree in Communication and Information En-gineering from HUST in 2003. He has worked atHUST since Nov. 2005. Prior to that, he workedas an assistant researcher at Ajou University(Korean) and Politecnico Di Torino (Italy) fromJan. 2004 to Oct. 2005. He was a visiting re-searcher at Heriot-Watt University, Edinburgh,

    UK from June to August 2010. His research interests are in the area of

    mobile communications, traffic modeling in wireless networks, greencommunications, and interference modeling in wireless communications.He has published about 50 papers in refereed journals and conferenceproceedings and has been granted about 10 patents in China. He is lead-ing several projects funded by NSFC, China MOST, and industries. Heis taking part in several international joint projects, such as the RCUKfunded UKChina Science Bridges: R&D on (B)4G Wireless Mobile Com-munications and the EU FP7 funded project: Security, Services, Network-ing and Performance of Next Generation IP-based Multimedia WirelessNetworks.

    Prof. Ge is currently serving as an Associate Editor for InternationalJournal of Communication Systems (John Wiley & Sons) and KSII Trans-actions on Internet and Information Systems. Since 2005, he has beenactively involved in the organization of more than 10 international con-ferences, such as Publicity Chair of IEEE Europecomm 2011 and Co-Chairof workshop of Green Communicationof Cellular Networksat IEEE Green-Com 2010. He is a Senior Member of the IEEE, a Senior member of the

    Chinese Institute of Electronics, a Senior memberof the China Institute ofCommunications,and a memberof theNSFCand ChinaMOST Peer ReviewCollege.