Symbol Repetition and Power Re-allocation Scheme for Orthogonal Code Hopping Multiplexing Systems Bang Chul Jung, Jae Hoon Clung, and Dan Keuii Sung CNR Lab.. Dept. of EECS.. KAIST. 373-1. Guseong-dong. Yuseong-gu. Daejeon. 305-70 I _ KOREA on OFDM have been proposed including OFDMA; FHOFDMA. OFDM-TDMA. MC-CDMA. and OFDM-CDM 1.11. Especially, a variable spreading factor (VSF)-OFCDM scheme wluch changes the sprading factor of OFCDM according to the given cell struchire and radio link conmtions is v e n attractive [SI. 161. An orthogonal code hopping multiplexing (OCHM) sclieiuc has been proposed to accoimnodate more low-activity bnrst! users t l a n the number of orthogonal downlink code words 171. [8]. It utilizes statistical multiplexing for orthogonal downlink in DSKDMA systems. Since each uscr cominuiucatcs ivitli base station (BS) through a given orthogonal code hopping pat1. INTRODUCTION tern (HP). signaling messages for allocation and de-allocation Rccently. data traffic luis rapidly increased in wireless of orthogonal codewords are not needed diuing a session. comniunication systems. From this trend. data tr'lffic will be HP can be randomly generated based on ,an user specific cxpccted to be dominant in futiue wireless systems. Data number. such as electronic serial number (ESN). Syiiibol wific is inherently bursty and generally exhibits a low channel collisions occur due to transinission of different synibols x t i d y . Furlhennore. there is more downlink traffic tlan with the same 01th0g01~11codeword during code hopping. uplink traffic. Several high speed downlink systems lave been These collisions a t t called perforations and the corresponding proposcd to provide tlus data traffic in wireless link. symbols are not transmitted. These perforations degrade the High speed downlink packet access (HSDPA) has been de- system perfonnance. On the other hand. if all CIUMCI encoded vclopcd vithiii 3GPP framework [ l]. HSDPA provides down- data synibols spread by the same ortliogonal codeword duriiig liiik peak tala rates up to 1IlMbps arid significantly reduces code hopping and identical. then all tlie data synibols with dowilink transmission delay. In order lo achieve lugli data rate code collisions can be transmitted without pcrforation. This trmsiuissioii. several sclieines have been proposed including effect is called syneqy [7]. The coiyentional symbol collision :id;iplivc modulation and coding (AMC). hybrid aotoinatic mitigation methods use a strong coding gain of turbo codes lupe;ii request (HARQ). fast cell selection (FCS). and multiple- or a log-likelihood ratio (LLR) re-computation according to the perforation probabilih [9]. In this paper. 'we propose a input innltiple-output (MIMO) antemla processing. The cdn1a.)IJ0(1 IsEV-DO standard [2] provides a bandwidth symbol repetition and power re-allocation scheme to reduce cficiciit :nld lugli-speed wireless data service by supporting tlie perfomtion effect in OCHM systems. Siinulation results \.;irioiis data rates according to given channel conditions in sliow that the proposed scheme greatly reduces the perforation both uplink and downlink. Tlie data rate is deteniiined by effect and saves the required EIJ& for given fraiiie error using fecdback infoniiation from the receiver. Tlus system rates (FER). This paper is organized as follows: The proposed . provides only data traffic and uses time division inultiplexing OCHM system is introduced in Section 11. LLR coinputation Tor doivnliik. Themfore. one user can receive data at a time. for synibol repetition is described in Section 111. The perforOrthogonal frequenq division niultiplesing (OFDM) is the mance of the proposed scheme is evaluated i n tenns of tlic nlost promising technique for high-speed data transmission required Eb/No for a 1% FER by siinulation in Scction IV. over freqiienq selective fading channels. In OFDM systems. a Finally. conclusions are presented in Section V. high-rate data stream is split into lower-rate data smains and 11. PROPOSED REPETITION AND PC)\VER RE-~\lLOC.-~I'IOX tliesc dat:i are transmitted siinultaneously 131. Tluough parallel SCHEME FOR OCHM SYSTEiIS rr:insiuission over a frequency sclective fading channel. the clTcctivc symbol duration becomes long. coinpared to delay . A Repetition and Power Re-allamtion :I Iechani.w sprcad ;ind each subcanier can be assumed lo experience Tlie OCHM system utilizes a user specific random hopping llai hding. Recently. many inultiple access techniques based patlem lo allocate a code channel to a new nser. An orthogoixil . . I h ~ n . ~ - W e propose 11 sjmbol repetition and power reiillimifiim scheme to irduce >I collision effect in orthogonal urdr hopping multiplexing (OCHM) systems. Each mapped symbol is repciitcd IV times and an OCHM scheme is applied Iiir downlink tviinemission. Through repetitions. the perforation cftbct is drrcntralizrd among the repeated symbols and the full yrIiaption piyhability is signilicsntl?. reduced. Transmit power I rc-itllocared among the repeated symbols to protect symbols t r p i r d l c s r of the number perforations in repented symbols. Siniul;ition results show that the proposed scheme raves the wquircd c n c r u by 4dB in independent Rnylri@ fading channels fiw il frnmc crr0v n i l e (FER) vdue of 1%when the perforation pruhahilit! is 11.2.').


0-7X03-860 I -vinu%2o.no0 2 0 0 IEEE. ~


scheme and it causes perfoniance degradation. Note that the power allocated to Symbol 1 is different from that of Symbol 2. Since two syinbols have a different nuniber of perforation symbols. the nuniber of remaining syinbols is also different. We propose to adjust the power level of remaining symbols to Iuve tlie same energy regardless of the number of perforations. in order.10 recover the original synibol at thc recciver. Through this process. we can protect all symbols eqii;illy iinlcss tlic splilbol esperienccs a Cull perroration. B. Hopping Pollerit ~ollisionPmhahilih.


the pr~~pi.ved

qvstrn1s The hopping pattern collision probability of die coineiitional OCHM system can be expressed as:

where b is clunnel actirih. .Vac: is number of onliogoilal codewords. and K is the nuniber of active users in a cell. F0r.a given channel activity 1.'. Pc increases as tlie nuniber of active users increases. C. Per@rotinn Prohobilip of Encoiied Doto .Sunhol.~in die Proposed Schenie


codc hopping pattcni allocated to 3 user is independent among Iiscrs :ind nrdy caiisc a hopping p m e r n collision between hvo or iiiore users with tlic sanie code ctumiel at a specific time diiriiig code hopping. n-ldch can be detected by the BS in dowiilink. If tlie hopping pattern collision occurs. BS compares iiscr d:iiii and detcniuoe a.hetlier it results in s v n e ~ vor p e r / i ~ r ~ n i oWlieii n all tlic symbols of the users with a colliding hopping pattern are not the same. a perforation occurs and all &II:I symbols collided are not tmnsniittcd during the symbol iiine 171. Fig. I sho\~sa synergy. perforation. and the power allocation process i n the coiwentioiul OCHM systein. The perforation iind synerg! occur in Symbols 2 and 4. respectively. The cncrgy of Sytiibol 4 becomes large due to tlie synergy efrecl Tlic perforated symbols are removed fmin the f m n e in the coin.entioilal OCHM %stein. which causes perfonnance dcgrtidalion. lr ii synbol .is repcated. tlic same infonnation inay esist iii ii rralne when perforations occur randomly. Fig 2 shows ii syiicrg!. pcrforation. and the power allocation process in IIIC proposcd OCHM system using synibol repetitions. Each synbol is rcpeated 4 times and the repeated symbols may bc Ixdorated. Symbols 1 and Y have hvo and one perfoialioiis. irspectnely. Repeated synibols from Syiiibol 5 are all pcrforated. We define a portio1 perforation in which the xpciitcd symbols are perforated less than the number of repelitions (e.g. Symbol 1.2.atid 3) and a /id/ perfororion in \VIIICII all repeated synibols are perforated (e.g. symbol 5). If ii synibol experiences tlie partial perforation the remaining s\ iiibols are wed for decoding the original syiiibol. However. iT :I s! inbol soITers from the full perforation. the original syinbol can no1 be recovered without any clunnel coding

The perforation probability of ciicoded symbols conventional OCHM-systetns is written as:



is the probability of iiiodulation s p i b o l ; E - 1). For BPSK. there are Y symbols (.Y = 2 ) . The original symbol perforation probabilih of the proposed OCHM system using the symbol repetitions can be expressed where


{I]> l > ?..., , s


Pp,,v = 1 - ( I - PP)A


where N is the nuniber of syiibol repetitions. The origiiwl synibol indicates a coded symbol before the symbol rcpetitioii process. Eq. (3) represents the probability tlut tlie origiilal synibol I u s more than one perforation among N repeated symbols. The paflial perforation probabilih of an original symbol is written as:



P ( m perforations

I A'


Eq. (4) has a binomial distribution with nn cvcni probability of Pp. The partial perforation effect can be mitigated through the power re-allocation process. as sho\vn in Section 11-A. The full perforation probabilily of an original symbol is .. given as: Pfp.N


(Pp) .


If a symbol experiences a full perforation. the symbol cannot be recovered at the receiver with an?. channel coding scheme







a i d i t c:nIses perfoniiance degradation. As the number of

:.' i




foration probability of tlie conventional OCHM system (P,,). irpclitioiis increase. tlic fii11 collision probability significantly The original symbol perforation probability increases. but tlie dccre:ises.. full perforation probability decreases as thc number of symbol Tlic efkctive number of repeated symbols in perforation is repetitions increases. \\nuen as: If N symbol repetitions are used a1 the t"ittcr. t l data ~ rate is reduced by l/N. This is tlie same data rate as the systcm with a N-times larger spreading factor. If we use a larger spreading factor. the number of wailable ccdewords incrc;iscs - N ,P> ( 6 ) and the perforation probability deceases. For a given data m e requiring a spreading factor of we can choose a spreading Froin Eq. (6). the cfkctive perforation probability of a sym- factor of N,,/N w2ith N symbol repetitions or a spreading bol (+:,,,,,~,/Y) is the same as tlie symbol perforation prob- factor of NsJ with no symbol repetitions. Fig 5 cornpiires tlic ;ibilit\ i n the conventional OCHM systems. full perforation probability of the proposed OCHM s!stciii Fig ?. sIio\vs tlie perfomtion probability of the proposed willi the perforation probability of the comcntional systciii OCHM s!stciii. The perforation probabiliF increases as the with tlie same data rate. The full perloration probability diniiinbcr of active users incrcases. In tlus fibmre. we assume rectly affects tlie system perfoniiance in the proposed OCHM lliiil the iiiiiiiber of repetitions is 4 and the channel activity is system because the partial perforation effect can be mitigaled SCI at 11. I . Tlic number of orthogonal code channels is 64. The tluougli tlie paver re-allocation scheme. The dotted lines and original s~nibolperforation probability as noted in Eq. (3) is solid lines indicate the full perforation probabilities of tlic I q c r tlliiii symbol perforation probability of the conventional proposed OCHM systems and the perforation probabilities of OCHM system. but Uie full perforation probability is much the conventional OCHM system u,itli the same data ratc. siiliiller tlian for tlie conventional one. If the number of respectively. The proposed OCHM system yields lower pcr;iclivc users is 350. Ihe syinbol perforation probability is foration probabilities than the conventional OCHM system. 1 l . N in ~ h econventional OCHM system. However. in the III. LLR FOR THE PROPOSED OCHM proposed OCHM system. the full perfomtion probability is SYSTEMS :ipproximately U. As the number of synibol repetifions increases. tlie original A soft-input decoder of tuho codes requires a cliannel symbol perforation probability itself increases in tlie proposed modulator output as a form of likelihood function [IO]. [ I I]. OCHM s!stcni. but the full perforation probability exponen- If we transmit z and receive y in comentional BPSWQPSK. ii;illy decreases as noted before, Fig 4 shows the perforation the LLR is elpressed as: probability for varying the number of symbol repetitions. In this figurc. wc assume that tlie number of symbol repetitions \;irics from 2 IO 8. and tlie channel activity is 0.1. The number of orthogonal code CII~IUEIS is 64. Tlie'daslied lines and dorted lines kpresent the original symbol perforation probabilit! (/',,.:.) and tlie fiill perforation probability ( P ~ , , Nof ) tlie itpetition scheme. respectively. The solid line shows the per-


10th Asia-Pacific Conference on Communications and 5th International Symposiurn on Multi-Dimensional Mobile C o m n i c a t i o n s

. .

Cumpwism full perforation probability of the proposed OCHM s s d the perforation probability of the eoiweiitional system with the d m rate

Fig. j. rytrai bill,,<

Tlic LLR for an AWGN channcl can bc coiiiputcd as: L(.XI{/)


3 . y:


0 ' represents the noise variance. Tlie LLR is pmportioiial to the received symbol amplitude y in AWGN channels. If the channel experiences fading. the LLR is computed as:



= (I. f . y


wlicre I I represents the fading amplitude. I n the proposed OCHM system. the modulated symbols are repeated A' times. Therefore, hr channel modulator outputs are combined together to generate an LLR for the corresponding symbol. The probability of 'conditioned z in AWGN channels can be expressed as:


where !/, is the i-Ui repeated symbol and hr is the nuniber of symbol repetitiom. For a BPSK. .T is f l or -1. We compute the LLR of the proposed OCHM system using.Eq. (10). The LLR with A' symbol repetitions i n AWGN channels is written as. A'

i Tlie LLR is proportional to the summation of the repeated symbol amplitude. Similarly. the LLR in fading channels is expressed as:


.. . ., .


Fig. 6. FER perfom~anceof the proposed OCHM syslcm in AWGN clintu~els

where ai is the fading amplitude of the I-th repeated symbol. Tlmugh the symbol repetitions. the diversity gain can be achieved at the receiver. as shown in Eq. (12). If the fading is independent between symbols and there are no collisions among N repeated symbols. then the diversity order reaches

N. Iv. SIMULATION RESULTS Simulations are performed in both AWGN channels and Rayleigh fading channels. BPSK modulation is used a i d turbo codes are used for a channel encoder. The length of a frame is 1024 bits and the code rate is 1/3. Turbo coding in 3GPP specifications is considered with a decoder using a masimunia-posteriori (MAP) algorithm with maximuin iteration number 8. Symbol perforations are assumed to occur randomly. Fig. 6 i1lM"es the FER performance of the proposed OCHM system versus &/No for various levels of perforation probability in AWGN channels. The number of symbol to meet a given FER repetitions is 4. Tlie required requirement also increases as the perfontion probability increases. Fig 6 shows. the FER result in AWGN channels. The merit of the OCHM system is that it Ius no control overhead to allocate or de-allocate cllannel to users and C:III support more users than tlie maximum number of availablc orthogonal channels in tlie system. However. tlie .perfontion effect degrades the overall system perfomiance incliiding an for a given FER. Therefore. increase in the required tlie design objective for the OCHM systenis is to reduce the additional energy to satisfy a given FER perfonnance when the perforation probability increases. Fig. 7 shows flie FER perfonnance'of the proposed OCHM systeni using four repetitions for different values of perforation probability in fading channels. 1n.this simulation. we assnlnc that the channel is an independent Rayleigh fading channel. If the perforation probability is 30%, the required is about 3.2dB and then additional 3dB energy is needed. compared


v i l l i tliiil llic system !villi no perforation. The proposed OCHM s! s ~ c i i iis appropriale cspecially for accommodating inany iiwdiiiin- and Ion-rate data users. Fig. 8 coiirparcs the required E,/& for an FER requireiiiciil of I X bctween tlie coiwentioiul OCHM system and the proposed OCHM system. The solid and dotted lines iiidic:ilc rlie perfonnancc of the coiwetitioiml OCHM syslem and thc proposed OCHM system. respectively. The relative pcrfomiiiiicc improvement in fading channels is larger t l m lliai in AWGN channels due to a diycrsih effect. even though tlic required I%/:\:,? i n fading channels is generally Iiiglier Lliiiii 111;il in AWGN c1l;iniiels. When the perforation probability is xi'%. h e siwd energy from tlie proposed OCHM system is I dB ;ind 4dB in AWGN and independent Rayleigh fading cli;iiiiiels. respectively. As tlie perforation probability increases. tlic pcrforiiiance improveiiienl also increases.



Thc OCHM sysicm is a liovel statistical niiiltiplcxing system for orlliogonal do\\mliik to accoiiuiiodate inore low-activity bursty users Illan the nuniber of orthogonal downlink cllaruiels. Tlic pcrConnance of OCHM systems is limited by the collision cffcci ;illlong syiiibols. We proposed a syinbol repetition and p o w r rc-allocation scheme tlmt reduces tlie collisioii effects or the coin.entioid OCHM systems. The LLRs for the repaced synbols are computed. Simulation results sliow that [lie proposed OCHM system saves the required enerby inore. comp:ired with the coiiwitiond OCHM system. especially. in iiidcydiidciil Raylcigli fading cliannels.

I I1

'?hy.sxtt/ k q e r o ~ p c 1 . s"{ UTR4 High S p e d Dmmhk / > o d d .:ICCBII , / ? d w w 4i '. X i P I ' TR25.848 V4.0.0. hlir. 2001. 121 ~cJz11i~2lIllU lligli Ilins Packcl Data .Air Inierfacr Spzcificaiion'. ZGPP2. C.SlJU2.I v..I.& Oct.. 2000 131 II. \ a n Ne$ and K. P n ~ d OFD.\I,for . iwirdrss mdrtrriedm coiiimimicui i u m \11cch House Poblislisis. 2000.


Symbol repetition and power re-allocation scheme for ... - IEEE Xplore

Symbol Repetition and Power Re-allocation Scheme for Orthogonal Code Hopping Multiplexing Systems. Bang Chul Jung, Jae Hoon Clung, and Dan Keuii Sung. CNR Lab.. Dept. of EECS.. KAIST. 373-1. Guseong-dong. Yuseong-gu. Daejeon. 305-70 I _ KOREA. En~ail: . . I h ~ n . ~ - W e propose 11 ...

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