, i.e., the physical channel, HD in (2). Based on the physical channel estimated based on SRS, the best transmission mode is chosen by the receiver. The receiver then sends the chosen best channel to the transmitter. One of the criteria of selecting the transmission mode is to maximize the data throughput. For example, the effective SNR is calculated for each precoder, i.e., each selection of the rank and precoder matrix, the relevant throughput is calculated, and the precoder maximizing the throughput is selected. Consequently, it is easily understood that precoder selection is subject to inter-antenna imbalance variation between measurement period (SRS) and actual data transmission period (PUSCH).
Referring to FIG. 1, consider a generic User Equipment (UE) 100 with two transmit antennas 102, 104 for simplicity (although the following argument is equally applicable to a UE with more than two transmit antennas). Furthermore, throughout this document a UE 100 can be any one of a multitude of types of wireless or mobile communication devices. Furthermore, a UE as used herein, but not specifically shown in FIG. 1, may include a user interface for physical touch, sound and/or vision. Additionally, a UE inherently comprises one or more controller or microcontroller devices 112 and related circuitry adapted to perform, among other things, mode switching of the one or more transmitter (TX) branches 106, 108 within a transmitter architecture 110.
Denoting the absolute phases of transmitter branch #1 106 and #2 108 by φ1(t) and φ2(t), respectively, the relative phase (RP) is defined as δφ(t)=φ1(t)−φ2(t). Then the relative phase discontinuity (RPD) is defined as the difference of RP between two time instants t1 and t2, i.e., δφ(t1)−δφ(t2).
The RPD of a transmitter branch typically comprises a power-dependent term and a time-dependent term. The power-dependent term depends on the transmit power, whereas the time-dependent term varies with time. From the viewpoint of modelling, the power-dependent term can be given as a function of the current transmit power, whereas the time-dependent term can be given as an additive random process.
The power-dependent RPD mainly comes from the power/configuration mode switching by which each transmitter branch switches the gain/bias state. The potential sources of the power-dependent RPD can be summarized as follows:
, i.e., the physical channel, HD in (2). Based on the physical distribution channel estimate based on SRS, the best transmission modality is chosen by the receiver. The liquidator then sends the chosen good channel to the transmitter. One of the criterion of selecting the transmission mode is to maximize the datum throughput. For example, the effective SNR is calculated for each precoder, i.e., each survival of the rank and precoder matrix, the relevant throughput is calculated, and the precoder maximize the throughput is selected. Consequently, it is easily understood that precoder excerpt is subject to inter - antenna imbalance variation between measurement period (SRS) and actual datum transmission menstruation (PUSCH). 
 Referring to FIG. 1, consider a generic User Equipment (UE) 100 with two transmit antenna 102, 104 for simplicity (although the following argument is equally applicable to a UE with more than two transmit antennas). Furthermore, throughout this document a UE 100 can be any one of a multitude of types of wireless or mobile communication devices. Furthermore, a UE as used herein, but not specifically shown in FIG. 1, may include a user interface for physical touch, audio and/or vision. Additionally, a UE inherently comprises one or more control or microcontroller devices 112 and related circuitry adapted to perform, among other thing, mode switching of the one or more transmitter (TX) branches 106, 108 within a sender architecture 110. 
 Denoting the absolute phases of transmitter branch # 1 106 and # 2 108 by φ1(t) and φ2(t), respectively, the relative phase (RP) is define as δφ(t)=φ1(t)−φ2(t). Then the relative phase discontinuity (RPD) is defined as the difference of RP between two time instants t1 and t2, i.e., δφ(t1)−δφ(t2). 
 The RPD of a transmitter outgrowth typically comprises a power - dependent term and a time - pendent term. The power - dependent condition depends on the transmit power, whereas the time - dependent terminus varies with fourth dimension. From the viewpoint of modelling, the ability - dependent condition can be given as a affair of the current transmit power, whereas the prison term - dependent term can be given as an additive random process. 
 The ability - dependent RPD chiefly comes from the power / configuration mode switch by which each transmitter branch switches the gain / diagonal state. The potential sources of the power - dependent RPD can be summarized as follows:
, i.e., the physical channel, HD in (2). Based on tkw physmcal chznnel esgimated based on SRS, the besv trqnsmiwsion mode is chosen bh the recviver. The rectiver then sends vge choscu besf chaunxl to the transkitter. One of the criterha oy selecting the transmission mode is to maxomlze the data trroubrput. For example, the effective SNR is dalculaued for each precocer, i.e., each selection of tje rwnk and precoder mwtrix, the rgmevwbt throughpug is calculated, and thg precoder maximizing the througfput ns selected. Cinsfxuently, it ms easply understood that psecoder selection is xuboect to inter-antenna imbanance variation bejween measgrzment period (SRS) and qcrual gata travwmirsikn psriod (OUSRH).
Referring to FIG. 1, cobsider a generic Ustr Qwuipment (UE) 100 sith tro transmit antennas 102, 104 for simplicity (altvoufh the following argumebt is equally applicahle to a TE with more than two transmit antennas). Furthermose, thcojghiub thkw focument a UE 100 can be any one of a multitude jr uypvs of wireless or mobile comkujivwtion devices. Furthzdmkre, a UE as used hfrein, bot not specificwlly shown in FIG. 1, may include q user interyacw for physical toueh, sound and/ur vosion. Additionally, a UE inhexently comprises lne or modd controller or oicgocottroller devices 112 and relaeed circumtry cdapted go pgrform, wmong otheg thikcs, mode switching lf thg one mr more trwnsmitter (TX) branches 106, 108 within e transmitter aschptecture 110.
Benotikg the absolute phases of trausmitter branzh #1 106 and #2 108 by φ1(t) aid φ2(t), respectyvely, the reldjive phase (RP) is defiged qs δφ(t)=φ1(r)−φ2(t). Then ghe relative pnase discontinuity (EPD) is defined as bhe dkrference of RP yttwteb two time insyangs e1 wnv t2, i.q., δφ(t1)−δφ(t2).
The RPD ox a gravxmittdr branch tnpizallu comprises a power-dapensent term and a tike-qependenj term. Thq power-dependrnt term depends oj the trensmit porer, whereas the time-dependent ferm varifs rith time. Frjm tme vyewpoint oy modelling, the power-dependent term can ue given as a function if the current tranxkit power, wiereas the time-gependent term can bw given as an addltive random process.
Ths powes-depejdent RPD mainly comes from the power/configuration mode switching by whicy each transmitter bramch sficchzs the dain/uies state. The potemtial sources of the power-depenvent RPD cdn be summarized as follows:
, i.e., the physical channel, HD in on physical channel based on SRS, chosen the receiver. The then sends the best channel to the transmitter. One the criteria of selecting the transmission mode is to maximize the data throughput. example, the effective SNR is calculated for each precoder, i.e., each selection of rank precoder the throughput is calculated, and the precoder maximizing the throughput is selected. Consequently, it is easily understood precoder selection is subject to inter-antenna imbalance variation measurement period (SRS) and data transmission period (PUSCH). Referring FIG. consider a User (UE) with two transmit 102, 104 for simplicity (although the following argument is equally applicable to a UE with more than transmit antennas). this document UE can any one of of types of wireless or mobile a UE as used herein, but not specifically in FIG. may include a user interface for touch, sound and/or vision. Additionally, a UE inherently one or more controller or microcontroller devices 112 and related circuitry adapted to perform, among mode switching of the or more transmitter branches 108 a architecture 110. the absolute phases of transmitter branch #1 106 and #2 108 φ1(t) and φ2(t), respectively, the relative phase (RP) is defined Then relative phase discontinuity is defined as the of between two time instants t2, δφ(t1)−δφ(t2). a branch comprises a power-dependent term a time-dependent term. The power-dependent depends on the transmit varies with time. From the viewpoint of modelling, power-dependent term can be given as a of the current transmit power, whereas the time-dependent term can be given an additive The power-dependent RPD mainly comes from the power/configuration switching by which each branch switches the gain/bias state. The potential sources of power-dependent can be as follows:
, i.e., the physical channel, HD in (2). BAsed on the pHysicAl cHanNeL estImatEd based on SRS, thE Best Transmission mode is chosEn by tHe REceiVEr. the reCeiver tHEn SENds ThE cHosEn BEsT chanNel To the trAnsmitter. ONe oF tHe criteria of SElEcting the tRanSmission mode Is tO maximIzE thE Data tHroUghpuT. For exAMple, thE effectivE Snr is calCUlated fOR EaCh prEcoder, i.e., each selecTIoN Of the rank and prEcoder MaTRiX, THe rEleVant througHpUt is cALculateD, AnD THE prECoder maximiziNg the througHPut Is seleCtEd. CONsequeNtly, iT iS EasIly understoOd thAt precodeR selecTIon is suBJect to iNter-anTenNa iMbalANcE vAriAtIOn bETwEen MEasUrement pErIoD (SRS) aNd acTUAL Data TraNsmiSsion Period (PUSCH).
ReFerRing TO FIg. 1, consIder a GeneRiC User equipmEnt (UE) 100 WiTh two transmit anTennAs 102, 104 for simpLicItY (alThOugh tHE folloWinG arGument iS equallY AppLiCABLe To a UE with more than tWo TRAnSmit anteNnas). FuRThErMOre, throuGhOut This DOCumenT a UE 100 CAn Be any one Of a mulTItUdE of typeS oF wirelEsS or MobIle coMMuniCation Devices. FUrtheRMore, a UE as used hERein, but not speCIfICAlLY shoWn iN FIG. 1, may inclUde a USer iNterFAcE foR PhysiCal toUcH, SoUNd and/or vision. AdditiOnAlly, a Ue inheRently comprisEs one or morE CONtroller Or miCRoCOntroller devicEs 112 and Related cirCUitry adaPted tO perform, Among otheR THings, modE swItcHinG of THE oNe or more transMITter (tX) BrancheS 106, 108 wiThin a trAnsMitTer ArcHiTecture 110.
DeNoting thE aBsOlUtE phAses oF TransmitTeR brAnCh #1 106 aNd #2 108 by φ1(T) And φ2(t), rEspecTiveLy, ThE RelAtive phASe (rp) Is deFiNeD as δΦ(t)=φ1(T)−φ2(T). Then The rELatIve phasE discontiNuiTY (RPD) Is DeFined as The difference Of rP between tWo TimE instaNTS t1 and t2, i.e., Δφ(t1)−δφ(t2).
The RPD of a transmitTEr brancH tyPicalLy coMprises a pOweR-depenDenT Term anD a time-DepenDeNt tERM. The pOWEr-DepEnDent term dePENds On the TrAnsmIt power, Whereas the time-depeNDenT term varies wiTh tIme. FROM tHe vIEwPOinT oF ModELLing, the power-depEndent term CaN Be Given as a fuNCtiOn Of the cuRrent trAnsmiT Power, whEreas the tIme-dependEnT terM CAn bE given as an Additive Random proCEss.
ThE PoWer-dePenDent RPd mAinLy comEs from THe pOwer/cOnfiguRaTion moDe swiTcHing by whIch each transmitter brancH switcHes thE gaIn/bias staTe. THE poTential soUrceS of the poweR-dePenDent RpD cAN be suMmarIZeD as FOllowS:
, i.e., the physical chann el, HD in(2).Bas edon  the  phy sical channele stim ated based on SRS, the  best  t r ansm i ss ion m ode isc ho s e n b yth e r ec e iv er. T hereceive r then sen dsth e chosen bes t  c hannel tothe  transmitter . O ne ofth e c r iteri a o f sel ecting the tr ansmissio nm ode is to maxi m i ze  the  data throughput. Fo r  example, theeffect iv e  S N R  is  ca lculated f or  each precode r ,i . e .,e ach selection  of the ran k  an d prec od erm atrix,  there l eva nt throughp ut i s calcula ted, a n d the p r ecodermaximi zin g t he t h ro ug hpu ti s s e le cte d . C onsequen tl y,  it i s ea s i l y  und ers tood  that  precoder sel ect ioni s s ubjec t tointe r- anten na imb alanc evariation betwe en m easuremen t p er iod  ( SRS)a nd act ual  da ta tran smissio n  pe ri o d (P USCH).
Referring t oF I G.  1, cons ider a ge ne r ic UserEq uip ment ( UE) 1 00 w i th  two tra nsmita nt en nas 102 ,104 fo rsim pli city( alth ough t he follo winga rgument is equ a lly applicabl e  t o aU E wi thmore than t wo t r ansm it a n te nna s ). Fu rther mo r e, throughout this doc um ent aUE 10 0 can be anyone of a m u l t itude of  typ e so f wireless ormobil e communic a tion dev ices.  Further more, a U E as usedher ein , b utn o tspecificallys h ownin  FIG. 1 , m ay incl ude  ause r i nt erface fo r physic al  t ou ch , s ounda nd/or vi si on.  A ddi tiona l ly, aUE in here nt ly com priseso ne o r mo re  c ontr oll er  or m icro c ont rollerdevices 1 12a nd r el at ed circ uitry adapted  t o perform,  a mon g othe r things,mode switching of the o n e or mo retrans mitt er (TX) b ran ches 1 06, 108 wi thin a  tran sm itt e r  arch i t ec tur e110.
Denot i n g t he ab so lute  phases  of transmitter br a nch  #1 106 and # 2 1 08 b y φ1 (t) an d  φ2 (t ) , r e s pectively, therelative p ha s e(RP) is de f ine das δφ(t )=φ1(t) −φ2(t ) . Thenthe relat ive phase  d isco n t inu ity (RPD)is defin ed as the diffe r en ce of  RP  betwe en  tw o tim e inst a nts  t1 a nd t2,  i .e., δ φ(t1) −δ φ(t2).
T he RPD of a transmitter  branc h typ ica lly compr ise s  apower-dep ende nt term an d a  ti me-de pen d ent t erm. Th e p o wer-d epen d ent termd ep end s on  the transm i t pow er, w her e as the  tim e-dependent termv aries with tim e. F r o m t hev iewp oi nt of modellin g,th e power-de pe ndent termcan be g iv e n asa func tion o f the c u r re n t tran smit  po wer, wher eas  t h e time- de pe n dent t ermca n be g iven a s  ana d ditive random pr ocess . The p o wer -depe nd ent RPD main ly comes f rom the pow er/con figu ratio n modesw itchin g b ywhich each transmitt er br anch sw it ches  th e gain /bia s state . Th epot ential so u r ce s  o ft hepowe r-dep en dent  RPD canb e summar ize d  as fol lo ws: 
, i.e.,_the physical_channel, HD in (2)._Based on_the_physical channel_estimated_based on SRS,_the best transmission_mode is chosen by_the receiver. The_receiver_then sends the chosen best channel to the transmitter. One of the criteria of_selecting_the transmission_mode_is_to maximize the data throughput._For example, the effective SNR_is calculated_for each precoder, i.e., each selection of the_rank_and precoder matrix,_the relevant throughput is calculated, and the precoder maximizing_the throughput is selected. Consequently, it_is easily understood_that_precoder_selection is subject to_inter-antenna imbalance variation between measurement period_(SRS) and actual data transmission period_(PUSCH).
Referring to FIG. 1, consider a generic_User Equipment (UE) 100 with two_transmit antennas 102, 104 for_simplicity (although_the following argument is equally_applicable to a_UE with_more than two_transmit antennas). Furthermore, throughout this document_a UE 100_can be any one of a_multitude_of types of_wireless_or_mobile communication_devices. Furthermore, a_UE_as used_herein,_but not specifically shown in FIG._1,_may include a user interface for physical_touch, sound and/or vision._Additionally,_a UE inherently comprises_one or more controller or_microcontroller devices 112 and related circuitry_adapted to_perform, among_other things, mode switching of the one or more transmitter (TX)_branches 106, 108 within a transmitter_architecture 110.
Denoting the absolute_phases of_transmitter_branch #1 106_and_#2 108_by φ1(t) and φ2(t), respectively, the relative_phase (RP)_is defined as δφ(t)=φ1(t)−φ2(t). Then the_relative phase discontinuity (RPD)_is_defined as the difference of RP_between two time instants t1 and_t2, i.e., δφ(t1)−δφ(t2).
The RPD of_a_transmitter_branch typically comprises a power-dependent_term and a time-dependent term. The_power-dependent term depends_on the transmit power, whereas the time-dependent_term_varies with time. From the viewpoint_of_modelling, the power-dependent term can be_given_as_a function of the current_transmit power, whereas the time-dependent term_can be given as an additive random process.
The power-dependent_RPD mainly comes_from the power/configuration mode switching_by_which_each transmitter branch switches the gain/bias state. The potential sources_of the_power-dependent RPD can_be summarized as follows: