an mimo ( multiple input multiple output ) system denotes a system having a plurality of inputs and a plurality of outputs or having a plurality of input variables and a plurality of output variables . the term multi - variable system may be used as well . systems having exactly one input variable and one output variable are designated as siso ( single input single output ) system . a rfpa system includes a power amplifier in a radio - frequency range , e . g ., in a high - frequency range . one radio - frequency signal ( also designated as rf signal ) is amplified per channel , wherein the rf signal has a specific amplitude and phase . a two - channel rfpa system is provided below . from the standpoint of open - loop or closed - loop control , a two - channel rfpa system corresponds to a 4 × 4 mimo system , including two channels each for amplitude and phase of the settable rf signal . fig1 depicts a schematic block diagram of an rfpa system with closed - loop control for use in a two - channel mri system . the desired or reference values s i where i = 1 . . . 4 are applied to a load - dependent feedforward controller 102 . furthermore delayed output values d , ( i = 1 . . . 4 ) are subtracted from the desired values and the result is fed in the form of values : to a load - dependent controller 101 having four siso pi controllers , one for each channel i . a pi controller , also designated as a proportional - integral controller , includes the portions of a proportional element and an integral - action element . output values f i of the controller 102 are combined with output values w i of the controller 101 to form values k i , e . g . : and fed to a decoupling component 103 . by way of example , with the aid of the decoupling component 103 it is provided that a static portion in the signal k i is reduced or suppressed and / or that the values k i are scaled to a predefined extent . the decoupling component 103 decouples with respect to an rfpa system 104 . in other words , as a result of the use of the decoupling component upstream of the rfpa system , this corresponds functionally to four siso systems decoupled from one another . at the output of the decoupling system , values p i are correspondingly provided to the rfpa system 104 . the decoupling component 103 decouples the inputs and outputs of the rfpa system . for example , each signal of the four input signals corresponds to one of the four output signals of the rfpa system , and the couplings originally present between the input and output signals are thus reduced or ( largely ) eliminated . the 4 × 4 rfpa system is thus subdivided into four 1 × 1 subsystems . the scaling is effected , for example , in such a way that each subsystem of the four 1 × 1 subsystems has the same dc voltage amplification . the decoupling component 103 is determined depending on the load situation . this is effected by introducing an act successively upon the temporary switching - off of the closed - loop control to the desired voltage signals s 1 , s 2 , s 3 and s 4 and determining the output voltages u 1 , u 2 , u 3 and u 4 . the dc voltage amplification ( a 4 × 4 matrix ) of the rfpa system may be determined from the act responses . in the simplest case , the decoupling component 103 is the inverse of the dc voltage amplification matrix . alternatively , the inverse of the dc voltage amplification matrix may also be multiplied by four input scaling factors . with the aid of the load situation or the experimentally determined dc voltage amplification matrix of the rfpa system 104 , corresponding information 106 is communicated to a look - up table 105 , with the aid of which the information 106 is converted into an associated setting for the controllers 101 and 102 . this may take place in the context of an open - loop measurement and / or while an examination is being carried out . the rfpa system 104 provides output values u i ( e . g . in the form of output voltages ), which are also converted into the delayed output values d i by a delay element 107 . consequently , the rfpa system 104 is driven efficiently , and by the ( feedback ) information 106 , it is provided that the rfpa system is operated in an optimized manner for the respective load situation . the controller 101 is used in this case to reduce or to eliminate control errors in the settled state . the controller 102 is used to accelerate the settling time and thus to improve a lag during the mri recording . the decoupling component 103 includes , for example , a static decoupling and scaling matrix , which serves to reduce ( or at least proportionally ), avoid crosstalk between the four channels . in order to enable efficient mri measurements for different load situations and thus to improve the performance and efficiency of the mri system , it is possible to provide different feedforward control amplification matrices in the controller 102 and , if appropriate , correspondingly matching settings for the controller 101 ( parameterizations of the pi controllers ), which are selected depending on the information 106 , which is in turn determined depending on the respective load situations . in this regard , the information 106 may serve to address an entry in the look - up table 105 that include a corresponding setting of the controllers 101 and 102 . this setting is thereupon adopted for the controllers 101 , 102 . depending on the load of the rfpa system 104 , it is thus possible to choose a suitable amplification by the look - up table 105 . it is thus possible to achieve the required fast settling time depending on the respective specific load situation and at the same time to provide a good quality of the recordings . in particular , the rfpa system may be set such that , e . g ., the following predefined stipulations are fulfilled : ( 1 ) for a step response , a settling time ( for reaching a tolerance band amounting to e . g . 5 % around a target value ) is less than 10 microseconds ( without steady - state error portion ). ( 2 ) a predefined maximum voltage at the output of the amplifier is not exceeded . ( 3 ) the predefined stipulations ( 1 ) and ( 2 ) are complied with for different load situations . in this case , the load situations correspond , e . g ., to different patients , to their organs to be examined , and the different positions during the mri examination . the load situation may depend on different factors . by way of example , the size of the patient may be estimated in relation to a region to be examined . such an estimation may take account of at least one of the following parameters : ( 1 ) the weight of the patient , ( 2 ) the region to be examined , e . g ., depending on a position of an examination table and / or on a position of the patient on the examination table ( e . g ., lying on the back / stomach , lying on the right / left side ), and ( 3 ) an open - loop measurement . during the open - loop measurement , an actual load - dependent system behavior may be measured and the parameters of the control loop may be adjusted in such a way that an optimized dynamic system response is achieved . the actual examination ( mri measurement ) of the patient is effected after said open - loop measurement . fig2 shows a schematic diagram of a two - channel mri system . a desired value sw 1 is applied to a propagation time component 201 and to an adder element 203 , and the result of the propagation time component 201 is passed to an adder element 207 . the result of the adder element 207 is passed via a switch 218 to a loop filter 205 to the adder element 203 . the output of the adder element 203 , that is to say the addition of the desired value sw 1 to the output value of the loop filter 205 , is fed to a decoupling component 209 . a desired value sw 2 is applied to a propagation time component 202 and to an adder element 204 , and the result of the propagation time component 202 is passed to an adder element 208 . the result of the adder element 208 is passed via a switch 219 to a loop filter 205 to the adder element 204 . the output of the adder element 204 , that is to say the addition of the desired value sw 2 to the output value of the loop filter 206 , is likewise fed to the decoupling component 209 . consequently , by the decoupling component 209 , a modified ( desired ) value sw 1 ′ arises from the desired value sw 1 and a modified ( desired ) value sw 2 ′ correspondingly arises from the desired value sw 2 . the value sw 1 ′ is fed via a digital - to - analog converter 210 and an amplifier 212 to a processing unit 214 . the value sw 2 ′ is correspondingly fed via a digital - to - analog converter 211 and an amplifier 213 to the processing unit 214 . the processing unit 214 communicates incoming waves a 1 and a 2 via a cable of length l bc to a body coil 217 . the body coil 217 supplies incoming waves b 1 and b 2 or voltage values u bc1 and u bc2 to the processing unit 214 . the voltage u bc1 is fed by the processing unit 214 via an analog - to - digital converter 215 as a digital measured actual value to the adder element 207 and is subtracted from the output value of the propagation time component 201 . the voltage u bc2 is correspondingly fed by the processing unit 214 via an analog - to - digital converter 216 as a digital measured actual value to the adder element 208 and is subtracted from the output value of the propagation time component 202 . the desired values in fig2 are complex signals including a real part and an imaginary part . the modified desired values sw 1 ′ and sw 2 ′ arise from the values shown in fig1 as follows : the output voltages u bc1 and u bc2 ( voltages across the body coil 217 ) determined arise from the values illustrated in fig1 as follows : the relationship between input and output variables may be described by a complex 2 × 2 matrix k ( coupling matrix ): the matrix k depends on the load situation of the body coil 217 and on output reflection coefficients r q1 and r q2 of the power amplifier . the matrix k may be determined in the context of the open - loop measurement ( adaptation ) before the actual examination ( recording ). the open - loop measurement may be effected by determining a scattering matrix of the body coil used and determining the matrix k with the aid of estimated output reflection coefficients of the power amplifier . this approach is suitable in particular because the scattering matrix is also required and therefore predetermined for the specific absorption rate ( sar ) monitoring . therefore , only a small additional outlay with regard to calculation and communication is required . the open - loop measurement may also be effected by directly determining the matrix k . in this case , the actual properties of the power amplifier may be taken into account . an inverse of the matrix k for the static decoupling and scaling may be used ( also cf . the decoupling component 103 in fig1 ) to enable optimized dynamic measurements of the mri system . the explanations below also apply in particular to closed - loop control based on voltages u bc across the body coil . this corresponds to an exemplary controlled variable . alternatively or additionally , e . g . the incoming waves may also be used as a controlled variable . provided that no further coupling takes place in the processing unit 214 itself and the latter itself is ( virtually ) free of inherent reflection , the incoming waves arise as : ( a 1 a 2 ) = ⁢ s _ · ( sw 1 ′ sw 2 ′ ) = 1 term · ( τ 1 ⁡ ( 1 - s 22 ⁢ r q ⁢ ⁢ 2 ) τ 2 ⁢ s 12 ⁢ r q ⁢ ⁢ 1 τ 1 ⁢ s 21 ⁢ r q ⁢ ⁢ 2 τ 2 ⁡ ( 1 - s 11 ⁢ r q ⁢ ⁢ 1 ) ) · ( sw 1 ′ sw 2 ′ ) term = 1 − r q1 s 11 − r q2 s 22 + r q1 r q2 · det ( s bc ), wherein τ i ( i = 1 , 2 ) denotes the respective path transmission between the desired variables sw i ′ and a calibration plane of the scattering matrix of the body coil 217 relative to the calibration plane and the ( nonlinear ) reflection factors r qi of the power amplifiers ( likewise transformed into the calibration plane ) consequently , the outgoing waves arise from the incoming waves via the scattering matrix of the body coil 217 : ( b 1 b 2 ) = s _ bc · ( a 1 a 2 ) ( u bc ⁢ ⁢ 1 u bc ⁢ ⁢ 2 ) = ⅇ - jφ bc · ( a 1 a 2 ) + ⅇ + jφ bc · ( b 1 b 2 ) a decoupling matrix d may provide that during the open - loop measurement ( e . g ., during open - loop operation ) the following relationship holds true : ( u bc ⁢ ⁢ 1 u bc ⁢ ⁢ 2 ) = k _ · d _ · ( sw 1 sw 1 ) ⁢ = ! ⁢ ( sw 1 sw 1 ) . if the control loops of the systems decoupled are closed , then both operate independently of one another . this holds true , in particular , until the amplitudes become high enough that the nonlinear output reflection factors differ from the small - signal value on which the decoupling is based . under specific boundary conditions , it may happen that the matrix k becomes non - invertible , or the inversion becomes at least numerically unstable . this is manifested in a determinant of the matrix k whose value is zero or at least very close to the value zero . from a physical viewpoint , the voltage u bc2 in this case differs from the voltage u bc1 only in a single complex factor independently of the combination of the two exciting signals . such a case may be prevented in practice , since otherwise the system would become unstable upon the least change in the scattering matrix during operation or upon a change in the output reflection factor as a result of strong modulation . d _ = 1 ⅇ - 2 ⁢ jφ bc + s 11 + s 22 + ⅇ - 2 ⁢ jφ bc ⁢ det ⁡ ( s _ bc ) · ( z 11 z 12 z 21 z 22 ) where z 11 = ⅇ - jφ bc + ⅇ jφ bc ⁢ s 22 - r q ⁢ ⁢ 1 ⁡ [ ⅇ - jφ bc ⁢ s 11 + ⅇ jφ bc ⁢ det ⁡ ( s _ bc ) ] τ 1 ; z 12 = - s 12 ⁡ ( r q ⁢ ⁢ 1 ⁢ ⅇ - jφ bc + ⅇ jφ bc ) τ 1 ; z 21 = - s 21 ⁡ ( r q ⁢ ⁢ 2 ⁢ ⅇ - jφ bc + ⅇ jφ bc ) τ 2 and z 21 = ⅇ - jφ bc + ⅇ jφ bc ⁢ s 11 - r q ⁢ ⁢ 2 ⁡ [ ⅇ - jφ bc ⁢ s 22 + ⅇ jφ bc ⁢ det ⁡ ( s _ bc ) ] τ 2 it can be discerned that the common denominator term must not become zero and that this condition is independent of the output reflection factors and is dependent only on the scattering matrix of the body coil and the electrical length l bc with respect to the voltage plane of the body coil . accordingly , the following parameters may be known for determining the decoupling matrix d : ( 1 ) the scattering matrix of the body coil relative to the calibration plane ( this may be measured for each load situation ); ( 2 ) the small - signal output reflection factor of the power amplifiers transformed into the calibration plane ( this may be measured once , for example ); ( 3 ) the length l bc between the calibration plane and the reference plane of the voltages of the body coil ( this involves a structural predefined specification , for example , which may be correspondingly adopted ). the efficiency of the open - loop measurement may additionally be increased by the parameters being adapted or estimated taking account of ( 1 ) the frequency , ( 2 ) the waveform , and / or ( 3 ) the magnitude of at least one subsequent pulse ( or signal ). as already explained , the actual examination ( mri measurement ) of the patient may be effected after the open - loop measurement . in this case , the mri measurement may also be subject to temporal fluctuations that may not have been taken into account or compensated for during the preceding calibration ( open - loop measurement ). however , it is possible for changes in the system parameters also to be detected during the mri measurement , by virtue of said system parameters being compared with the input and output variables of the rfpa system in the open - loop measurement . on the basis of such additional information during the mri measurement itself , it is possible to adaptively track ( set ) the parameters . by way of example , a phase shift that occurs on an amplifier channel via the connected antenna may be compensated for by the feedback loop and the feedforward controller . by such ( e . g . continuous ) adaptation , the dynamic behavior of the control loop , even during the mri measurement , may be constantly improved . consequently , the approach presented here enables the flexible and dynamic setting and tracking ( e . g . of an amplification ) of the rfpa system , to be precise depending on the actual load situation . in this case , the load situation may be dependent , in particular , on the weight of a patient , the position of the examination table , the position of the patient on the examination table , the organ to be examined , the previous measurement data and other parameters obtained in the course of the mri measurement ( s ). a list of reference signs used within the above - described embodiments are provided in the table below . it is to be understood that the elements and features recited in the appended claims may be combined in different ways to produce new claims that likewise fall within the scope of the present invention . thus , whereas the dependent claims appended below depend from only a single independent or dependent claim , it is to be understood that the dependent claims may , alternatively , be made to depend in the alternative from any preceding or following claim , whether independent or dependent , and that such new combinations are to be understood as forming a part of the present specification . while the present invention has been described above by reference to various embodiments , it may be understood that many changes and modifications may be made to the described embodiments . it is therefore intended that the foregoing description be regarded as illustrative rather than limiting , and that it be understood that all equivalents and / or combinations of embodiments are intended to be included in this description .
a two - channel magnetic resonance tomography system is provided with a regulation circuit for an amplification system in order to be able to take into account different load situations of the mri system in a flexible and efficient manner . it is thus possible to improve the mri measurements greatly if the mri system is set to the respective load situation beforehand by an idle state measurement . the adaptation may optionally also be carried out during the mri measurement . therefore , a multiplicity of completely different load situations may be taken into account in an optimized manner by the regulation circuit .