The present invention relates to an amplifier circuit, in particular, to an amplifier circuit with a fully-differential operational amplifier.
An amplifier circuit is, as is well known, a circuit having a capability of amplifying an input signal, which is connected to a different circuit makes up equipment. The amplifier circuit of this kind is usually made requests to have high input impedance, in order to reduce load in connection with power consumption of a circuit at the previous stage to which a signal is input.
Also, Vip and Vin depicted in
In the general amplifier circuit shown in
An example of the prior art devised for the purpose of increasing impedance of the amplifier circuit shown in
With the amplifier circuit of such prior art, it enables making a ratio (Vo/Vi) between voltage Vi to be input to input terminals 406,407 and voltage Vo to be output from output terminals 408,409 higher. Incidentally, such prior art can be found in Patent Document 1.
As stated above, for the load of the circuit arranged at the previous stage of the amplifier circuit to reduce to a sufficient degree, it is necessary to reduce electrical currents Iip, Iin, having a phase shifted by 180 degrees from each other, up to about “0”. The prior art shown in
To reduce noises produced in the amplifier circuit, it is imperative to make impedance values Z1 and Z2 of the input impedance element 101, and the negative impedance element 102 smaller. But, in the prior art shown in
The present invention is made in view of such shortcoming immanent in the prior art, and its objective is to provide an amplifier circuit which is able to reduce the load of the circuit at the previous stage by increasing input impedance as well as produces lesser noises.
To solve the above-identified problems, an amplifier circuit of one embodiment of the present invention, comprises: a fully-differential operational amplifier (e.g., an operational amplifier 104 shown in
The present invention, it is preferable, in the foregoing invention, that the amplifier circuit should further comprise a negative feedback impedance element (e.g., negative feedback impedance elements 102a or 102b) to be connected between the first input terminal and the second output terminal, and being relation of: Z3≧Z2-Z1 among an impedance value Z1 of the input impedance element; an impedance value Z2 of the negative feedback impedance element; and an impedance value Z3 of the positive feedback impedance element.
The present invention is preferable, in the foregoing invention, that the amplifier circuit should further comprise a negative feedback impedance element (e.g., a negative feedback impedance element 102a or 102b shown in
An amplifier circuit of one embodiment of the present invention comprises: a fully-differential operational amplifier (e.g., an operational amplifier 104 shown in
The amplifier circuit of one embodiment is preferable, in the foregoing invention, that an impedance value of the first input impedance element and that of the second input impedance element should be equal, an impedance value of the first negative feedback impedance element and that of the second negative feedback impedance element should be equal, and an impedance value of the first positive feedback impedance element and that of the second positive feedback impedance element should be equal.
The amplifier circuit of one embodiment is preferable, in the foregoing invention, that relation of: Z3≧Z2−Z1 should be between an impedance value Z1 of the first input impedance element and the second input impedance element, an impedance value Z2 of the first negative feedback impedance element and the second negative feedback impedance element, and an impedance value Z3 of the first positive feedback impedance element and the second positive feedback impedance element.
An amplifier circuit of one embodiment of the present invention comprises: a fully-differential operational amplifier (e.g., an operational amplifier 104 shown in
An amplifier circuit of one embodiment of the present invention comprises: a fully-differential operational amplifier (e.g., an operational amplifier 104 shown in
The amplifier circuit of one embodiment is preferable, in the foregoing invention, that an impedance value of the first input impedance element and that of the second input impedance element should be equal, and an impedance value of the first negative feedback impedance element and that of the second negative feedback impedance element should be equal.
The amplifier circuit of one embodiment is preferable, in the foregoing invention, that relation of: Z3≧(Z2+Z1)×(Z2−2×Z1)÷(Z2+2×Z1) should be among an impedance value Z1 of the first input impedance element and the second input impedance element, an impedance value Z2 of the first negative feedback impedance element and the second negative feedback impedance element, and an impedance value Z3 of the positive feedback impedance element.
According to the amplifier circuit of the embodiments as mentioned above, since the amplifier circuit includes the positive feedback impedance element provided via the input impedance element connected to the input terminal between the input terminal and the output terminal outputting an signal with a signal to be input from the input terminal of the operational amplifier, the invention may increase input impedance of the amplifier circuit, without incurring an increased impedance value of the input impedance element. On account of this, the invention permits providing an amplifier circuit with high input impedance while reducing noises to be produced in the amplifier circuit.
Hereinafter, a description will next be made to a first embodiment and a second embodiment of the present invention with reference to the accompanying drawings.
Circuit Configuration
The operational amplifier 104 is a fully-differential operational amplifier which has inverting input terminals 104a, a non-inverting input terminal 104c to which a signal different from a signal to be input to the inverting input terminals 104a, a non-inverting output terminal 104b having polarity identical with that of the inverting input terminal 104a, and an inverting output terminal 104d with reverse polarity to that of the inverting input terminal 104a. One end of the impedance elements 101a is connected to the inverting input terminal 104a, and the other end of the impedance element is connected to the signal input terminal 106. Further, voltage Vip is applied to a signal input terminal 106 from a circuit at the previous stage. At this time, an electrical current Iip is flown thereinto from the signal input terminal 106.
It is noted that “the signal different from the signal to be input to the inverting input terminal 104a” indicates a signal different in a phase and voltage value to be output simultaneously. Although a signal to be input to the inverting input terminal 104a and a signal to be input to the non-inverting input terminal 104c have an approximately anti-phase relationship between their phases with each other, there are some cases where a phase difference does not exactly amount to 180 degrees depending on a relation of the impedance, etc.
As stated above, a relationship between the two terminals that are respectively allocated to two signals having an approximately anti-phase relation with each other may also be represented as “polarity is reverse”. In addition, a relationship between the two terminals that are respectively allocated to two signals having an approximately in-phase relation with each other may also be represented as “polarity is same”.
Between the inverting input terminal 104a and the non-inverting output terminal 104b, the negative feedback impedance element 102a is connected. The non-inverting output terminal 104b is connected to a signal output terminal 108. In this instance, voltage of a signal to be output from the signal output terminal 108 is represented as Von.
The non-inverting input terminal 104a is connected via the input impedance element 101a to the signal input terminal 106. Moreover, voltage Vip is input through a circuit at the previous stage from the signal input terminal 106. At this time, an electrical current Iip is flown from the signal input terminal 106.
Between the non-inverting input terminal 104c and the inverting output terminal 104d, the negative feedback impedance element 102b is connected. The inverting output terminal 104d is connected to the signal output terminal 109. At this time, voltage of a signal to be output from the signal output terminal 109 is represented as Vop.
The non-inverting input terminal 104c is connected via the input impedance element 101b to the signal input terminal 107. Further, voltage Vin is input through a circuit at the previous stage through the signal input terminal 107. On this occasion, an electrical current Iin is flown from the signal input terminal 107.
Furthermore, in the first embodiment, the positive feedback impedance element 103b is provided, one end of which is connected to one end of the input impedance element 101a and the other end of which is connected to the inverting output terminal 104d. Also, the positive feedback impedance element 103a is provided, one end of which is connected to the other end of the input impedance element 101b and the other end of which is connected to the non-inverting output terminal 104b.
Out of the impedance elements mentioned above, in the first embodiment, letting an input impedance value of the input impedance elements 101a and 101b to be Z1, an impedance value of the negative feedback impedance elements 102a and 102b to be Z2, and an impedance value of the positive feedback impedance elements 103a and 103b to be Z3.
The signal input terminals 106,107 are terminals for inputting an input signal from the circuit at the previous stage to the amplifier circuit. A differential signal having a phase different by 180 degrees from each other is input, as an input signal, to the signal input terminals 106,107. Moreover, a differential signal is output, as an output signal, from the signal output terminals 108,109.
Subscripts “n” and “p” shown in
Further, as shown in
Operation
An explanation will next be made to an operation of the operational amplifier of the first embodiment described above by using equations.
(1) Operation of Conventional Amplifier Circuit
Herein, to compare with an operation of the amplifier circuit of the first embodiment, an explanation will be made first to an operation of the conventional amplifier circuit shown in
In the conventional amplifier circuit shown in
(Vip−Vsp)/Z1+(Von−Vsp)/Z2=0 equation (1)
Equation (2) is obtained by changing the equation (1).
(1/Z1+1/Z2)Vsp=Vip/Z1+Von/Z2 equation (2)
Likewise, as for a node to which voltage Vsn in
(Vin−Vsn)/Z1+(Vop−Vsn)/Z2=0 equation (3)
(1/Z1+1/Z2)Vsn=Vin/Z1+Vop/Z2 equation (4)
To find out differential output voltage Vop−Von, subtracting both sides of the equation (4) from the equation (2) obtains the following equation.
If a gain of the operational amplifier 104 is sufficiently high, the following equation (5) is obtained as one can be regarded voltage Vsp, Vsn as having relation if Vsp=Vsn.
Vop−Von=Z2(Vip−Vin)/Z1 equation (5)
From the equation (5), it can be seen that the amplifier circuit shown in
Herein, since common voltage (Von+Vop)/2 of an output signal is controlled so as to be the analog ground (assumed to be 0) by the common mode feedback circuit 105, the following equation is obtained from relation between the equation (5) and (Vop+Vop)/2=0.
Vop−Von=2Vop=Z2(ViP−Vin)/Z1
Equation (6) is obtained by changing the above equation. Where, in equation (6), (let Vin,Vip to be) Vin=−Vip.
Vop=Z2(Vip−Vin)/2Z1=Vip−Z2/Z1 equation (6)
On the other hand, in order to find out the input voltage Vsp and Vsn of the operational amplifier 104, the both sides of the equations (2), (4) are respectively added to derive the following equation.
Equation (7) is obtained by changing the above equation.
If a gain of the operational amplifier 104 is sufficiently high, one can be regarded voltage Vsp and Vsn as having relation of Vsp=Vsn. Further, the equation (7) becomes equation (8) as relation of Vin=−Vip and Von=−Vop are between these physical quantity.
Vsp=Vsn=0 equation (8)
Then, input impedance values Zip and Zin of the amplifier circuit shown in
Following the Kirchhoff's law, a condition where the total of an electrical current Iip to be flown to a node to which the voltage Vip is applied is expressed as the following equation (9).
Iip+(Vsp−Vip)/Z1=0 equation (9)
Where, Iip is an input electrical current to be flown from the outside (circuit at the previous stage) to the amplifier circuit.
Equation (10) is obtained from equations (8) and (9).
Iip=(Vip−Vsp)/Z1=Vip/Z1 equation (10)
Thus, the input impedance value Zip of the amplifier circuit show in
Zip=Vip/Iip=Z1 equation (11)
Likewise, the input impedance value Zin is expressed by the equation (12).
Zin=Vin/Iin=Z1 equation (12)
From the above, it can be seen that the conventional amplifier circuit has finite input impedance of Zip and Zin.
(2) Operation of Amplifier Circuit of First Embodiment
Next, an explanation will be made to an operation of the amplifier circuit of the first embodiment shown in
In the amplifier circuit shown in
(Vip−Vsp)/Z1+(Von−Vsp)/Z2=0 equation (13)
Likewise, as for a node to which Vsn is applied, the following equation (14) is obtained.
(Vin−Vsn)/Z1+(Vop−Vsn)/Z2=0 equation (14)
Because the equations (13) and (14) are same to the equation of the conventional amplifier circuit, the aforesaid equations (1) to (8) are established even in the amplifier circuit of the first embodiment.
After that, electrical currents Iip and Iin to be input from the outside to the amplifier circuit of the first embodiment are obtained.
In
Iip+(Vsp−Vip)/Z1+(Vop−Vip)/Z3=0 equation (15)
Equation (16) is obtained by changing equation (15).
Iip+Vsp/Z1+Vop/Z3−(1/Z1+1/Z3)Vip=0 equation (16)
Equation (6) is substituted for equation (16). If a gain of the operational amplifier 104 is sufficiently high, and equation (16) is as follows as one can be regarded voltage Vsp as having relation of Vsp=0.
Iip+Z2·Vip/(Z1−Z3)−(1/Z1+1/Z3)Vip=0
Equation (17) is obtained by changing the above equation.
Accordingly, an input impedance value Zip of the amplifier circuit of the first embodiment is expressed as the following equation (18).
Zip=Vip/Iip=Z1·Z3/(Z1−Z2+Z3) equation (18)
Likewise, an impedance value Zin is obtained by the following equation (19).
Zin=Vin/Iin=Z1·Z3/(Z1−Z2+Z3) equation (19)
With the above equations (18) and (19), if the impedance values Z1,Z2,and Z3 are set so as to have relation of Z3≧Z2-Z1, it will be possible to realize an amplifier circuit with high input impedance values Zip and Zin without oscillating the amplifier circuit.
Here, if we assume Z1,Z2,and Z3 to have relation of Z3=Z2−Z1, an input impedance will be turned into infinity. Nonetheless, in order to avoid oscillation of the amplifier circuit, it is realistic that an impedance value Z3 is set slightly larger than impedance value Z2-Z1. For this reason, Z3 of the first embodiment has relation of Z3≧Z2-Z1 in which its minimum value is Z2−Z1.
Further, in the first embodiment, there is an occurrence in some cases that a design value of the impedance elements 103a and 103b is set, to realize such a condition, so as to amount to 80% or so of the impedance value Z3 to be implemented by the impedance elements 103a and 103b.
Alternatively, in the above-mentioned first embodiment, the impedance elements 101a, 101b, 102a, 102b, 103a and 103b may utilize any elements, as far as they function as an impedance element in the amplifier circuit, such as a capacitance element or a resistance element. It should be noted that since variations in characteristics among these impedance elements impair circuit characteristics of the amplifier circuit of the first embodiment, it is desirable to employ an impedance element of which electrical characteristic and temperature characteristic are matched, as can as possible, as each impedance element. By way of example of elements having matched characteristics, it is desirable to employ not only elements which are fabricated according to the same design and process but also elements which are mounted on the same wafer.
Circuit Configuration
The amplifier circuit of the second embodiment includes a signal input terminal 106 to input from the outside an input signal to the other end of the input impedance element 101a, and a positive feedback impedance element 103b of which one end is connected to the other end of the input impedance element 101a and the other end of which is connected to the inverting output terminal 104d.
Operation
An explanation will next be made to an operation of the amplifier circuit of the second embodiment shown in
In the amplifier circuit shown in
(Vip−Vsp)/Z1+(Von−Vsp)/Z2=0 equation (20)
Equation (21) is obtained by changing equation (20).
(1/Z1+1/Z2)Vsp=Vip/Z1+Von/Z2 equation (21)
Likewise, as for a node to which the voltage Vsn is applied, the following equations (22) and (23) are obtained.
(0−Vsn)/Z1+(Von−vsn)/Z2=0 equation (22)
(1/Z1+1/Z2)Vsn=Vop/Z2 equation (23)
To find out differential output voltage Vop-Von, subtracting the both sides of equation (23) from equation (21) respectively, the following equation is obtained.
(1/Z1+1/Z2)(Vsp−Vsn)=Vip/Z1+(Von−Vop)/Z2
If a gain of the operational amplifier 104 is sufficiently high, the following equation (24) is obtained as one can be regarded voltage Vsp, Vsn as having relation of Vsp=Vsn.
Vop−Von=(Z2/Z1)Vip equation (24)
From the equation (24), it can be seen that the amplifier circuit shown in
Herein, as common voltage (Von+Vop)/2 of an output signal is controlled so as to be the analog ground (assumed to be 0) by the common mode feedback circuit 105, the following equation is obtained from relation between the equation (24) and (Von+Vop)/2=0.
Vop−Von=2Vop=(Z2/Z1)Vip
Equation (25) is obtained by changing the above equation.
Vop={Z2/(2Z1)}Vip equation (25)
In the meanwhile, to find out input voltages Vsp and Vsn of the operational amplifier 104, the both sides of equations (21) and (23) are respectively added to derive the following equation.
(1+/Z1+1/Z2)(Vsp+Vsn)=Vip/Z1+(Von+Vop)/Z2
Equation (26) is obtained by changing the above equation.
If a gain of the operational amplifier 104 is sufficiently high, as one can be regarded voltage Vsp and Vsn as having relation of Vsp=Vsn, equation (26) is deformed to equation (27). Further, as Von−Vop, equations (26) is simplified to equation (27).
Vsp=Vsn=Z2·Vip/2/(Z1+Z2) equation (27)
An electrical current Iip to be input from the outside to the amplifier circuit of the second embodiment is then found.
In
Iip+(Vsp−Vip)/Z1+(Vop−Vip)/Z3=0 equation (28)
Equation (29) is obtained by changing the equation (28).
Iip+Vsp/Z1+Vop/Z3−(1/Z1+1/Z3)Vip=0 equation (29)
Substituting the equations (25) and (27) for the equation (29), the equation (29) is as follows.
Iip+Z2·Vip/{2(Z1+Z2)Z1}+Z2·Vip/(2Z1·Z3)−(1/Z1+1/Z3)Vip=0
Equation (30) is obtained by changing the above equation.
Accordingly, the input impedance value Zip of the amplifier circuit of the second embodiment is expressed as the following equation (31).
Selecting the impedance value Z3 so as to close to 0 within the limits where a denominator of the above equation (31) becomes positive enables actualizing high input impedance.
That is, setting the impedance values Z1,Z2,and Z3 to have relation of Z3≧(Z2+Z1)·(Z2−2Z1)/(Z2+2Z1) enables implementing an amplifier circuit with high input impedance values Zip Zin without oscillating the amplifier circuit.
Herein, if it is impedance values Z1,Z2,and Z3 to have relation of Z3=(Z2+Z1)·(Z2−2Z1)/(Z2+2Z1), this will allow input impedance to be infinity. However, in order to avoid oscillation of the amplifier circuit, it is realistic that an impedance value Z3 is set slightly larger than the impedance values (Z2+Z1)·(Z2−2Z1)/(Z2+2Z1). On this account, Z3 of the second embodiment has relation of Z3≧(Z2+Z1)·(Z2−2Z1)/(Z2+2Z1) in which its minimum value is (Z2+Z1)·(Z2−2Z1)/(Z2+2Z1).
In the second embodiment as described above, one end of the positive feedback impedance element 101a is connected to the other end of the input impedance element 103b and the other end of which is connected to the inverting output terminal 104d. However, it is to be aware of that the second embodiment is not necessarily limited to such circuit configuration. For example, instead thereof, it doesn't matter that one end of the positive feedback impedance element 103a may be connected to the other end of the input impedance element 101b and the other end of which may be connected to the positive feedback impedance element 103a, as shown in
The amplifier circuit of the embodiment as described above may be applied to any amplifier circuit, as long as a differential output amplifier which is urged to have high input impedance while mitigating noises to be produced inside of the amplifier circuit.
Number | Date | Country | Kind |
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2010-203313 | Sep 2010 | JP | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
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PCT/JP2011/004796 | 8/29/2011 | WO | 00 | 5/22/2012 |