The contents of the following patent application(s) are incorporated herein by reference:
The present invention relates to a current sensor.
Patent document 1 discloses a current sensor having gain that cancels out change in detection gain in at least part of a gain variation band. Patent document 2 discloses alternately switching between small and large input ranges by a gain switching circuit while reading in digital values at oversampling frequencies higher than the conventional sampling frequency for A/D conversion. Patent document 3 discloses an amplifier capable of automatically switching gain in response to an input voltage. Patent document 4 discloses that an amplification factor of an operational amplifier can be varied based on an output voltage of a current detector.
Hereinafter, embodiments of the present invention will be described. However, the following embodiments are not for limiting the invention according to the claims. In addition, not all of the combinations of features described in the embodiments are essential to the solving means of the invention.
In a current sensor that uses a magnetic sensor to detect a magnetic field generated around a conductor when a current flows, it is possible to expand a measurable current range by using a correction unit configured by a non-volatile memory or a register to correct offset or adjust gain of an amplification unit that amplifies a signal output by the magnetic sensor.
The receiving unit 130 is coupled to an amplification unit 150a and is a wiring or terminal for coupling the signal processed by the chopper circuit 170 to the amplification unit 150a. The amplification unit 150a amplifies the signal with a predetermined gain and outputs it to the filter unit 140. The filter unit 140 is coupled to an amplification unit 150b, filters the signal received by the receiving unit 130 to decrease its amplitude within a predetermined frequency range, and outputs the filtered signal.
The amplification unit 150b is coupled to an output unit 160, amplifies the amplitude of the signal with a predetermined gain, and outputs the amplified signal. The output unit 160 outputs the output signal representing the measurement current in response to the filtered signal received from the amplification unit 150b.
A correction unit 180 is coupled to the amplification units 150a, 150b and the filter unit 140, corrects the signal, and adjusts the current value signal output from the output unit 160 to a desired unique value.
In such a current sensor 100, initial configuration is required in the correction unit 180 each time gain setting is changed, and the measurable current range cannot be expanded unless the gain setting is changed. In addition, even when gain of the amplification unit is switched depending on magnitude of amplitude of a signal output from the magnetic sensor, amplitude of the signal output from the amplification unit may vary with switching of gain.
Therefore, there is a demand for a current sensor that can expand the measurable current range while suppressing variations in amplitude of the signal output from the amplification unit that occur with switching of gain.
The current sensor 200 processes a signal output from the magnetic sensor 220 in response to the measurement current flowing through the conductor 210 and outputs an output signal representing a current amount, rise, fall, or the like of the measurement current.
The conductor 210 may be a conductor such as a metal provided on a substrate built into the semiconductor package. The conductor 210 may be a part of a lead frame configuring a pair of terminals through which the measurement current flows. In
The magnetic sensor 220 is disposed near the conductor 210. The magnetic sensor 220 is an example of a magnetoelectric conversion element. The magnetoelectric conversion element includes at least one of a Hall element, a magneto-resistance element (MR), a giant magneto-resistance element (GMR), a tunneling magneto-resistance element (TMR), a magnetic impedance element (MI element), an inductance sensor, or the like. The magnetic sensor 220 is an example of a detection unit that outputs a detection signal corresponding to a magnetic field generated around the conductor 210 by a flow of a measurement current therein.
The magnetic sensor 220 may be built into the same package as the conductor 210. The magnetic sensor 220 detects the magnetic field generated by the measurement current flowing through the conductor 210, and outputs, to the amplification unit 250, the detection signal having a current value or a voltage value corresponding to the magnetic field.
The amplification unit 250 is coupled to the output unit 280. The amplification unit 250 may include an inverting amplification circuit or a non-inverting amplification circuit using an operational amplifier. The amplification unit 250 may amplify the amplitude of the signal by a predetermined gain and output it. The amplification unit 250 feeds back an output signal VOUT, judges the output result based on a predetermined threshold, and controls gain so that it is smaller than a predetermined gain. In addition, the amplification unit 250 may control the gain based on a threshold selected from a plurality of thresholds.
The output unit 280 outputs a sensor output signal VSOUT that represents magnitude of the measurement current depending on the signal received from the amplification unit 250. The output unit 280 may be an operational amplifier or a comparator. The amplification unit 250 may perform control of the gain of the amplification unit 250 by feeding back the sensor output signal VSOUT.
The current sensor 200 according to the first embodiment includes one magnetoelectric conversion element such as a Hall element or the like as the magnetic sensor 220. However, a number of the magnetic sensors 220 included in the current sensor 200 is not limited to one. The current sensor 200 may include a plurality of the magnetic sensors 220. For example, a pair of the magnetic sensors 220 may be disposed facing each other across the conductor 210 in a plan view. The current sensor 200 may amplify, in the amplification unit 250, a signal after canceling an effect of an externally generated magnetic field based on the plurality of magnetoelectric conversion elements and outputs of the plurality of magnetoelectric conversion elements. The current sensor 200 may include the chopper circuit 170, the receiving unit 130, and the filter unit 140 illustrated in
The operational amplifier 262 includes an inverting input terminal 262a, a non-inverting input terminal 262b, and an output terminal 262c. The inverting input terminal 262a is an example of a first input terminal. The non-inverting input terminal 262b is an example of a second input terminal. The operational amplifier 262 amplifies a detection signal VIN from the magnetic sensor 220 input via the inverting input terminal 262a and outputs the output signal VOUT via the output terminal 262c.
The control circuit 300 sets an amplification factor of the amplification circuit 260 to a first amplification factor when an amplitude of the output signal VOUT falls within a predetermined amplitude range W, and sets the amplification factor of the amplification circuit 260 to a second amplification factor lower than the first amplification factor when the amplitude of the output signal VOUT does not fall within the predetermined amplitude range W. In this way, the current range that is measurable by the current sensor 200 can be expanded. However, the amplitude of the output signal VOUT varies at a timing when the amplification factor of the amplification circuit 260 switches between the first amplification factor and the second amplification factor. When the amplitude of the output signal VOUT varies, variation in measurement accuracy of the current sensor 200 occurs.
Therefore, the control circuit 300 adds, to the detection signal VIN while the amplification factor of the amplification circuit 260 is set to the second amplification factor, an offset signal VS that suppresses change in the amplitude of the output signal VOUT that occurs in response to the switching of the amplification factor of the amplification circuit 260 between the first amplification factor and the second amplification factor, and inputs the result to the inverting input terminal 262a.
The feedback resistance circuit 264 is coupled between the output terminal 262c and the inverting input terminal 262a, set to a first resistance value in the case of the first amplification factor, and set to a second resistance value lower than the first resistance value in the case of the second amplification factor. The control circuit 300 sets the resistance value of the feedback resistance circuit 264 to the first resistance value when the amplitude of the output signal VOUT falls within the predetermined amplitude range W, and sets the resistance value of the feedback resistance circuit 264 to the second resistance value when the amplitude of the output signal VOUT does not fall within the predetermined amplitude range W.
The feedback resistance circuit 264 includes a resistance element 266 and a resistance element 268. The resistance element 266 is an example of a first resistance element that is coupled between the output terminal 262c and the inverting input terminal 262a. The resistance element 268 is an example of a second resistance element that is coupled in parallel with the resistance element 266 between the output terminal 262c and the inverting input terminal 262a. A resistance value R2 of a resistance element 272 and a resistance element 273 may be double a resistance value R1 of a resistance element 271 (R2=2× R1). A resistance value R3 of the resistance element 266 and the resistance element 268 may be four times the resistance value R1 of the resistance element 271 (R3=4× R1).
When the amplitude of the output signal VOUT falls within the predetermined amplitude range W, the control circuit 300 controls the feedback resistance circuit 264 so that the resistance element 266 is electrically coupled between the output terminal 262c and the inverting input terminal 262a, and the resistance element 268 is not electrically coupled between the output terminal 262c and the inverting input terminal 262a. When the amplitude of the output signal VOUT does not fall within the predetermined amplitude range W, the control circuit 300 controls the feedback resistance circuit 264 so that the resistance element 266 and the resistance element 268 are electrically coupled between the output terminal 262c and the inverting input terminal 262a.
Further, when the amplitude of the output signal VOUT exceeds an upper limit value VH of the predetermined amplitude range W, the control circuit 300 adds a first offset signal VHX of a first voltage to the detection signal VIN as the offset signal VS. When the amplitude of the output signal VOUT falls below a lower limit value VL of the predetermined amplitude range W, the control circuit 300 adds a second offset signal VLX of a second voltage lower than the first voltage to the detection signal VIN as the offset signal VS.
Here, when a configuration is made in which the offset signal VS is added to the detection signal VIN, impedance seen from the inverting input terminal 262a of the operational amplifier 262 changes. As an effect, a feedback factor β of the operational amplifier 262 changes. When the feedback factor β of the operational amplifier 262 changes, frequency response of the operational amplifier 262 changes.
Therefore, the amplification circuit 260 includes a resistance element 272 as an impedance element that functions for suppressing the change in the feedback factor of the amplification circuit 260 (operational amplifier 262) that occurs by adding the offset signal VS to the detection signal VIN, and of which one end is coupled to the inverting input terminal 262a. A reference voltage VREF that is applied to the inverting input terminal 262a may be applied to another end of the resistance element 272.
The amplification circuit 260 further includes the resistance element 271 having one end to which the detection signal VIN is input and another end coupled to the inverting input terminal 262a, and the resistance element 273 having one end to which the offset signal VS is input and another end coupled to the non-inverting input terminal 262b. The resistance element 271 is an example of a third resistance element, the resistance element 272 is an example of a fourth resistance element, and the resistance element 273 is an example of a fifth resistance element.
The amplification circuit 260 further includes a switch SW2a that switches whether the resistance element 268 is electrically coupled between the output terminal 262c and the inverting input terminal 262a. The amplification circuit 260 includes a switch SW2b that switches whether the resistance element 272 is electrically coupled to the inverting input terminal 262a. The amplification circuit 260 includes a switch SW2c that switches whether the resistance element 273 is electrically coupled to the inverting input terminal 262a.
The amplification circuit 260 may further include a switch SW1a that switches whether the resistance element 271 is electrically coupled to the inverting input terminal 262a, and a switch SW1b that switches whether the resistance element 266 is electrically coupled between the output terminal 262c and the inverting input terminal 262a.
The control circuit 300 includes an adjustment circuit 320, a comparator 330, and a selector circuit 340 to switch the amplification factor of the amplification circuit 260 by performing control of each switch SW and control of input of the offset signal VS.
The comparator 330 is a circuit that performs threshold judgment. When the amplitude of the output signal VOUT does not fall within the predetermined amplitude range W, the comparator 330 operates the switch SW2a, the switch SW2b, and the switch SW2c, electrically couples the resistance element 268 between the output terminal 262c and the inverting input terminal 262a, electrically couples the resistance element 272 to the inverting input terminal 262a, and outputs an operation signal DET and a polarity signal DET_POL. The operation signal DET represents a command to electrically couple the resistance element 273 to the inverting input terminal 262a. The polarity signal DET_POL represents whether the amplitude of the output signal VOUT exceeds the upper limit value VH of the predetermined amplitude range W, or falls below the lower limit value VL of the predetermined amplitude range W. The comparator 330 outputs the operation signal DET and the polarity signal DET_POL by comparing a first threshold signal HV of a third voltage and a second threshold signal HL of a fourth voltage with the output signal VOUT. The first threshold signal HV represents the upper limit value VH of the predetermined amplitude range W obtained by adding a threshold voltage X to the reference voltage VREF (VH=VREF+X). The second threshold signal HL represents the lower limit value VL of the predetermined amplitude range W obtained by subtracting the threshold voltage X from the reference voltage VREF (VL=VREF−X).
When the amplitude of the output signal VOUT exceeds the upper limit value VH of the predetermined amplitude range W based on the operation signal DET and the polarity signal DET_POL, the selector circuit 340 inputs the first offset signal VHX of the first voltage as the offset signal VS to the one end of the resistance element 273. When the amplitude of the output signal VOUT falls below the lower limit value VL of the predetermined amplitude range W, the selector circuit 340 inputs the second offset signal VLX of the second voltage lower than the first voltage as the offset signal VS to the one end of the resistance element 273.
The adjustment circuit 320 adjusts the offset signal VS to be added to the detection signal VIN. The adjustment circuit 320 inputs, to the selector circuit 340, the first offset signal VHX of a first voltage VHX obtained by adding an adjustment voltage X/G based on the threshold voltage X to the reference voltage VREF (VHX=VREF+X/G), and the second offset signal VLX of a second voltage VLX obtained by subtracting the adjustment voltage X/G from the reference voltage VREF (VLX=VREF−X/G). The selector circuit 340 determines whether the amplitude of the output signal VOUT exceeds the upper limit value VH or falls below the lower limit value VL of the predetermined amplitude range W based on the operation signal DET and the polarity signal DET_POL, and depending on the determination result, outputs one of the first offset signal VHX and the second offset signal VLX input from the adjustment circuit 320.
According to the configuration above, the current sensor 200 can expand the measurable current range while suppressing variations in the amplitude of the output signal VOUT output from the amplification unit 250 that occur with switching of the gain.
The magnetic sensor 220 detects the magnetic field generated by the measurement current flowing through the conductor 210, and inputs, to the amplification unit 250, a signal having the current value or the voltage value corresponding to the magnetic field as the detection signal VIN. The detection signal VIN is input to the inverting input terminal 262a that is an input terminal of a negative feedback circuit configured by the operational amplifier 262, via the resistance element 271 and the switch SW1a. The output terminal 262c of the operational amplifier 262 is coupled to the inverting input terminal 262a via the resistance element 266 and the switch SW1b.
In the current sensor 200 according to the first embodiment, the switch SW1a and the switch SW1b are configured to always be in the ON state. However, the current sensor 200 may include a plurality of combinations of the switch SW1a, the switch SW1b, the resistance element 271, and the resistance element 266. In this case, the current sensor 200 may include a correction unit 290 similar to the correction unit 180 of
The output terminal 262c of the operational amplifier 262 is further coupled to the inverting input terminal 262a via the resistance element 268 and the switch SW2a. An initial configuration of the switch SW2a is in the OFF state. The initial configurations of the switch SW2b and the switch SW2c are also in the OFF state.
The reference voltage VREF of the output signal VOUT is applied to the non-inverting input terminal 262b of the operational amplifier 262 and to the other end of the resistance element 272 on an opposite side of the one end to which the switch SW2b is coupled.
In addition, in the first embodiment, the output signal VOUT is also input to the comparator 330 as a signal for the threshold judgment. The comparator 330 may be a general window comparator circuit. The comparator 330 is input with VH=VREF+X as a positive side judgment value, and VL=VREF−X as a negative side judgment value.
Although not described in the drawings, the judgment values may be input to the comparator 330 via an attenuator or a filter with a particular band limit. When the attenuator is used, the judgment values VH and VL may be any value. The VH and VL are also input to the adjustment circuit 320. The adjustment circuit 320 divides the +X used in the threshold judgment by G and outputs VHX=VREF+X/G and VLX=VREF−X/G to the selector circuit 340. The comparator 330 inputs the DET signal to the selector circuit 340, the switch SW2a, the switch SW2b, and the switch SW2c.
When VL<VOUT<VH, the DET signal is Lo, and the switch SW2a, the switch SW2b, and the switch SW2c are in the OFF state.
When VH<VOUT or VL>VOUT, the DET signal is Hi, and the switch SW2a, the switch SW2b, and the switch SW2c are in the ON state. In addition, the DET_POL signal that is the output of the comparator 330 is input to the selector circuit 340.
When VH<VOUT, the DET_POL signal is Hi, and when VL>VOUT, the DET_POL signal is Lo. When a combined determination of the DET_POL signal and the DET signal exceeds the threshold VH of the positive side, the selector circuit 340 outputs the first offset signal VHX as the offset signal VS. On the other hand, when the combined determination falls below the threshold VL of the negative side, the selector circuit 340 outputs the second offset signal VLX as the offset signal VS. The offset signal VS is input to the inverting input terminal 262a of the operational amplifier 262 via the resistance element 273 and the switch SW2c.
Although a voltage obtained by adjusting the judgment values VH and VL used for judging the threshold of the comparator 330 is input to the selector circuit 340, a voltage that is correlated with the thresholds VH and VL may be input, a voltage that is not correlated may be input, and may be selected as appropriate.
When the switches SW1a, SW1b are ON and the switches SW2a, SW2b, and SW2c are OFF, the output signal VOUT is expressed by the expression below.
Here, when R2=2× R1 and R3=4× R1, Expression 1 is expressed by the expression below.
When the switches SW1a, SW1b are ON and the switches SW2a, SW2b, and SW2c are ON, the output signal VOUT is expressed by the expression below.
Here, when R2=2× R1 and R3=4× R1, Expression 3 is expressed by the expression below.
From Expressions 2 and 4, when the switches SW2a, SW2b, and SW2c are OFF, a coefficient of the detection signal VIN is −4. On the other hand, when the switches SW2a, SW2b, and SW2c are ON, the coefficient of the detection signal VIN is −2. This corresponds to the output signal VOUT being threshold-judged by the comparator 330 and the switches SW2a, SW2b, and SW2c switching from OFF to ON, causing the amplification factor to decrease from the detection signal VIN to the output signal VOUT.
Here, the offset signal VS for the output signal VOUT to not change at a timing when the switches SW2a, SW2b, and SW2c change from OFF to ON is when the VOUT of the Expression 2 and the VOUT of the Expression 4 represent a same value. That is, it is when Expression 5 below is satisfied.
From the Expression 5, the offset signal VS for the output signal VOUT to not change is expressed by Expression 6.
The detection signal VIN is expressed as in the expression below by using an output signal Vh output from the magnetic sensor 220 and the reference voltage VREF.
By substituting the Expression 7 in the Expression 6, the offset signal VS is expressed by Expression 8 below.
When the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are OFF, the output signal VOUT is expressed by the expression below by substituting the Expression 7 in the Expression 2.
When the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are ON, the output signal VOUT is expressed by the expression below by substituting the Expression 7 and the Expression 8 in the Expression 4. However, VS is an offset voltage (fixed value).
The graphs illustrated in
A graph 400 of
As above, according to the current sensor 200 of the circuit configuration illustrated in
Here, the feedback factor β that is a negative feedback loop of the amplification circuit 260 will be considered.
When the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are OFF, a current input to the inverting input terminal 262a as a voltage VA of the inverting input terminal 262a, when viewed from an input side, can be expressed as (VIN−VA)/R1, and when viewed from an output side, can be expressed as (VA−VOUT)/R3. Since (VIN−VA)/R1 and (VA−VOUT)/R3 have the same value, the expression below is satisfied.
When the Expression 11 is expanded by VA, VA can be expressed by Expression 12 below.
Therefore, when the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are OFF, it can be expressed by the block diagram illustrated in
On the other hand, when the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are ON, the current input to the inverting input terminal 262a, when viewed from the input side, can be expressed as (VIN−VA)/R1+ (VREF−VA)/R2+ (VS−VA)/R2, and when viewed from the output side, can be expressed as (VA−VOUT)/(R3/2).
Since (VIN−VA)/R1+ (VREF−VA)/R2+ (VS−VA)/R2 and (VREF−VOUT)/(R3/2) have the same value, Expression 14 below is satisfied.
By expanding the Expression 14 by VA, VA can be expressed by Expression 15 below.
Therefore, when the switches SW1a and SW1b are ON and the switches SW2a, SW2b, and SW2c are ON, it can be expressed by the block diagram illustrated in
Here, since R2=2× R1 and R3=4× R1, 31=β2=1/5 are equal.
That is, according to the configuration of the current sensor 200 illustrated in
Generally, when an input signal is amplified by using the operational amplifier 262, the feedback factor β<1. Since an open loop gain configured by a feedback loop is A0× β, it can be seen that gain is smaller, F0 is also smaller, and frequency response is lower than before the feedback loop is configured.
According to the configuration of the current sensor 200 illustrated in
An amplification unit 750 is coupled to the output unit 280, and as an example, may be configured as an inverting amplification circuit or a non-inverting amplification circuit using an operational amplifier. The amplification unit 750 may amplify amplitude of a signal by a predetermined gain and output it. The amplification unit 750 is coupled to a branched output of the magnetic sensor 220 as the detection signal VIN, judges an input result based on a predetermined threshold, and controls gain so that it is smaller than a predetermined gain. In addition, similarly to the current sensor 200 according to the first embodiment, a plurality of thresholds may be prepared.
Unlike the current sensor 200, the current sensor 700 performs judgment of the threshold with the detection signal VIN and is suitable for applications that detect transient high currents more quickly.
As above, according to the current sensor 200 according to the first embodiment and the current sensor 700 according to the second embodiment, measurable current range can be expanded while suppressing variations in amplitude of a signal output from an amplification circuit that occur with switching of gain. Such a technical effect can be achieved, for example, as shown in the example described above, by a current sensor including a detection unit that outputs a detection signal corresponding to a magnetic field generated around a conductor by a flow of a measurement current therein (for example, a signal generated due to a Hall element receiving a magnetic field), an amplification circuit that includes a first input terminal (for example, an inverting input terminal of an operational amplifier), a second input terminal (for example, a non-inverting input terminal of an operational amplifier), and an output terminal, and amplifies the detection signal input via this first input terminal and outputs an output signal via the output terminal (for example, an operational amplifier or a comparator), where the amplification circuit is configured to be capable of switching at least a first amplification factor and a second amplification factor that is lower than the first amplification factor, and a control circuit that is capable of inputting an offset signal (VS) to the first input terminal (for example, the control circuit 300 in the example), and the control circuit is configured to turn off the input of the offset signal to the first input terminal during a first activation period in which the first amplification factor is set, and turn on the input of the offset signal to the first input terminal during a second activation period in which the second amplification factor is set.
For example, turning on and off the input of the offset signal to this first input terminal is controlled by a switch provided between the control circuit and the amplification circuit described in the example. Then, when an amplitude of the detection signal or the output signal falls within a predetermined amplitude range, an amplification factor of the amplification circuit is set to the first amplification factor (high gain), and when the amplitude of the detection signal or the output signal does not fall within the predetermined amplitude range, the amplification factor of the amplification circuit is set to the second amplification factor (low gain), and thus the input of the offset signal to the first input terminal suppresses change in the amplitude of the output signal that occurs in response to switching the amplification factor of the amplification circuit between the first amplification factor and the second amplification factor.
Further, since a feedback factor of the amplification circuit does not vary with switching of gain, variations in frequency response of the amplification circuit can also be suppressed. Such a technical effect can be achieved, for example, by the amplification circuit as shown by the example described above including an impedance element of which one end is coupled to the first input terminal, and this impedance element functions for suppressing change in a feedback factor of the amplification circuit that occurs by adding the offset signal to the detection signal. It is noted that a typical example of such an impedance element is coupling the resistance element 272 as described above in the example.
It is noted that a resistance value of each resistance element 266, 268, 271, 272, and 273 and a voltage applied to the resistance element 272 described above are an example. Depending on a value of the resistance value of each resistance element 266, 268, 271, 272, and 273 or a magnitude of the offset signal VS, the voltage applied to the resistance element 272 may be adjusted to any voltage based on the reference voltage VREF so that the feedback factor of the amplification circuit 260 does not vary with switching of gain.
In addition, a further variant of the current sensor described above is illustrated in
Here, since the non-inverting input terminal 262b is coupled from the VREF to the offset signal VS, the detection signal VIN switches from a sum of the output signal Vh output from the magnetic sensor 220 and the reference voltage VREF to a sum of the output signal Vh and the offset signal VS. When the detection signal VIN after this switch is a detection signal VIN′, the detection signal VIN′ is expressed by the expression below.
Then, in a state where the non-inverting input terminal 262b is coupled from the VREF to the offset signal VS, the switches SW1a and SW1b are ON, the switches SW2a, SW2b, SW2c, and SW2e are ON, and the switch SW2d is OFF, and the output signal VOUT is expressed by the expression below.
Here, when resistance elements are coupled so that R2=2×R1 and R3=4×R1, the Expression 18 is expressed by the expression below.
Here, at a timing when the switches SW2a, SW2b, SW2c, and SW2e are changed from OFF to ON and the switch SW2d is changed from ON to OFF (that is, a timing when gain of the amplification circuit 260 switches), variations in the output signal VOUT can be suppressed by setting the offset signal VS so that the VOUT in the Expression 2 and the VOUT in the Expression 19 represent a same value. That is, the offset signal VS is controlled to satisfy Expression 20 below.
By substituting the Expression 7 and the Expression 17 in the Expression 20, the offset signal VS is expressed by Expression 21 below.
Further, by substituting the Expression 17 and the Expression 21 in the Expression 19, the output signal VOUT is expressed by Expression 22 below. It is noted that expression VS is an offset signal and is a fixed value.
Here, it can be seen that the Expression 10 and the Expression 22 are the same expression. Thus, although
However, when deriving the input and output graphs illustrated in
While the present invention has been described above by using the embodiments, the technical scope of the present invention is not limited to the scope of the above-described embodiments. It is apparent to persons skilled in the art that various alterations or improvements can be made to the above-described embodiments. It is also apparent from description of the claims that the embodiments to which such modifications or improvements are made may be included in the technical scope of the present invention.
It should be noted that each process of the operations, procedures, steps, stages, and the like performed by the apparatus, system, program, and method shown in the claims, specification, or drawings can be executed in any order as long as the order is not indicated by “prior to”, “before”, or the like and as long as the output from a previous process is not used in a later process. Even if the operation flow is described using phrases such as “first” or “next” for the sake of convenience in the claims, specification, or drawings, it does not necessarily mean that the process must be performed in this order.
Number | Date | Country | Kind |
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2023-181912 | Oct 2023 | JP | national |
2024-169809 | Sep 2024 | JP | national |