1. Field of the Invention
The present invention relates to a piezoelectric element used in an oscillation circuit built in a portable device such as a mobile terminal and an oscillation circuit using the piezoelectric element.
This application is based on and claims the priority of Japanese Patent Application No. 2008-238273, filed on Sep. 17, 2008, the contents of which are incorporated herein by reference.
2. Description of the Related Art
As shown in
The system LSI 10 is further mounted with an oscillation circuit 20 generating a system clock and is externally mounted with a piezoelectric vibrator 20A such as a crystal vibrator constituting the oscillation circuit 20.
In the portable device having the above-mentioned configuration, driving for a long time is required to reduce the number of times of charging a battery, and it is intended to reduce power consumption of the oscillation circuit when the oscillation circuit is in the standby state (when the oscillation circuit is in an oscillated state and in a non-loaded state) or to extend the lifetime based on a voltage/power supply method.
In a semiconductor integrated circuit in which an internal source voltage is controlled, a circuit has been proposed in which low power consumption control is performed in the standby state and the amplitude Vd of a drain potential at the time of oscillation in a CMOS inverter constituting an oscillation gate in an oscillation circuit employing a piezoelectric oscillator is controlled using a dropped internal source voltage and the charging and discharging current of a capacitor externally connected to an output side of the CMOS inverter is reduced to reduce the power consumption of the oscillation circuit (for example, see PTL 1).
In an oscillation circuit employing a piezoelectric oscillator and using a CMOS inverter as an oscillation gate, an oscillation circuit has been proposed in which the load capacitance is reduced in the initial state of the oscillation operation, a negative resistance is maintained to such an extent to obtain an excellent oscillation-starting characteristic, the mutual conductance Gm of the CMOS inverter is reduced by the reduction of the load capacitance to reduce power consumption, by disconnecting a capacitive element from the CMOS inverter of an oscillation amplifier by the use of a switching element in an initial state of an oscillation operation (for example, see PTL 2).
In the oscillation circuit employing the piezoelectric vibrator described above, there is a need for microminiaturization in size and weight of the piezoelectric vibrator used in the oscillation circuit.
In a power-saved oscillation circuit of the portable device, the value (CI value) necessary for the small-size and small-thickness piezoelectric vibrator tends to increase and the decrease in power consumption required for the oscillation circuit and the crystal impedance value of the piezoelectric vibrator have a trade-off relation.
Here, a specific circuit configuration of a conventional oscillation circuit using the CMOS inverter and the piezoelectric vibrator is described.
The CMOS inverter IV01 includes a PMOS transistor PM1 and an NMOS transistor NM1 connected in series between the source voltage Vdd and the ground potential Vss. The gates of the transistors are connected to the input terminal XCIN and the drains thereof are connected to the output terminal XCOUT.
In the oscillation circuit, the CMOS inverter IV01 and the piezoelectric vibrator X1 constitute a positive feedback loop to perform an oscillation operation. In the configuration, at the time of oscillation, a driving current I1 flows in the PMOS transistor PM1, a through-current I10 flows in the NMOS transistor NM1, an output current I11 flows in the output side, a charging and discharging current I2 flows in the capacitive element C2, and an excitation current IX flows in the capacitive element C1 and the piezoelectric vibrator X1. Out of the currents, the sum of the through-current I10, the charging and discharging current I2 flowing in the capacitive element C2 constituting the load capacitance, and the excitation current IX flowing in the capacitive element C1 and the piezoelectric vibrator X1 constitutes the consumption current.
In the configuration, the load capacitance CL appears as an effective series equivalent capacitance as the oscillation circuit is viewed from both terminals of the piezoelectric vibrator (crystal vibrator) X1, and the load capacitance CL of the vibrator and the load capacitance of the oscillation circuit are set to be matched with each other. In the conventional oscillation circuit shown in
The present applicant previously filed an oscillation circuit obtained by improving the oscillation circuit shown in
As described above, it is preferable that the power consumption is reduced in performing the primary functions of the portable device. In order to reduce the driving current of the piezoelectric vibrator in the oscillation circuit, the mutual conductance Gm of the CMOS inverter should be reduced. In addition, the mutual conductance Gm of the CMOS inverter is determined depending on the source voltage of the oscillation circuit and the CMOS structure.
Here, the oscillation margin M of the oscillation circuit is calculated by the following expression, where ω represents an angular frequency of an oscillation frequency, C1 and C2 represent capacitances of capacitors externally connected between the input terminal and output terminal of the CMOS inverter serving as an oscillation gate of the oscillation circuit and the power source terminal, RL represents a negative resistance, R1 represents an effective resistance of the piezoelectric vibrator, and R1 (max) represents the maximum value of the effective resistance.
M=|−Gm|/(ω2C1·C2)×1/R1(max)=+RL/R1(max) (1)
The oscillation margin M needs to have a value equal to or greater than 5.
When it is reviewed from the viewpoint of the piezoelectric vibrator to accomplish the decrease in power consumption and the stabilization of oscillation in the oscillation circuit, the effective resistance R1 of the piezoelectric vibrator is a value determined by the requirement for a decrease in size of the piezoelectric vibrator and cannot be excessively lowered concerning the decrease in size of the piezoelectric vibrator.
Therefore, in order to keep the oscillation margin at such a value to stabilize the oscillation, it can be seen from Expression 1 that it can be realized by lowering the capacitance value of the capacitor constituting the load capacitance and being externally connected to the CMOS inverter, that is, the capacitance value of the load capacitance.
Accordingly, the present applicant previously filed an oscillation circuit having a piezoelectric vibrator with a low load capacitance CL (which satisfies 3 pF≦CL<5 pF) which is suitable as a low power consumption specification required for an integrated circuit to be mounted therewith (see PTL 3).
In the oscillation circuit shown in
When the oscillation gate shown in
In this way, the circuit of
For example,
In the characteristic curve shown in
That is, when the slope S (=−6 ppm/pF) at the load capacitance CL of 12.5 pF is assumed as 1 and the load capacitance CL is 6 pF, the frequency deviation (ppm) is generated at four times the rate with 12.5 pF. When the load capacitance CL is 3 pF, the frequency deviation (ppm) is generated at 12 times the rate with 12.5 pF. Accordingly, when the load capacitance CL is lowered, it is necessary to increase the precision of the capacitance values of the load capacitance in the oscillation circuit and the load capacitance in the piezoelectric vibrator, but it is difficult to lower the load capacitance CL due to the manufacturing variations.
That is, when the frequency stability Δf (7.3 ppm/pF) at the load capacitance CL of 12.5 pF is assumed as 1 and the load capacitance CL is 6 pF, the frequency deviation (ppm) is generated at 1.8 times the rate with 12.5 pF. When the load capacitance CL is 3 pF, the frequency deviation (ppm) is generated at 2.8 times the rate with 12.5 pF.
In this way, with the low load capacitance CL (for example, 3 pF), the frequency deviation increases by 2.8 times that with 12.5 pF. Accordingly, in order to reduce the load capacitance CL (the decrease in CL), it is necessary to improve the frequency stability with respect to the allowable capacitance error (±5%).
The invention is made in consideration of the above-mentioned circumferences. A goal of the invention is to provide a piezoelectric vibrator which can accomplish a decrease in power consumption without adversely affecting an oscillation-starting characteristic and a steady stable operation and can improve the oscillation frequency stability with respect to a variation in load capacitance CL by reducing the load capacitance CL of a piezoelectric vibrator, and an oscillation circuit employing the piezoelectric vibrator.
To accomplish the above-mentioned goal, according to an aspect of the invention, there is provided a piezoelectric vibrator which is connected to an oscillation circuit formed on an integrated circuit, wherein the piezoelectric vibrator has a load capacitance CL substantially equal to a floating capacitance Cs formed by the oscillation circuit of the integrated circuit or a load capacitance CL larger by a predetermined capacitance than the floating capacitance Cs, and a load capacitance of the oscillation circuit connected to the piezoelectric vibrator is matched with the load capacitance CL of the piezoelectric vibrator by the use of a capacitive element.
The piezoelectric vibrator having the above-mentioned configuration has a load capacitance CL substantially equal to the floating capacitance Cs of the oscillation circuit or the load capacitance CL larger by a predetermined capacitance than the floating capacitance Cs.
For example, as shown in
Accordingly, it is possible to reduce the load capacitance CL of the piezoelectric vibrator, thereby accomplishing a decrease in power consumption and improving the stability of an oscillation frequency with respect to the variation of the load capacitance CL.
In the piezoelectric vibrator of the aspect of the invention, the floating capacitance Cs of the oscillation circuit may be in the range of about 1 pF to about 4 pF, and the load capacitance CL may be in the range of about 3 pF to about 5 pF.
Accordingly, a piezoelectric vibrator with a load capacitance CL of 3 pF to 5 pF can be selected and used for the oscillation circuit with a floating capacitance Cs of 1 pF to 4 pF. For example, 3 pF, 3.7 pF, 4.4 pF, 5.0 pF, and the like can be normally determined as the load capacitance CL of the piezoelectric vibrator.
According to another aspect of the invention, there is provided an oscillation circuit including: a CMOS semiconductor circuit formed on an integrated circuit; and a piezoelectric vibrator connected to the CMOS semiconductor circuit, wherein the piezoelectric vibrator has a load capacitance CL substantially equal to a floating capacitance Cs formed by the CMOS semiconductor circuit or a load capacitance CL larger by a predetermined capacitance than the floating capacitance Cs, and a capacitive element that matches a load capacitance of the CMOS semiconductor circuit connected to the piezoelectric vibrator with the load capacitance CL of the piezoelectric vibrator is provided.
In the oscillation circuit including a CMOS semiconductor circuit and a piezoelectric vibrator connected to the CMOS semiconductor circuit, the piezoelectric vibrator has a load capacitance CL substantially equal to a floating capacitance Cs formed by the CMOS semiconductor circuit or a load capacitance CL larger by a predetermined capacitance than the floating capacitance Cs. The load capacitance CL of the piezoelectric vibrator and a load capacitance of the CMOS semiconductor circuit connected to the piezoelectric vibrator are matched by the use of a capacitive element.
Accordingly, it is possible to reduce the load capacitance CL of the piezoelectric vibrator, thereby accomplishing a decrease in power consumption and improving the stability of an oscillation frequency with respect to the variation of the load capacitance CL.
In the oscillation circuit, the floating capacitance Cs formed by the CMOS semiconductor circuit may be in the range of about 1 pF to about 4 pF, and the load capacitance CL may be in the range of about 3 pF to about 5 pF.
Accordingly, a piezoelectric vibrator with a load capacitance CL of 3 pF to 5 pF can be selected and used for the oscillation circuit with a floating capacitance Cs of 1 pF to 4 pF. For example, 3 pF, 3.7 pF, 4.4 pF, 5.0 pF, and the like can be normally determined as the load capacitance CL of the piezoelectric vibrator.
In the oscillation circuit, the CMOS semiconductor circuit may include a CMOS inverter, the piezoelectric vibrator may be connected between input and output terminals of the CMOS inverter, and a first capacitive element Cg connected between the input terminal of the CMOS inverter and the ground potential Vss and a second capacitive element Cd connected between the output terminal of the CMOS inverter and the ground potential Vss may be provided. Here, the capacitances of the first capacitive element Cg and the second capacitive element Cd may be determined so that the load capacitance CL of the piezoelectric vibrator satisfies a relational expression of CL=Cs+Cg×Cd/(Cg+Cd).
Regarding the oscillation circuit having the above-mentioned configuration, as shown in
Accordingly, it is possible to reduce the load capacitance CL of the piezoelectric vibrator, thereby accomplishing a decrease in power consumption and improving the stability of an oscillation frequency with respect to the variation of the load capacitance CL.
According to the invention, it is possible to reduce the load capacitance CL of the piezoelectric vibrator, thereby accomplishing a decrease in power consumption and improving the stability of an oscillation frequency with respect to the variation of the load capacitance CL.
Hereinafter, an embodiment of the invention will be described with reference to the accompanying drawings. An oscillation circuit according to the invention is obtained by improving an oscillation circuit (the oscillation circuit described in PTL 3 previously filed by the present applicant) as an improvement of the oscillation circuit having a conventional piezoelectric vibrator so as to enhance the stability. Accordingly, the oscillation circuit described in PTL 3 and the oscillation circuit according to the invention have the same basic configuration and have a lot of common configurations. For this reason, the oscillation circuit described in PTL 3 previously filed by the present applicant will be described before describing an embodiment of the invention.
The configuration of the oscillation circuit described in PTL 3 previously filed by the present applicant is shown in
The oscillation circuit shown in
The CMOS inverter IV02 includes a CMOS inverter having a PMOS transistor PM11 and a NMOS transistor NM11 connected in series between a first voltage source terminal supplied with a source voltage Vdd and a second voltage terminal supplied with the ground potential and a feedback resistor Rf.
Driving-current-controlling resistive elements r1 and r2 limiting a driving current for exciting the piezoelectric vibrator X2 are connected between the source of the PMOS transistor PM1 of the CMOS inverter and the first voltage source terminal and between the source of the NMOS transistor of the CMOS inverter and the second voltage source terminal, respectively.
The values of the capacitive elements C3 and C4 are selected as capacitance values which can compensate for the decrease in oscillation margin based on the decrease in mutual conductance Gm of the CMOS inverter which results from the interposing of the driving-current-controlling resistive elements r1 and r2.
In this case, due to the request for a decrease in power consumption from makers manufacturing the system LSI used to perform primary functions of a portable device, the mutual conductance Gm of the CMOS inverter should be reduced in order to reduce a driving current of a piezoelectric vibrator in an oscillation circuit. In addition, the mutual conductance Gm of the CMOS inverter is determined depending on the source voltage of the oscillation circuit and the CMOS structure.
Here, the oscillation margin M of the oscillation circuit is calculated by the following expression, where w represents an angular frequency of an oscillation frequency, C1 and C2 represent capacitances of capacitors externally connected between the input terminal and output terminal of the CMOS inverter serving as an oscillation gate of the oscillation circuit and the power source terminal, RL represents a negative resistance, R1 represents an effective resistance of the piezoelectric vibrator, and R1 (max) represents the maximum value of the effective resistance.
M=|−Gm|/(ω2C1·C2)×1/R1(max)=+RL/R1(max) (1)
The oscillation margin M needs to have a value equal to or greater than 5.
When it is reviewed from the viewpoint of the piezoelectric vibrator to accomplish the decrease in power consumption and the stabilization of oscillation in the oscillation circuit, the effective resistance R1 of the piezoelectric vibrator is a value determined by the requirement for a decrease in size of the piezoelectric vibrator and cannot be excessively lowered concerning the decrease in size of the piezoelectric vibrator.
Therefore, in order to keep the oscillation margin at such a value to stabilize the oscillation, it can be seen from Expression 1 that it can be realized by lowering the capacitance value of the capacitor constituting the load capacitance and being externally connected to the CMOS inverter, that is, the capacitance value of the load capacitance.
To meet such requirement, it is required that the piezoelectric vibrator of the oscillation circuit shown in
In the piezoelectric vibrator of the oscillation circuit shown in
In the circuit shown in
For example, when the mutual conductance of the CMOS inverter in the conventional circuit shown in
Since the charging and discharging current flowing in the capacitive elements C3 and C4 connected between the input terminal and the output terminal of the CMOS inverter constituting the load capacitance of the crystal vibrator as the piezoelectric vibrator and the voltage source terminal is proportional to the capacitance values of the capacitive elements C3 and C4, the charging and discharging current flowing in the capacitive elements C3 and C4 having small capacitance values is reduced. Accordingly, the power consumption is reduced with the reduction in charging and discharging current.
In this way, by constructing the oscillation circuit including a piezoelectric vibrator having a small load capacitance, it is possible to accomplish the oscillation-starting characteristic and the oscillation stability with the improvement of the negative resistance RL and to accomplish the decrease in power consumption with the reduction in charging and discharging current.
The measured values and the calculated values of characteristic data representing the relation of the negative resistance RL with respect to the load capacitance CL are shown in
ΔRL=RL2/RL1=(CL1/CL2)2,CL1>CL2 (2)
As can be clearly seen from the above expression, the negative resistance RL is inversely proportional to the square of the load capacitance CL.
Characteristic data representing the relation between the load capacitance CL and the charging and discharging current Id (corresponding to I4 in
Accordingly, when the values of the charging and discharging current Id corresponding to the load capacitances CL1 and CL2 are Id1 and Id2, the decrement ΔId of the charging and discharging current Id depending on the load capacitance CL is expressed by Expression 3.
ΔId=Id2/Id1=CL2/CL1,CL1>CL2 (3)
As can be clearly seen from the above expression, the charging and discharging current Id is proportional to the load capacitance CL.
The limitation of the load capacitance CL when the piezoelectric vibrator having a low load capacitance CL is used will be described below. The equivalent circuit of the piezoelectric vibrator is shown in
The theoretical limitation of the capacitance value of the load capacitor CL with respect to the inter-electrode capacitance C0 in the equivalent circuit shown in
The lower limit of the load capacitance CL increases by connecting the piezoelectric vibrator to the system LSI 100 in this way. However, as shown in
The limitation of the resistance value of the feedback resistance Rf when the oscillation gate of the oscillation circuit having the piezoelectric vibrator shown in
Fc∝Gm/(Rf×CL2) (4)
The cutoff frequency Fc increases when the value of the load capacitance CL decreases in Expression 4, and the negative resistance RL rapidly decreases when the cutoff frequency gets close to the oscillation frequency of the oscillation circuit. Characteristic data representing the relation of the load capacitance CL and the negative resistance RL with respect to the cutoff frequency Fc is shown in
In the oscillation circuit in which the decrease in power consumption is accomplished, the mutual conductance Gm is set to be low and thus the piezoelectric vibrator having the load capacitance CL with a small capacitance value can be used in a stable state by setting the feedback resistance Rf to be as large as possible. An example of the appropriate value of the feedback resistance Rf when the cutoff frequency Fc is set to ⅓ or less of the oscillation frequency fL of the oscillation circuit is shown in
In this way, in the oscillation circuit shown in
According to the oscillation circuit shown in
However, due to the decrease in load capacitance CL, the problems with the allowable capacitance error ΔC of the load capacitance CL and the frequency deviation Δf of the oscillation frequency become remarkable.
As shown in
That is, when the frequency stability Δf (7.3 ppm/pF) at the load capacitance CL of 12.5 pF is assumed as 1 and the load capacitance CL is 6 pF, the frequency deviation (ppm) is generated at 1.8 times the rate with 12.5 pF. When the load capacitance CL is 3 pF, the frequency deviation (ppm) is generated at 2.8 times the rate with 12.5 pF.
In this way, with the low load capacitance CL (for example, 3 pF), the frequency deviation increases by 2.8 times that with 12.5 pF. Accordingly, in order to reduce the load capacitance CL (the decrease in CL), it is necessary to improve the oscillation frequency stability with respect to the allowable capacitance error of the load capacitance CL.
A goal of the invention is to provide an oscillation circuit which can solve the problem with the frequency stability caused at the time of reducing the load capacitance CL of the piezoelectric vibrator connected to the oscillation circuit. An oscillation circuit according to an embodiment of the invention will be described below.
The oscillation circuit according to the embodiment of the invention shown in
In
Specifically, in the conventional oscillation circuit shown in
Since the floating capacitance Cs deteriorates the characteristic of the oscillation circuit, it was conventionally considered that the floating capacitance Cs is set to be as small as possible, but there was a limit therein. Therefore, the inventor found that the oscillation frequency stability could be improved actively using the floating capacitance Cs through experiments and studies.
That is, in the oscillation circuit according to the invention, it was proved that the oscillation frequency stability with respect to the allowable capacitance error ΔC of the load capacitance CL is improved by selecting the capacitance values of the capacitive elements (capacitors) Cg and Cd so that the load capacitance CL satisfies the following relational expression actively using the floating capacitance Cs.
CL=Cs+Cg×Cd/(Cg+Cd)
That is, since the load capacitance CL is the sum of the floating capacitance Cs and the capacitance value Cext (=Cg×Cd/(Cg+Cd)) of the external capacitive element (capacitor), the capacitance value Cext of the external capacitive element (capacitor) can be selected as a difference value between the load capacitance CL and the floating capacitance Cs (1 pF to 4 pF).
When the capacitance values of the capacitive elements (capacitors) Cg and Cd are selected so as to satisfy the relational expression of “CL=Cs+Cg×Cd/(Cg+Cd)”, it means that the load capacitance CL of the piezoelectric vibrator is matched with the load capacitance of the oscillation circuit as viewed from the piezoelectric vibrator.
In
Characteristic curve A represents data of the oscillation frequency stability Δf (ppm) when the floating capacitance Cs is 0 pF (ideal value) and the load capacitance CL varies in ±5% (normal allowable error range) and is the same as shown in
On the other hand, characteristic curve B represents an example where the capacitance values of the capacitive elements (capacitors) Cg and Cd in the circuit shown in
As indicated by characteristic curve B, it is proved that the frequency stability in the region (around about 3 pF) surrounded with a broken circle and having a low load capacitance CL is more stable than that at the load capacitance CL of 12.5 pF.
As described above, the floating capacitance Cs varies depending on the number of layers in the substrate and the piezoelectric vibrator is used so that the load capacitance CL is in the range of 3 pF to 6 pF depending on the floating capacitance Cs, for example, in the range of 1 pF to 5 pF. For example, 3 pF, 3.7 pF, 4.4 pF, and 6 pF can be normally selected as the load capacitance CL.
The stability of the oscillation frequency will be described below.
The oscillation frequency stability Δf is a difference between the oscillation frequency fosc and the nominal frequency Fo. Accordingly, in the equivalent circuit of the oscillation circuit shown in
Δf=fosc−Fo
=frx(Css/(2×(Co+Cs+Cext))−Css/(2×(Co+CL))) (5)
In Expression 5, fosc=Fo when CL=Cs+Cext. For example, the external capacitive element (capacitor) Cext generally has an allowable capacitance error of ±5% or ±10%. Accordingly, when the allowable capacitance error is −ΔCext, the load capacitance decreases (CL>Cs+Cext−ΔCext). Accordingly, in Expression 5, the oscillation frequency stability Δf is greater than zero. That is, like Δf=fosc−Fo>0, it means that the frequency precedes. On the other hand, when the allowable capacitance error is +ΔCext, the load capacitance increases (CL<Cs+Cext+ΔCext). Accordingly, in Expression 5, the oscillation frequency stability Δf is smaller than zero. That is, like Δf=fosc−Fo<0, it means that the frequency lags.
In this way, a deviation is caused in the oscillation frequency depending on the allowable capacitance error of the external capacitive element (capacitor), whereby the stability of the oscillation frequency decreases.
When the allowable capacitance error of the external capacitive element (capacitor) Cext is −ΔCext, the oscillation frequency deviation Δf/f precedes as described above and is represented by [Δf/f]max which is expressed by Expression 6.
[Δf/f]max=Css/(2×(Co+Cs+Cext−ΔCext)) (6)
Similarly, when the allowable capacitance error of the external capacitive element (capacitor) Cext is +ΔCext, the oscillation frequency deviation Δf/f lags as described above and is represented by [Δf/f]min which is expressed by Expression 7.
[Δf/f]min=Css/(2×(Co+Cs+Cext+ΔCext)) (7)
The oscillation frequency deviation (Δf)CL with respect to the variation of the load capacitance CL can be expressed by Expression 8 from Expressions 6 and 7.
(Δf)CL=[Δf/f]max−[Δf/f]min (8)
Expressions 6 to 8 can be expressed as a graph as shown in
That is, by selecting the capacitance values of the capacitive elements Cg and Cd actively using the floating capacitance Cs so as to satisfy the relational expression of “CL=Cs+Cg×Cd/(Cg+Cd)”, the frequency stability equivalent to or more excellent than that at 12.5 pF can be obtained even when the load capacitance CL decreases.
Examples of a combination of the floating capacitance Cs and the low load capacitance CL in which the oscillation frequency deviation (Δf)CL is more stable that that at a load capacitance of CL=12.5 pF are shown in
Since it is necessary for realizing the low load capacitance that the capacitance value of the external capacitive element (capacitor) Cext used should be low, a capacitor with a capacitances every 0.1 pF are used in this embodiment.
For reference, the combinations of the floating capacitance Cs and the external capacitive element (capacitor) at a load capacitance of CL=12.5 pF generally used and examples of the oscillation frequency deviation (Δf)CL are shown in
Since the load capacitance is low, it is possible to reduce the loss of the floating capacitance Cs by reinforcing the GND and laying out the substrate as shown in
Cs=Cs
0+((Cs3×Cs4)/(Cs3+Cs4))(9)
Cs0<<Cs3=Cs4 (10)
In Expressions 9 and 10, Cs0, Cs3, and Cs4 are expressed by Expressions 11 to 13.
Cs
0
=Cs
01
+Cs
02 (11)
Cs
3
=Cs
31
+Cs
32
+Cs
33
+ . . . Cs
3n (12)
Cs
4
=Cs
41
+Cs
42
+Cs
43
+ . . . Cs
4n (13)
According to the above-mentioned configuration of the invention, by selecting the load capacitance CL in the oscillation circuit with reduced power consumption (
While the embodiment of the invention has been described hitherto, the invention is not limited to the oscillation circuit described and shown above, but may be modified in various forms without departing from the concept of the invention.
Number | Date | Country | Kind |
---|---|---|---|
2008-238273 | Sep 2008 | JP | national |
This application is a continuation of PCT/JP2009/004261 filed on Aug. 31, 2009, which claims priority to Japanese Application No. 2008-238273 filed on Sep. 17, 2008. The entire contents of these applications are incorporated herein by reference.
Number | Date | Country | |
---|---|---|---|
Parent | PCT/JP2009/004261 | Aug 2009 | US |
Child | 13048334 | US |