This application claims priority under 35 U.S.C. §119 to Japanese Patent Application No. 2011-015446 filed on Jan. 27, 2011, the entire content of which is hereby incorporated by reference.
1. Field of the Invention
The present invention relates to a method of realizing a low power-consumption crystal oscillation circuit, and more particularly, to a method of determining the load capacitance that makes up the crystal oscillation circuit, and an electronic apparatus using the same.
2. Description of the Related Art
In regard to a portable apparatus such as a timepiece and a cellular phone, because of demands for long-term operation of the apparatus without charging and a reduction in the frequency of charging the installed battery, a reduction in the driving power of an oscillation circuit to which a piezoelectric element such as a crystal vibrator or the like, which is used for the apparatus, is assembled, and ultra-low power-consumption in the oscillation circuit standby state (in a state where the oscillation circuit has been oscillated and an unloaded state) are further requested.
A typical oscillation circuit using a crystal vibrator, includes a CMOS inverter, a crystal vibrator connected between an input terminal and an output terminal of the CMOS inverter, and capacitative elements.
Recently, in an oscillation circuit that is mounted in a portable apparatus or the like, lower power consumption is requested, but as a result thereof, it is necessary to decrease the driving current of a crystal vibrator in the oscillation circuit. Therefore, making the mutual conductance Gm of a CMOS inverter in the oscillation circuit small is considered. However, when the mutual conductance Gm is decreased, an oscillation margin M of the oscillation circuit may be decreased.
To maintain the oscillation margin M of the oscillation circuit even when the mutual conductance Gm is decreased, the crystal vibrator of the oscillation circuit have a load capacitance CL that is appropriate for the specification of lower power consumption requested with respect to the IC of a microcomputer to which the oscillation circuit is assembled. That is, the present applicant has suggested decreasing the load capacitance CL, that is, the lowering of CL (3 to 5 pF) with respect to 12.5 pF that is a load capacitance CL of a crystal vibrator that has been used in the related art (refer to JP-A-2008-205658).
However, when the load capacitance CL is decreased, a problem, which is related to the capacitance tolerance of the load capacitance CL and the frequency deviation Δf of the oscillation frequency, becomes significant. For example, in regard to safety Δf (ppm) of the oscillation frequency in a case where the load capacitance CL varies by ΔC (±5%) that is the range of a normal capacitance tolerance, when the load capacitance CL is 12.5 pF, the safety Δf of the oscillation frequency becomes 7.3 ppm at ΔC of 1.25 pF, when the load capacitance CL is 6 pF, the safety Δf of the oscillation frequency becomes 13.2 ppm at ΔC of 0.6 pF, and when the load capacitance CL is 3 pF, the safety Δf of the oscillation frequency becomes 20.5 ppm at ΔC of 0.3 pF.
That is, in the load capacitance CL (3 pF), the frequency deviation increases by 2.8 times compared to 12.5 pF in the related art, such that to realize the low capacitance (low CL), it is necessary to improve the safety of the oscillation frequency with respect to the capacitance tolerance of the load capacitance CL.
In addition, the decrease in the load capacitance CL may contribute to lower power consumption in the crystal oscillation circuit, and therefore greatly contribute to the saving of power of an electronic apparatus that uses the crystal oscillation circuit.
When the load capacitance CL is decreased, lower power consumption of the crystal oscillation circuit may be realized. However, even when the lowering of CL is realized, the relationship with an oscillation activation time Ts is unclear, such that the time taken to activate in actual use becomes a problem. When there is information for whether oscillation occurs or information for the load capacitance appropriate to obtain a predetermined Ts, a design is easily made. Further, in practice, even when a crystal vibrator having an arbitrarily low CL value is incorporated into an oscillation circuit and is used, it is possible to use it without concern. Therefore, it is desired to know the relationship between the oscillation activation time Ts and the load capacitance CL.
An object of the invention is to provide a method of determining the value of a load capacitance CL appropriate for a desired oscillation activation time Ts by clarifying the relationship between the oscillation activation time Ts of an oscillation circuit using a crystal vibrator and the load capacitance CL. Specifically, this object is realized by the following methods.
(1) According to a first aspect of the invention, there is provided a method of determining a load capacitance CL in an oscillation circuit using a crystal vibrator. The method includes means A for obtaining an oscillation activation time Ts (Ts0) from an oscillation margin M by using a relational equation between the oscillation activation time Ts and the oscillation margin M or a relational graph thereof; means B for obtaining a relational equation between the oscillation activation time Ts and a load capacitance CL in an arbitrary driving current value Ios from the relational equation between the oscillation activation time Ts and the load capacitance CL, and the driving current value Ios; and means C for determining the load capacitance CL corresponding to the oscillation activation time Ts0 obtained by the means A, by using the relational equation between the oscillation activation time Ts and the load capacitance CL, which is obtained by the means B.
(2) According to a second aspect of the invention, the relational equation between the oscillation activation time Ts and the oscillation margin M in the means A may be represented by the following equation.
M=a/(Ts)b (here, a and b are constants)
(3) According to a third aspect of the invention, the relational equation between the oscillation activation time Ts and the oscillation margin M in the means A may be represented by the following equation.
M=3.74(Ts)−0.70
(4) According to a fourth aspect of the invention, the relational equation between the oscillation activation time Ts and the load capacitance CL in the means B may be represented by the following equation.
Ts=c*(CL)2+d*(CL)+e(here, c, d, and e are constants)
(5) According to a fifth aspect of the invention, in the means B, the relational equation between the oscillation activation time Ts and the load capacitance CL in at least two driving current values Ios (Ios1 and Ios2) that are obtained beforehand may be represented by the following equations (1) and (2),
Ts=c1*(CL)2+d1*(CL)+e1(Ios=Ios1) (1),
Ts=c2*(CL)2+d2*(CL)+e2(Ios=Ios2) (2),
a relational equation between the oscillation activation time Ts and the load capacitance CL in an arbitrary driving current value Ios, that is, the following equation (3) may be determined by using equations (1) and (2),
Ts=c0*(CL)2+d0*(CL)+e0(in a case where the driving current value Ios is an arbitrarily value(Ios0) (3), and
in the means C, the load capacitance CL may be determined from the oscillation activation time Ts0 obtained by equation (3) and the means A.
(6) According to a sixth aspect of the invention, in the means B, the relational equation between the oscillation activation time Ts and the load capacitance CL may be represented by the following equations (4) to (6), the driving current value Ios being used as a parameter,
Ts=0.0191(CL)2+0.0487(CL)+0.0623(when Ios=160 nA) (4),
Ts=0.0424(CL)2−0.0030(CL)+0.1240(when Ios=95 nA) (5),
Ts=0.0558(CL)2+0.0316(CL)+0.1141(when Ios=70 nA) (6),
a relational equation between the oscillation activation time Ts and the load capacitance CL in an arbitrary driving current value Ios, that is, the following equation (7) may be obtained (that is, α, β, and γ in equation (4) are determined) by using equations (4) and (5) when the driving current value Ios of the oscillation circuit that is used satisfies a relationship of Ios≧95 nA, and equations (5) and (6) when the driving current value Ios satisfies a relationship of Ios≦95 nA,
Ts=α(CL)2+β(CL)+γ(in a case where the driving current value Ios is an arbitrarily value(Ios0)) (7), and
in the means C, the load capacitance CL may be determined by using equation (7) obtained by the means B.
(7) According to a seventh aspect of the invention, there is provided an electronic apparatus including a crystal oscillation circuit that is mounted in the electronic apparatus, and has a load capacitance determined by the method of determining a load capacitance CL according to any one of first to sixth aspects of the invention.
According to the invention, it becomes clear for the first time that a quadratic relationship is present between an oscillation activation time Ts and a load capacitance CL, when a driving current value Ios of an oscillation circuit is used as a parameter. That is, it becomes clear for the first time that the following equation of Ts=α*(CL)2+β(CL)+γ (α, β, and γ are constants) is established. A necessary oscillation activation time Ts0 is obtained from an oscillation margin M0 that is a requested value by using the relational equation between the oscillation margin M and the oscillation activation time Ts or a relational graph thereof. Furthermore, the load capacitance CL of an oscillation circuit may be determined from the Ts0 by using the following relational equation of Ts=α*(CL)2+β(CL)+γ, which was discovered by the present inventor. Therefore, at first, it is not necessary to determine the load capacitance CL of the oscillation circuit, and the CL value of the oscillation circuit may be automatically determined by only determining the design values of the driving current Ios and the oscillation margin M of the oscillation circuit, and as a result thereof, the design may be easily made. In addition, the Ts value becomes 1.0 second or less, such that the lowering of CL of a crystal oscillation circuit may be realized, and as a result thereof, lower power consumption of the crystal oscillation circuit and lowered power consumption of an electronic apparatus in which the crystal oscillation circuit is assembled may be realized.
In addition, the CMOS inverter IV01 includes, a PMOS transistor PM11 that is serially connected between a first power source terminal with which a power source voltage Vdd is shared and a second power source terminal to which a ground potential is supplied, a CMOS inverter including an NMOS transistor NM11, and a feedback resistor RE
Driving current adjusting resistor elements r1 and r2 that restrict a driving current for exciting the crystal vibrator X2 are connected between the source of the PMOS transistor PM11 of the CMOS inverter IV01 and the first power source terminal, and between the NMOS transistor NM11 of the CMOS inverter IV02 and the second power source terminal.
In order to achieve lower power consumption, the driving current of a crystal vibrator in the oscillation circuit may decrease and making the mutual conductance Gm of a CMOS inverter in the oscillation circuit small is considered. However, as the mutual conductance Gm decreases, an oscillation margin M of the oscillation circuit may decrease.
The oscillation margin M of the oscillation circuit is given by the following equation (1).
M=|−Gm|/{(ω
2
Cg·Cd)*(1/R1(max))}=+RL/R1(max) (1)
Here, ω represents the angular frequency of an oscillation frequency, RL represents negative resistance, R1 (max) represents the maximum value of the effective resistance R1 of the crystal vibrator, and commonly, a value of 5 or more is requested for the oscillation margin M.
In equation (1), the effective resistance R1 of the crystal vibrator is a value determined from a request for miniaturization of the crystal vibrator, such that it is difficult to make the effective resistance R1 too small. Therefore, to maintain the oscillation margin M of the oscillation circuit even when the mutual conductance Gm is decreased, it becomes clear that it is preferable to decrease the value of a load capacitance Cg and/or Cd of a condenser making up a load capacitance that is externally attached to the CMOS inverter.
A crystal vibrator-side equivalent circuit between the input and output terminals XCIN and XCOUT in
Therefore, the following equation (2) is established.
CL=Cs+Cg*Cd/(Cg+Cd) (2)
When externally attached capacitative elements Cg and Cd are selected in conformity with the oscillation frequency in such a manner that the CL value (2 to 6 pF) satisfying equation (2) is obtained, it is possible to improve the stability of the oscillation frequency. That is, the load capacitance CL is the sum of the stray capacitance Cs and an external capacitance Cext {=Cg*Cd/(Cg+Cd)}, such that when the value of the external capacitance Cext is set to become to the difference between the load capacitance CL and the stray capacitance Cs, equation (2) is satisfied, and therefore it means that the load capacitance CL of the crystal vibrator and the load capacitance at the oscillation circuit side seen from the crystal vibrator are matched.
An object of the invention is to provide a method of determining the value of a load capacitance CL appropriate for a desired oscillation activation time by clarifying a relationship between the oscillation activation time of an oscillation circuit using a crystal vibrator and the load capacitance CL.
The oscillation activation time is the time taken until a waveform of oscillation becomes stable after an oscillation circuit having a crystal vibrator is attached to an apparatus and power is supplied, but the oscillation activation time is defined as the time taken until reaching 90% of the amplitude of a normal waveform from an aspect of measurement.
From
In a low CL oscillation circuit in which the load capacitance CL is decreased, a large oscillation margin is obtained, and therefore it may be considered that the oscillation activation time Ts can be decreased. However, the relationship between the oscillation activation time Ts and the load capacitance CL was unclear until now. Therefore, the present inventor has measured the oscillation activation time Ts with respect to an oscillation circuit having various low CL values, and has found that the oscillation activation time Ts and the load capacitance CL have a very close correlation.
From
Hereinafter, a specific method of the invention will be described in detail. First, the driving current value Ios0 and the oscillation margin M0 of the oscillation circuit are determined. These values may be selected by a designer depending on the electronic apparatus to which the oscillation circuit is connected (for example, a portable terminal such as a cellular phone, and an electronic book). Next, the oscillation activation time Ts (Ts0) is obtained from a relational equation Ts=a*M−b, which can be obtained beforehand by using a relational equation (or a graph) of
Next, data such as
Ts=c1*(CL)2+d1*(CL)+e1(Ios=Ios1)
Ts=c2*(CL)2+d2*(CL)+e2(Ios=Ios2)
In addition, with respect to three values of the load capacitance CL (x1, x2, and x3), through a simple proportion, a curved line in the driving current Ios0, that is, Ts=c0*(CL)2+d0*(CL)+e0 (Ios=Ios0) is obtained. For example, from Ts(x1) at Ios1=c1*(x1)2+d1*(x1)+e1, and Ts(x1) at Ios2=c2*(x2)2+d2*(x2)+e2, Ts(x1) at Ios0={(Ios0-Ios1)/(Ios1-Ios2)}*(Ts(x1) at Ios1−Ts(x1) at Ios2)+Ts(x1) at Ios1 is obtained. That is, calculation is performed on the assumption that the oscillation activation time Ts is proportional to the value of the driving current Ios0. In this manner, Ts(x2) at Ios0 and Ts(x3) at Ios0 are obtained. From these three sets of values, that is, (x1, Ts(x1) at Ios0), (x2, Ts(x2) at Ios0), and (x3, Ts(x3) at Ios0), an equation of the oscillation activation time Ts with respect to the driving current Ios0, that is, the oscillation activation time Ts=c0*(CL)2+d0*(CL)+e0 (Ios=Ios0) is obtained. (c0, d0, and e0 are determined). Based on these, the value of the load capacitance CL can be obtained from a quadratic equation of Ts0=C0*(CL)2+d0*(CL)+e0 to which the oscillation activation time Ts0 obtained from the relational equation between the oscillation activation time Ts and the oscillation margin M or a relational graph thereof is substituted.
In a case where Ios0≧Ios1 or Ios0≦Ios2, that is, an arbitrary driving current Ios0 is present at the outside of the driving current Ios1 or the driving current Ios2, poor accuracy is obtained from this method, but in a case where Ios1≧Ios≧Ios2, that is, the driving current Ios0 is present between the driving currents Ios1 and Ios2, good accuracy is obtained (this is because a simple proportion is used). Particularly, when the driving current Ios1 and the driving current Ios2 approach each other, an accurate value of the load capacitance CL can be obtained with respect to the oscillation activation time Ts0. Similarly to
That is, in means B of the invention, a relational equation between the oscillation activation time Ts and the load capacitance CL with a driving current value Ios used as a parameter is as follows.
Ts=0.0191(CL)2+0.0487(CL)+0.0623(when Ios=160 nA)
Ts=0.0424(CL)2−0.0030(CL)+0.1240(when Ios=95 nA)
Ts=0.0558(CL)2+0.0316(CL)+0.1141(when Ios=70 nA)
Therefore, when the driving current value of the oscillation circuit that is used is set to Ios0, in the case of Ios≧95 nA, the first and second equations are used, and in the case of Ios≦95 nA, the second and third equations are used, and through a simple proportion, a relational equation at the driving current value of Ios=Ios0, that is, Ts=α(CL)2β(CL)+γ (when Ios=Ios0) is obtained (that is, α, β, and γ are determined), and as a result thereof, the load capacitance CL is determined in means C of the invention.
As described above, in the invention, the oscillation activation time Ts0 corresponding to the oscillation margin M0 is obtained from a relational curve (equation) between the oscillation margin M and the oscillation activation time Ts or a relational graph thereof. In addition, Ts0 is substituted in a quadratic curve of Ts=α(CL)2+β(CL)+γ, which is obtained from the relational curve (equation) between the oscillation activation time Ts and the load capacitance CL and as a result thereof, it is possible to determine the value of the load capacitance CL.
The crystal oscillation circuit determined by the above-described method of determining the value of a load capacitance CL of the invention may be mounted and applied to a crystal oscillator or an electronic apparatus. For example, a battery driven-type electronic apparatus such as a timepiece, a cellular phone, a portable terminal, and a notebook PC may be exemplified. In addition, the oscillation circuit may be applied to various kinds of electronic apparatuses such as in-vehicle electronic apparatuses and household electrical appliances including a television, a refrigerator, an air conditioner, or the like, in which saving of energy or saving of power is required.
The present invention may be used for an oscillation circuit using a crystal vibrator. Particularly, the invention is effective for designing low power-consumption oscillation circuit. In addition, the present invention may be used for a crystal oscillator, an electronic apparatus, or the like, in which the oscillation circuit using the crystal vibrator is mounted.
Number | Date | Country | Kind |
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2011-015446 | Jan 2011 | JP | national |