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CSTLS4M19G56-B0 Datasheet(PDF) 13 Page - Murata Manufacturing Co., Ltd.

Part # CSTLS4M19G56-B0
Description  Ceramic Resonator
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Manufacturer  MURATA [Murata Manufacturing Co., Ltd.]
Direct Link  http://www.murata.com
Logo MURATA - Murata Manufacturing Co., Ltd.

CSTLS4M19G56-B0 Datasheet(HTML) 13 Page - Murata Manufacturing Co., Ltd.

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11
Note • Please read rating and CAUTION (for storage, operating, rating, soldering, mounting and handling) in this catalog to prevent smoking and/or burning, etc.
• This catalog has only typical specifications because there is no space for detailed specifications. Therefore, please review our product specifications or consult the approval sheet for product specifications before ordering.
2
Principles of CERALOCK®
2
(Note 3)
Fig.Ⅲ shows the equivalent circuit of an emitter
grounding type transistor circuit. In the figure, Ri
stands for input impedance, R0 stands for output
impedance and ß stands for current amplification
rate.
When the oscillation circuit in Fig.2-6 is expressed
by using the equivalent circuit in Fig.Ⅲ, it becomes
like Fig.Ⅳ. Z1, Z2 and Z are as shown in the table
for each Hartley type and Colpitts type circuit.
The following 3 formulas are obtained based on
Fig.Ⅳ.
As i1 ≠ 0, i2 ≠ 0, i3 ≠ 0 are required for continuous
oscillation, the following conditional formula can be
performed by solving the formulas of (1), (2) and (3)
on the current.
βR0Z1Z2=(Z1+Ri)Z2
2–{Z1(Z2+Z)+
R0Z1Z2=(Z2+Z+Z1)Ri}(Z2+R0)    ………… (4)
Then, as Z1, Z2 and Z are all imaginary numbers,
the following conditional formula is obtained by
dividing the formula (4) into the real number part
and the imaginary number part.
(Imaginary number part)
Z1Z2Z+(Z1+Z2+Z)RiR0=0    ………… (5)
(Real number part)
βR0Z1Z2+Z1(Z+Z2)R0+
Z2(Z+Z1)Ri=0     ………………… (6)
Formula (5) represents the phase condition and
formula (6) represents the power condition.
Oscillation frequency can be obtained by applying
the elements shown in the aforementioned table to
Z1,Z2 and Z solving it for angular frequency ω.
                ………… (7)
                ………… (8)
In either circuit, the term in brackets will be 1 as
long as Ri and R0 is large enough. Therefore
oscillation frequency can be obtained by the
following formula.
                  …… (9)
                  … (10)
Fig.
R0
-
+
1
R0 1
R
Fig.Hartley/Colpitts Type LC Oscillation Circuits
Notes
1
23
1
R0
R
-
+
R0 1
Z
Z2
Z1
Hartley Type
Z1
Z2
Z
jωL1
jωL2
1 / jωC
Colpitts Type
1 / jωCL1
1 / jωCL2
jωL
(Hartley Type)
1
(L1L2) C{1+
}
L1 · L2
(L1 + L2) CR R0
(Colpitts Type)
· {
1+
1
L CL1·CL2
CL1+CL2
}
L
(CL1+CL2) R R0
fosc. =
(Hartley Type)
1
fosc. =
(Colpitts Type)
1
CL1·CL2
CL1+CL2
βR0i1+(R0+Z2) i2–Z2i3=0 …………………… (1)
Z1i1+Z2i2–(Z2+Z+Z1) i3=0 ……………………(2)
(Z1+Ri) i1–Z1i3=0
…………………………… (3)
P17E.pdf
2012.10.31


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