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AN2451 Datasheet(PDF) 23 Page - STMicroelectronics

No. de pieza AN2451
Descripción Electrónicos  ST7540 FSK powerline transceiver
PDF  55 Pages
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Fabricante Electrónico  STMICROELECTRONICS [STMicroelectronics]
Página de inicio  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN2451 Datasheet(HTML) 23 Page - STMicroelectronics

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AN2451
Board description
Doc ID 12791 Rev 3
23/55
Equation 5
The simplification made on fc formula is possible because R17>RL. Consequently, the
quality factor and filter selectivity depend not only on R17, but also on RL. A higher RL
produces a lower steepness of the resonance, while a higher R17 gives a higher selectivity.
Actual values of the components give a Q equal to 4.3.
The RL value impacts in a clearer way on insertion losses. To evaluate the relationship
between RL and the losses on the received signal, the following simplified expression of
at f=fc may be used:
Equation 6
With actual values of the components, we get a loss of about 1 dB. The same calculation
gives unitary transfer if RL is set to zero.
Looking at the first way to express the module of the transfer function, it is possible to notice
that a higher value of Q can help keeping the losses small. Nevertheless, a high value of Q
would bring a higher sensitivity of the filter to the components tolerance.
Figure 14 shows the measured frequency response of the Rx passive filter. The filter has an
actual -3 dB bandwidth equal to 17 kHz and an attenuation of about 1 dB at center
frequency, just as expected.
Figure 14.
Measured frequency response of the Rx passive filter (typical curve)
Figure 15 represents a simulation of the response of the Rx passive filter with the
components tolerance effect. A worst case loss of nearly 1.5 dB can be observed at 72 kHz
due to a shift on center frequency.
fc
1
2
π
------
ω
C
•
1
2
π
------
R
17
R
L
+
R
17L6C26
--------------------------
1
2
π L
6C26
--------------------------- Q
R
17L6C26
R
17RLC26
L
6
+
---------------------------------------
ω
C
•
=
,
≅
=
=
Rs
()
Rj
2
πf
c
•
()
Q
ω
C
L
6
•
R
17
-------------------
•
1
1R
L
R
17
•
C
26
L
6
---------
•
+
------------------------------------------------
=
≅



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