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C C 4b A: Example 16-2. Second-Order Unity-Gain Tschebyscheff Low-Pass Filter

The document describes designing a second-order unity-gain Tschebyscheff low-pass filter with a corner frequency of 3 kHz and 3-dB passband ripple. It provides the component values calculated for the filter circuit including resistor and capacitor values and the final circuit diagram.

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111 views1 page

C C 4b A: Example 16-2. Second-Order Unity-Gain Tschebyscheff Low-Pass Filter

The document describes designing a second-order unity-gain Tschebyscheff low-pass filter with a corner frequency of 3 kHz and 3-dB passband ripple. It provides the component values calculated for the filter circuit including resistor and capacitor values and the final circuit diagram.

Uploaded by

lecuellarq85gmailcom
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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In order to obtain real values under the square root, C2 must satisfy the following condi-

tion:

4b 1
C2 w C1
a12

Example 162. Second-Order Unity-Gain Tschebyscheff Low-Pass Filter


The task is to design a second-order unity-gain Tschebyscheff low-pass filter with a corner
frequency of fC = 3 kHz and a 3-dB passband ripple.

From Table 169 (the Tschebyscheff coefficients for 3-dB ripple), obtain the coefficients
a1 and b1 for a second-order filter with a1 = 1.0650 and b1 = 1.9305.

Specifying C1 as 22 nF yields in a C2 of:

4b 1
C2 w C1 + 2210 *9nF 4 1.9305 ^ 150 nF
a12 1.065 2

Inserting a1 and b1 into the resistor equation for R1,2 results in:

1.06515010 *9 * 1.06515010 *9
2
* 41.93052210 *915010 *9
R1 + + 1.26 kW
4p310 32210 *915010 *9

and

1.06515010 *9 ) 1.06515010 *9
2
* 41.93052210 *915010 *9
R2 + + 1.30 kW
4p310 32210 *915010 *9

with the final circuit shown in Figure 1617.


150n

1.26k 1.30k
VIN
VOUT
22n

Figure 1617. Second-Order Unity-Gain Tschebyscheff Low-Pass with 3-dB Ripple

A special case of the general Sallen-Key topology is the application of equal resistor val-
ues and equal capacitor values: R1 = R2 = R and C1 = C2 = C.

16-16

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