Chebyshev Filter Transfer Function?

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MarkSitkowski

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(I think this is third order, but some people call it fifth order)
Does anyone know the s-domain transfer function of a Chebyshev filter, constructed like:
Code: 
-------RS-------L1------x-------L2-------x-------L3--------x
                        |                |                 |
                       C1               C2                 RL
                        |                |                 |
------------------------x----------------x-----------------x
Sorry, this won't format, it compresses spaces. The two capacitors and load resistor go between the top 'x' and the bottom 'x'.
Maybe the image will display better
 

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Hi,

Sorry, this won't format, it compresses spaces. The two capacitors and load resistor go between the top 'x' and the bottom 'x'.
Click to expand...
This is why the forum software offers some formatting features.
Read the forum help how to use it. The "preview" is helpful, too.
Or you may use free schematic tools and upload the schematic as picture / screenshot.
PNG format often is useful for screenshots.

Klaus
 

Chebyshev is a characteristic not a filter architecture. The L and C values determine the type of characteristic, like Chebyshev or Butterworth or Bessel. For any characteristic you can use the same architecture with the same transfer function, but with other element values.
Some people call it 5th order is correct because it contains 5 energy storing device.
I don't know the transfer function, it has to be a 5th order polynom in the denominator, a constant in the numerator. If you have TINA draw the circuit in it and do symbolic analysis if you want to see the transfer function of the circuit.
 

Yes - it is a 5th-order lowpass.
The corresponding transfer function can be found in many textbooks (or other online-contributions).
You also can use a symbolic simulation package like "sapwin" (can be downloaded for free).
 

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