General Case
The transfer function of any filter connected as shown in the diagram above is given by the expression
where
Note that Vi is the nominal voltage that would be delivered by the generator if it were terminated in its characteristic impedance (i.e. R1), not the actual voltage appearing at the input terminals of the filter.
It can further be noted that the first part of the expression,
- ,
is the same as the expression for the transfer function without taking into account the end terminations. The second part of the expression is thus that part of the response caused by the mismatched impedances;
Read more about this topic: Image Filter End Terminations
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