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Filters
 Function: to retain components in a given range of frequencies and discard the
components in another range
 Twoport networks
Transfer Function
 The ratio of the phasor output voltage to the phasor input voltage as a function of
frequency

H(f) =
V
out
/
V
in
 The transfer function magnitude is the ratio of the output amplitude to the input
amplitude
 Shows how the amplitude of each frequency component is affected by the filter
 The phase of the transfer function is the output phase minus the input phase
 Shows how the phase of each frequency component is affected by the filter
Input Signals with Multiple Components
 How to determine the output of a filter for an input with multiple components
1. Determine the frequency and phasor representations for each input component
2. Determine the (complex) value of the transfer function for each component
3. Obtain the phasor for each output component by multiplying the phasor for
each input component by the corresponding transferfunction value
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 Spring '08
 BEST
 Frequency, Volt

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