Environmental Engineering Reference
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where
and
are the phasors of
at frequencies
and
respectively.
4.2 The Second-Order Volterra Circuit
The input of
contains frequency components
and
Conse-
quently, the output of consists of frequency components
and Further analysis
shows that the input of at and do not con-
tribute to the third-order inter-modulation. As a result, the output of
at these frequencies is not required. The output of at other fre-
quencies, however, must be computed. They are computed in a similar
manner as that of harmonic distortion.
4.3 The Third-Order Volterra Circuit
The input of consists of the components and
It can be shown that among the frequency components of
only those at the frequencies and
contribute to the third-order inter-modulation whereas those at the fre-
quencies
and
contribute to the fundamentals at
and
respectively.
therefore needs to be solved with
the input at the frequencies
and
and outputs at the frequencies
and
respectively.
the input at the frequencies
and
and output at the
frequencies
and
respectively.
Note that the amplitude of the inputs at these frequencies must be cal-
culated prior to solving
Similarly, among the frequency components
of
only
the input at the frequencies and are
of concern as they contribute to the third-order inter-modulation.
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