Environmental Engineering Reference
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where
and are the response of the periodically switched linear cir-
cuits characterized by (12.23) and (12.24), respectively. Note
and
are vectors whose dimensions are the same as
The
elements of
are the products of the corresponding elements of
and
whereas those of
are the cube of the correspond-
ing elements of
Fourier transform of (12.22)-(12.24) gives
Eqs.(12.26)-(12.28) reveal that :
The behavior of a periodically switched nonlinear circuit can be char-
acterized by a set of intrinsically related periodically switched linear
circuits. The circuits characterized by (12.26)-(12.28) are termed re-
spectively as the first-, second-, and third-order Volterra circuits of
the periodically switched nonlinear circuit. They are denoted by
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