Environmental Engineering Reference
In-Depth Information
systems to both single-tone and dual-tone inputs. In Appendix 3.A of
this chapter, we have shown that
of nonlinear periodi-
cally time-varying systems is periodic in
with the period equal to the
switching period
They can be represented in Fourier series
where
If the input is given by
we obtain
Consequently
In the base band where the fundamental component of the
response is given by whereas the second-, third-, ..., and
harmonic components are given by and respectively.
The similar pattern repeats in side bands where To obtain the
harmonic components of the response of nonlinear time-varying systems
to a sinusoidal input
because
we have
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