Environmental Engineering Reference
In-Depth Information
Chapter 11
FREQUENCY DOMAIN ANALYSIS OF
PERIODICALLY SWITCHED
LINEAR CIRCUITS
Frequency domain analysis is generally more efficient as compared
with time domain analysis, particularly for linear circuits. In this chap-
ter, we investigate the frequency analysis of periodically switched linear
circuits. In Section 1, an exact frequency analysis method for multi-
phase periodically switched linear circuits is presented. Sensitivity anal-
ysis of these circuits using direct sensitivity analysis, adjoint network,
and sensitivity network is investigated in detail in Section 2. Group
delay of periodically switched linear circuits is studied in Section 3. In
Section 4, noise sources encountered in periodically switched linear cir-
cuits and their characterization in the frequency domain are investigated.
The noise equivalent circuits of semiconductor devices typically encoun-
tered in periodically switched linear circuits are presented. The behavior
of linear periodically time-varying systems in the presence of noise in-
puts is studied in detail and the average power of the response of linear
periodically time-varying systems to stationary noise inputs is derived.
An adjoint network-based noise analysis algorithm is developed and its
effectiveness and efficiency are assessed using practical examples. Statis-
tical analysis of periodically switched linear circuits using the first-order
second-moment is presented in Section 5. The chapter is summarized in
Section 6.
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