Environmental Engineering Reference
In-Depth Information
Chapter 6
SAMPLED-DATA SIMULATION OF
PERIODICALLY SWITCHED
LINEAR CIRCUITS
This chapter introduces an efficient and accurate numerical integra-
tion algorithm called sampled-data simulation for the time domain anal-
ysis of periodically switched linear circuits. Section 1 develops this al-
gorithm using Laplace transform and its inverse. Section 2 is concerned
with inconsistent initial conditions encountered in periodically switched
linear circuits and the algorithms that yield consistent initial conditions
of these circuits. Section 3 analyzes the sensitivity of the response of pe-
riodically switched linear circuits. The inconsistent initial conditions of
sensitivity networks are addressed in Section 4. In section 5, a computa-
tionally efficient statistical analysis method for computing the mean and
variance of the response of periodically switched linear circuits is pre-
sented. Section 6 addresses the noise analysis of periodically switched
linear circuits in the time domain. We show that by modeling white
noise using random pulses with the pulse width set by the noise band-
width of the circuit to be analyzed and the amplitude set by the output
noise power of the circuits due to the noise sources, the time domain re-
sponse of periodically switched linear circuits to both signals and noise
sources can be computed efficiently using sampled-data simulation. Sec-
tion 7 analyzes the effect of clock jitter on the response of periodically
switched linear circuits. By assuming that clock jitter is much smaller
than clock period, the response of periodically switched linear circuits in
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