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Discrete Time Analysis > Linear Electrical Discrete Time Simulation with Convolution > Step 3: Computing the total (signal plus noise) discrete time output voltages of an electrical sub-design
Step 3: Computing the total (signal plus noise)
discrete time output voltages of an electrical sub-design
After extracting the discrete time impulse and noise
responses, the total discrete time complex voltage envelope at the jth
output port is computed using the convolution integral (in discrete
form):
where:
n =
0,1,2,…
ts = Simulation time step
of the input signals.
WNj = Unity-variance discrete
white Gaussian noise generated for the jth external port using a random
seed. This noise is generated independently of other external ports.
Note
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Setting the parameter
fs
and the control parameter MIN_BW
for discrete time analysis is critical for meaningful discrete time
simulations of mixed mode systems. This will be discussed in more detail
later (see Setting
Discrete Time Simulation Control Parameters - Convolution).
|
Note
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The inputs to
a linear electrical sub-design may have different carrier frequencies
as long as the maximum frequency carrier separation does not exceed
half the sampling frequency of the input signals.
|
Note
|
Different inputs
to a linear electrical sub-design are not allowed to have different
sampling frequencies (i.e., different simulation time step). If the
simulator detects this problem, an error message will be displayed during
analysis.
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