Environmental Engineering Reference
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and
The response contains a Dirac impulse at We have
and The step size and { N, M } = {2, 4}
are used to compute the consistent initial condition. In the forward step,
the transfer function is given by
In the backward step, the time origin is reset to
The Dirac impulse in the input has died out in the forward step and the
input of the circuit in the backward step becomes Also,
the capacitor at the onset of the backward step carries the initial voltage
calculated
from
The
expression of the output voltage in the backward step
is given by
It is evident that
With the step size
we arrive
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