Environmental Engineering Reference
In-Depth Information
Similarly, since
we have
where denotes the aliasing transfer function from the
current input at frequency to the current output at frequency
Using the time reversal characteristic of
we can further simplify
(10.45) as
Summing up (10.47) and (10.44) and making use of (10.41) yield
Consequently
Eq.(10.49) reveals that the magnitude of the aliasing transfer function
of
N
from the input at frequency to the output at frequency
is equal to that of from the input at frequency to the output at
frequency Similar results were also obtained for circuits with
other input/output configurations and are tabulated in Table 10.2.
T
HEOREM
10.3 (F
REQUENCY
R
EVERSAL
T
HEOREM
)
The magnitude of
the aliasing transfer functions from multiple inputs at frequency
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