Digital Signal Processing Reference
In-Depth Information
1.000
0.800
0.600
0.400
0.200
0.000
0.200
−
−
0.400
27.4
27.45
27.5
27.55
27.6
27.65
27.7
27.75
27.8
Time (ns)
(d)
0.006
0.005
0.004
0.003
0.002
0.001
0.000
27.4
27.45
27.5
27.55
27.6
27.65
27.7
27.75
27.8
Time (ns)
(e)
Figure 12-8
(
Continued
)
The second feature that we note is the oscillatory nature of the impulse
response for the ideal interconnect. This is due to the fact that the ideal intercon-
nect essentially behaves like an ideal rectangular filter with a minimum frequency
at zero and a maximum frequency
f
max
. The impulse response of an ideal rect-
angular filter is given by the sinc function [Sklar, 2001], which is shown below
and in Figure 12-9.
2
f
max
sin[2
πf (t
−
t
0
)
]
2
πf (t
−
t
0
)
h(t)
=
=
2
f
max
sinc 2
πf (t
−
t
0
)
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