
Time
Domain
General
Theory
Time
Domain
General
Theory
In
Frequency
Domain
measurements,
a
device's
response
to
RF
energy
at
CW
or
sweeping
frequencies
is
measured.
A
Time
Domain
measurement
determines
a
devices
response
to
a
specic
waveform,
as
a
function
of
time
.
An
example
is
when
bouncing
an
RF
radar
pulse
o
an
object
and
measuring
the
return
RCS
signal.
With
\direct
measurement"
systems
(such
as
time
domain
reectometers),
Time
Domain
measurements
are
made
by
sending
a
known
waveform
pulse
(or
impulse)
out
to
the
device
under
test
(DUT),
and
measuring
the
waveform
returned
as
a
function
of
time
.
The
HP
8530A
does
not
measure
time
domain
directly
,
since
it
is
a
frequency
measuring
device
.
However
,
any
waveform
can
be
mathematically
formed
by
adding
many
frequencies
together
.
Therefore
,
the
receiver
can
measure
DUT
performance
at
various
frequencies
and
then
mathematically
calculate
its
Time
Domain
response
.
In
most
ways
,
the
mathematical
model
is
actually
superior
to
systems
that
measure
Time
Domain
directly
.
Noise
performance
is
usually
much
better
,
and
the
time
axis
is
very
stable
and
accurate
.
The
calibration
feature
of
the
HP
8530A
also
improves
measurement
performance
,
which
is
not
possible
in
direct
measurement
systems
.
The
relationship
between
the
Frequency
Domain
measurement
and
the
Time
Domain
response
is
described
by
the
F
ourier
Transform:
Frequency
Domain
!
Time
Domain
H(f)
0
!
h(t)
It
is
therefore
possible
to
measure
the
response
of
an
antenna
or
an
RCS
target
in
the
Frequency
Domain
and
then
mathematically
calculate
the
inverse
F
ourier
Transform
of
the
data
to
give
the
Time
Domain
response
.
The
receiver
does
this
calculation
using
Chirp-Z
F
ast
F
ourier
Transform
(FFT)
computation
techniques
.
As
explained
later
in
this
chapter
,
the
Chirp-Z
FFT
has
advantages
over
standard
FFT
techniques
.
13-2
Introduction
to
Time
Domain
RCS
and
Antenna
Measurements
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