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Power
meter measurements
Updated January
18, 2008
Click
here to go to our page
on compression point
Click here
to go to a page on linear interposlation for Excel (new for February
2008!)
The power meter is one of the
most useful pieces of test equipment in the microwave laboratory.
Learn it well and you will be able to characterize all manner of
nonlinear circuit power transfer characteristics, such as amplifiers,
mixers, limiters, etc. You can also measure insertion loss (or gain)
and return loss of microwave networks, similar to using a scalar
analyzer, but at a fraction of the equipment cost. You can find
used HP power meters and power sensors on E-bay for just a few hundred
bucks, thanks to the continuously tanking wireless industry.
In this chapter of Microwaves101
you will learn the most convenient and accurate way to measure defined
compression points (P1dB, P2dB, etc.) of devices such as amplifiers
and mixers, using a surprisingly simple technique. You will learn
how to measure and plot data such as:
1. Output power gain and efficiency
of an amplifier versus input power at fixed frequency
2. One dB compression of an amplifier versus frequency, at different
bias points
3. One dB compression of a mixer versus frequency, at different
LO powers.
By the way, we are discussing
CW or average power meter measurements here. We will
describe the use of peak power meters at a later time.
If you are interested in peak power measurements or any other topic,
please drop us a line!
Let's get started. Here is a
clickable index for this page:
Power meter
basics
Power heads
Power
handling of power heads
Calibrating
the power meter
Power meter
measurement errors
Errors
due to standing waves
Errors
due to power head non-linearity
Errors
due to finite coupler directivity
The "Best
Set-up" for measuring power transfer characteristics
Configuring
the power test bench for your DUT
Calibrating
the power test bench
Detailed
measurement procedure example
Finding
compression points painlessly
Plotting
power transfer characteristics
Measuring
return loss with power meters
Power meter
basics
Power meters today are almost
always digital. They convert an analog signal, referenced to fifty
ohms, to a four digit display of power in watts, milliwatts or microwatts,
or in decibel milliwatts (dBm). Nine out of ten microwave engineers
prefer decibels for power measurements, and you will too once you
understand how to think in dB.
By far the best power meter to
put into your microwave test setup is the Hewlett Packard 438A dual
power meter (or Agilent E4419B dual power meter for those of you
with a more modern lab, since the E4419B obsoleted the 438A power
meter).

The Hewlett Packard 438A
dual power meter allows you to make relative measurements between
two power heads (A with respect to B, or B with respect to A), without
the need for scrap paper or a calculator. This feature allows you
to automatically track the relationship between input and output
power of a device over a range of power levels and directly
read out the gain compression without plotting Pin/Pout.
Another feature of the HP438A
that is quite useful is its ability to take readings relative to
a reading on the same power head, that you store in memory.
This is done by pushing the "REL" (relative measurement)
button. Still another excellent feature is the ability to add offsets
to either of the power heads. This is very useful when you have
to remove losses outside your DUT from your measurements (which
is almost always).
Power heads
Power heads are the sensors that
convert RF and microwave signals to analog voltages, which are read
and reported by the power meter. There are three types of sensors
in use in power heads. The first two, thermistor and thermocouple
sensors, convert the "heat" of the incident signal to
a voltage proportional to power. Thermistor power heads are regarded
as "old-fashioned", if you see any of these in your lab
they are hooked to an old analog meter such as the HP 432A. The
third type is a diode detector, which rectifies the signal into
a DC voltage. Diode detectors provide a lower power range than thermistor
power heads (and a lower maximum safe power), so if you are using
a power head that measures down to -75 dBm, chances are you are
using a diode detector power head. Another hint that you are using
a diode detector is that HP (or Agilent) uses the suffix "D"
for diode, as in "8487D". The exception to this rule is
the now-obsolete 8484A diode detector power head.
If you want to learn more about
power heads, Agilent's web site has an excellent application
note on this topic and about a zillion others.
For power meter measurements,
you will need to choose one or more power heads. Agilent 8480 series
power heads that are commonly available are shown in the following
table (some of these may be obsolete by now). It is important to
stay within the "best" power response range of a power
head ("throw away the bottom ten dB and top five dB of its
range) . For example, if the power head is specified to for -75
to -20 dBm, don't try to use it below -65 dBm or you will experience
slow settling times and flaky results.

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Table
1. Examples of HP power head capabilities, 8480 series
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HP model
number
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Frequency
range
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Specified
power range (dBm)
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Best power
range (dBm)
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Maximum
input power (dBm)
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RF connector
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8481A
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10 MHz
to 18 GHz
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-35 to
+20
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-25 to
+15
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25
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N
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8481H
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10 MHz
to 18 GHz
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-15 to
+35
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-5 to
+25
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35
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N
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8482A
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100 KHz
to 4 GHz
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-35 to
+20
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-25 to
+15
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25
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N
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8484A
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10 MHz
to 18 GHz
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-75 to
-20
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-65 to
-25
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20
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N
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8485A
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50 MHz
to 26.5 GHz
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-30 to
+20
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-20 to
+15
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25
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3.5 mm
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8487D
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50 MHz
to
50 GHz
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-75 to
-20
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-65 to
-25
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20
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2.4 mm
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R8486A
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26.5 to
40 GHz
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-30 to
+20
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-20 to
+15
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25
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WR-28
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Power
handling of power heads
Never exceed the maximum power
rating of the power head(s) you are using. The cost to replace a
power head that has been blown up by exceeding its maximum power
is $1K to $3K, depending on which one you destroy. You can always
"increase" the power range of a power head by adding an
attenuator to its input, which you can remove mathematically. Be
sure that the attenuator you choose can handle the power as well.
Note that a "poor-man's power attenuator" can always be
constructed from a coupler and a high-power load. For example, a
10 dB coupler terminated with a 10 watt load makes a 10 dB/10 watt
attenuator measured through the coupled port.
Interpolating the cal factor
at frequencies between data points
Check out this
page!
Calibrating
the power meter
Before you start calibrating
the HP 438A power meter, hit the preset button to put the meter
into a known state. This eliminates all offsets and filtering and
other weird stuff from leftover from the last user that might mess
with your measurement and ruin your day. According to the HP manual,
the meter needs one hour to warm up to be at full accuracy. Have
another donut.
Calibrating a power meter is
a two step process. First, the meter should be zeroed. When you
zero a meter, be sure that it has no incident RF power by turning
off all sources on the bench. Both power heads should be zeroed
approximately every two hours to prevent drifting. Once in a while
the meter will politely ask you to "PLEASE ZERO", this
is normal. Again, just be sure that there are no stray signals at
the power head when you zero it.
The second part of calibrating
a power head is the "cal adjust". Here the power meter
applies a very stable 50 MHz, 1.000 mW signal to the power head
as a reference level and internally adjusts the gain of the meter
to match the particular power sensor's response. Start by screwing
the power head onto the reference oscillator output of the power
meter. Use the minimum possible number of adapters (and no cables)
between the power meter and the power head, but don't stress about
this, since most stuff contributes negligible loss at 50 MHz. For
the highest sensitivity power heads such as the 8484A and the 8487D,
you will need to insert the 11708A precision 30 dB/50 MHz attenuator
between the power head and the reference oscillator output to create
a stable 1.000 microwatt signal. Remember that the 11708A
attenuator is a calibration item and should NEVER
be used in a test setup. Next push the "CAL ADJ" button.
Then enter the 50 MHz calibration factor printed on the side of
the power head (usually 100%), push "ENTER" and the meter
will do its thing. If you want to check the results of the cal adjust
step (highly recommended for neophytes!), leave the power head connected
to the reference oscillator, input the calibration factor at 50
MHz and turn the oscillator back on. The meter should read 0.00
dBm or 1.000 mW. The cal adjust procedure should be performed to
both power heads of the dual power meter, no more than 4 hours prior
to measurement.

Finally, you need to enter the
calibration factor at the frequency of operation at which you will
be testing. This information is printed on the side of the power
head and is a number usually from 90% to 100%. If you use the wrong
cal factor by a few percent, the error is usually small. For example,
if you leave the cal factor on 100% after cal adjust but it should
be set to 98% for your measurements, your data will read 0.09 dB
too low (equal to 10xlog[.98]). If you want to be super accurate,
you can interpolate the cal factor when you are measuring frequencies
that fall between the calibration points, which are typically every
gigahertz.
One thing to consider when you
are taking power measurements over a wide frequency band... instead
of inputting the cal factor(s) each time you change frequencies,
you can leave the cal factor set at 100%, and make corrections to
the data later in a spreadsheet. You should be using a spreadsheet
to keep track of input and output network losses and other stuff,
not to mention plotting the data, so it is no big deal to enter
the cal factors here as well. Heck, you can even use it to do the
pesky linear interpolation between calibrated frequency points in
the spreadsheet! The way to correct data that was taken using 100%
CF is to divide the measured data (in watts, or milliwatts, or microwatts,
but not in dBm) by the proper cal factor at each frequency point.
Power meter
measurement errors
It is easy to take power data
with a power meter. It is not so easy to take accurate, repeatable
data, unless you understand all of the problems that can occur,
so listen up!
Errors due
to standing waves
A significant source of error
with power meter measurements is the standing wave ratio of the
power head beating against the DUT. The VSWR of the power head is
usually low (less than 1.18:1 to 12.4 GHz for the 8481A power head
for example). The bigger problem is usually your DUT. Suppose you
are testing an amplifier with 3.0:1 VSWR (r=0.5) with a power head
that has 1.18:1 (r=0.082). Because we don't have a handy Greek alphabet
on this web site, just pretend that the preceding "r"
was a "rho"... The high and low errors can calculated
as:

An eight percent error in power
is a sizable 0.36 dB error. You can avoid SWR errors if you use
attenuators on both sides of your DUT to pad down its VSWRs. Of
course, you will have to mathematically remove these losses from
your final data.
Errors
due to power head non-linearity
As mentioned before and described
in Table 1, it is important to operate power heads within their
best power range to reduce linearity errors. You can determine the
linearity error of your setup by making a "through" connection
in place of the DUT, displaying A/B power ratio set relative to
the lowest input power of your experiment. Then sweep the input
power up to the maximum power while observing the A/B reading. If
the setup is done correctly you should see no more than +/- 0.1
dB errors across a power range of 20 dB or more.
A note about the above linearity
test... for devices under test with substantial gain or loss, you
won't be making a apples/oranges comparison of the linearity of
the test setup with and without the DUT unless you put some further
thought into this. If you are characterizing an amplifier with 20
dB gain, you could test the amp with a 20 dB attenuator on its output.
Then the net gain, with and without the DUT will be
approximately the same (zero dB), so that you can use the same power
head over the same range of power. Or you could swap power heads
between the calibration and measurements steps. Don't lose sleep
over the "through" linearity verification, just be sure
to keep the power heads within their "happy range".
Errors
due to finite coupler directivity
Coming soon!
The "Best
Setup" for measuring power transfer characteristics
Figure 1 below shows a highly
useful Pin/Pout measurement setup, based on many years of experience
slaving away out in the lab. This test bench could be automated
using LabView if you are so inclined, but it works quite well for
taking data manually. The setup exploits the A/B relative power
measurement capability of the dual power meter to quickly find compression
points of your device under test (DUT) without even plotting any
data. The setup can be used to measure P1dB of two-port networks
(amplifier, limiter, multiplier) and as well as three-port networks
(frequency translators such as mixers).

Figure 1. Power
test bench in operation
Referring to the figure, you'll
need one RF signal source for amplifier measurements, and two for
mixer measurements. Beyond the need for a second source, there are
other key differences between measuring an amplifier and measuring
a mixer. For example, you will have to keep track of the losses
of the input and output networks as well as the power head cal factors
at the different input and output frequencies (RF and LO)
for mixer measurements.
Be sure that the sources you
use are able to handle the RF and LO frequencies that your DUT requires.
You should pick synthesized sweep oscillators over old-fashioned
sweepers, so that frequency errors are minimized. Although many
sources provide a built-in variable attenuator function that allows
you to control the RF power level, you should consider using an
external, infinitely-variable attenuator to control the signal level
as shown, since this way you can quickly adjust the signal to within
a few hundredths of a dB. We like to use waveguide rotary-vane attenuators
for this purpose.
Signal source 1 must provide
the power level needed to put the DUT well into compression, and
source 2 needs to provide the proper local oscillator power level
for mixer tests. For high power levels you can add power amplifiers
to either source, but you may have to consider the effects of power
amplifier broadband noise on the measurement, particularly if you
use a traveling-wave tube (TWT). Perhaps more importantly, you will
have to consider the effect of high-power signals on each and every
component in the setup so that you don't roast anything. Remember,
if you do barbeque a component, consider sending us a photo of the
remains for the Microwave
Mortuary!
Within the input network,the
coupler following source 1 samples the input signal to the DUT.
Attenuator A1 may be used to adjust the input power to power head
A to put it into its "best" range (10 dB to 30 dB less
than the maximum power). It also serves to reduce SWR errors on
the input side of the DUT. The
isolator that follows the input coupler helps reduce SWR errors
if your DUT has a poor input match. It also prevents directivity
errors, by keeping reflected power from the DUT from corrupting
the power meter reading at power head A. If you use a high-directivity
coupler in the input network this should take care of the problem
without the need of an isolator. Be sure the coupler and isolator
operate over the required bandwidth. To determine the measurement
uncertainty of the input network due to directivity, you can perform
the following check before you measure your DUT. Insert a matched
50 ohm load where the DUT would go and apply CW signal from source
1. Observe the power level of power head A. Now remove the matched
load and attach a short circuit (if a short is not available an
open circuit will be nearly as good). The maximum directivity error
of the input network will be the difference in the two power meter
readings. You should strive for less than 0.1 dB error here.
Cables A and B may not be necessary,
they are used for convenience as well as mechanical strain relief.
If you didn't use any cables at all, you could hang the coupler,
DUT and both power heads of the sweeper's RF output RF connector,
which might amount to 50 inch-pounds of lateral torque on the coax
connection to the source. We don't have to tell you why that would
be bad, do we?
In the output network, attenuator
A2 can be used to adjust the power into power head B to keep it
within the "sweet spot" during DUT measurements. For example,
if your DUT is known to provide 30 dBm saturated output power, you
might want a 20 dB attenuator on the output. Filter FL1 is extremely
important for mixer measurements, it is there to reject RF and LO
leakage that would corrupt the power head B reading. You need to
find a filter that will pass the IF frequency and reject the RF
and LO frequencies (by 30, 40, or 50 dB or more!) Don't have such
a filter laying around the lab? Build one!
Configuring
the power test bench for your DUT
Before you measure the power
transfer characteristics (input versus output power) of a nonlinear
microwave device, you should have an idea what to expect. Check
out our page on nonlinear devices.
How do you know what power heads,
couplers, and attenuators to use? The first step is to get to know
what you are measuring, and what power heads you have available
for the measurement. Go to the manufacturer's web sites, read the
data sheets, heck, print them out. The two most important parameters
for your DUT are gain (or loss), and maximum output power. Also,
decide what frequency band you're interested in. Check out your
cables, adapters, power heads, couplers, attenuators, and make sure
that everything works well within your frequency band. Not sure
about where your connectors crap out? Visit our page on microwave
connectors!
The next two paragraphs need
some further discussion, check back soon!
Let's start with the output network.
What is the maximum output power of your DUT? You need to arrange
the output network so that this power is about 10 dB below the specified
range of your power head B. Suppose you are testing a two watt amplifier,
and you have a 8481A power head (20 dBm is its highest specified
power). You should choose a 2 watt, 20 dB attenuator for the output
network. Then the highest power your power head will see is 13 dBm.
The amplifier you want to measure
has 30 dB gain. At the saturated output power, you might expect
it to have 27 dB gain. Therefore, you will need to drive it with
at least 6 dBm power. Suppose that your sweeper that you will use
for source 1 puts out 10 dBm. That means your input network, including
cables, must have less than 4 dB loss. That should be no problem.
Also, suppose that all you have for an input coupler is a 10 dB
coupler. This means that when you drive the DUT with 6 dBm power,
the coupled port on the coupler will see approximately -4 dBm. A
good choice for the input power head would be a 8484A low-power
unit (-20 dBm highest specified power). You should add a 20 dB pad
to the coupled port (attenuator A1) to drop the power to the power
head to -24 dBm maximum.
Before you continue, consider
what the worst case power your power heads will see to make sure
they are safe from being blown up. At the output, if you measure
an extremely out of spec power amp that saturated at 4 watts instead
of 2 watts, your power head will still only see 16 dBm. The 8481
is OK up to 25 dBm, so you are safe there. On the input, if the
sweeper was cranked to its highest output power of 10 dBm, and your
input network had zero loss, the 8484A power head would still only
see -20 dBm through the 20 dB coupler. It takes +20 dBm to damage
it. One final check... be sure that your DUT does not put any DC
voltage on the input or output connections. If it does you should
add a DC block at the offending port. Now you are good to go!
Calibrating
the power test bench
The setup must first be calibrated,
meaning that you must determine the input coupling coefficient (we'll
call it C1 here) as well as the output network loss coefficient
(we'll call that C2). C1 is the difference between the input power
at the DUT and the power displayed on power meter A. C1 is found
by hooking up the setup as shown below in Figure 2, with power head
B connected directly to the output of the input network (where your
DUT will go). You will find C1 by displaying A/B for this reading.
Take this data somewhere in the middle of the power range that you
want to explore.

Figure 2. Power
test bench, input network calibration
Guess what? Only power head B
needs to "speak the truth" in this measurement setup,
both during the calibration and during the measurements. By this
we mean that you can leave the calibration factor on power head
A at 100% at all frequencies, as long as you always observe the
proper cal factor on power head B during the calibration and measurement
procedures at each frequency point. This is because everything that
power head A measures will be relative to a measurement of power
head B.
C1 should be entered as an offset
to power head C1 so that the power meter will automatically display
the input power to your DUT. (If you want to make this correction
later in your notebook or spreadsheet, that's OK, but why not take
advantage of this feature?) For example, if the coupled power is
-21.3 dB less than the DUT input power, C1 is -21.3 dB, and the
offset you enter for power head A is +21.3 dB. You will need to
measure a coupling factor C1 at each frequency that you want to
measure (and change the offset during measurements at each frequency),
although over a narrow bandwidth you may not notice a big difference
in C1 over frequency.
Next you need to determine the
output network loss coefficient C2. For non-mixer measurements,
C2 can be measured by hooking up the setup completely, but without
the DUT, as shown in the figure below. The difference between the
measured power at power head B and the input power measured at power
head A (with its coupling factor C1 entered as an offset) will be
the output loss C2.

Figure 3. Power
test bench, output network calibration
For mixer measurements, you are
better off measuring the output loss (coefficient C2) using a network
analyzer. This is mainly because the input coupler will have a completely
different response at the IF frequency than it did when you measured
the coupling coefficient C1.
Detailed
measurement procedure example
The following measurement procedure
is used for measuring a two-port device such as an amplifier. Ryan,
thanks for helping us check this! Although it is not explicitly
stated, it is good practice to turn off the RF power when making
changes to the setup, then turn it on when you need to make a measurement.
- Make sure that the power
meter has warmed up for one hour with the power heads connected.
Have another donut while you wait.
- Hit the preset button, this
eliminates all of the offsets and cal factors stored by the last
guy who used the power meter.
- Select dBm for your data,
not watts (dBm is preferred by 9 out of 10 microwave engineers!)
- Turn off all RF source power
and high power amplifiers on your bench and zero the power heads.
The power meter should eventually read "LOG ERROR" for
both power heads.
- Calibrate both power heads
using the power meter's built-in 50 MHz reference oscillator.
Attach power head A to the reference oscillator output (the type
N jack on the face of the power meter), select power head A to
display (hit the "A" button). Now hit "CAL ADJ",
and input the cal reference setting for power head A (typically
100%). Note: for low power heads, you will need to use the
Agilent 11708A precision 30 dB/50 MHz attenuator.
- Check the cal adjustment of
power head A by turning the 50 MHz oscillator on, with the cal
factor set to the cal reference setting (typically 100%). You
should read 0.00 dBm for all power heads except the ones that
require the 30 dB reference attenuator. These power heads should
read -30.00 dBm.
- Repeat Steps 5 and 6 for power
head B. Turn off the reference oscillator.
- Enter the cal factor for power
head B (output power) for the first frequency you will be measuring.
Note: leave the cal factor for power head A at 100% from start
to finish of this procedure.
- Now it's time to determine
input coupling coefficient C1. Attach the power heads to their
proper locations in the test setup for calibrating the input network
(see Figure 2). Turn on the RF power and set it at the midrange
of where you plan to sweep. Display A/B on the meter. This is
the input coupling coefficient at your first frequency. Write
it down.
- Determine if you have enough
power range from your setup While observing power meter B
(at this step it reads the input power to your DUT), vary the
RF power using the sweeper's built-in attenuator and/or the external
variable attenuator (if you have one). Observe that you can reach
the minimum and maximum input power that your measurement requires.
- You can now measure your
worst-case directivity error. Display power meter A, then
hit "REL" to reference the meter to the current power
level (meter should read 0.00 dB). Then briefly remove power head
B and replace it with a short circuit. If you have excellent directivity,
the power meter reading should only change by perhaps 0.1 dB.
Write it down. Put power head B back and continue.
- Repeat steps 8, 9 and 10 for
each frequency you will be measuring, and create a table for the
input coupling coefficient C1 over the frequency range. You can
skip the directivity error measurement (step 11) on the additional
frequencies if you are confident that your setup has good directivity
at each frequency. Don't forget to change the power head B cal
factor when you change frequencies.
- Now it's time to measure
the output loss coefficient C2. Note: in the case that
your output network has no appreciable loss, you can skip this
step. Connect up the test bench without the DUT, as shown
in Figure 3. For the first frequency, enter the input network
coefficient C1 as an offset to power head A, and be sure to set
the proper calibration factor for power head B. Turn on the RF
and set it near your midrange power level. Due to the C1 offset,
power head A is now reading your DUT input power directly. Display
A/B on the power meter; this is equal to your output network loss
coefficient C2. Write it down.
- Repeat step 13 for each frequency
that you will be measuring, and create a table for C2 over the
frequency range.
- Now it's time to measure
the power transfer characteristics of your DUT. For each frequency,
enter the proper cal factor for power head B, enter the input
coupling coefficient C1 as an offset to power head A, and enter
the output loss coefficient C2 as an offset to power head B. Install
the DUT and bias it to the target quiescent point. Turn on the
RF, and set it to the lowest power setting you want to take data
at. You are now good to go!
- You now have your choice of
displaying input power (power meter A), output power (power meter
B) or gain (A/B). You only need to write down two of these, we
like to record input power and gain. Using
steps of approximately 1 or 2 dB, measure the input power, gain
and drain current IDS for the amplifier. Start at 20 dB below
the P1dB point on the data sheet and continue until the amplifier
output is saturated (one dB change in Pin results in less than
0.1 dB change in Pout).
- Using Excel, enter the data
and plot output power, gain and power-added efficiency versus
input power (see below).
Finding
compression points quickly
If all you are interested in
is finding gain compression points such as the one-dB compression
point (P1dB) of your DUT, you can do this quickly and directly.
Following step 15 above, set the meter to display gain of the DUT
(A/B). Now hit the "REL" button to reference the gain
to the current reading. It should now read 0.00 dB. Now all you
have to do is decrease the attenuation (increasing the input power)
until the meter reads -1.00 dB, and voila, you are at the P1dB point!
Display the P1dB(in) by selecting power meter A, or P1dB (output)
by selecting power meter B.
Plotting
power transfer characteristics
Go to our separate page on compression
point.
Plotting
amplifier efficiency
When you measure the power transfer
characteristics of an amplifier, you can calculate efficiency (PAE
or drain) at the same time if you record the DC input power (voltages
and currents).
More coming soon!
Measuring
return loss with power meters
Coming soon!
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