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Bandwidth is one of the key banner specifications
of oscilloscope probes.

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Understanding just a few concepts
can keep you from making common mistakes

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that can cause inaccurate
measurements and errors.

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Hi, everyone! I'm Erin, and welcome
to the new series Probing Pitfalls.

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In this series, you'll learn all about common
probing pitfalls and how to avoid them.

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This will give you the confidence
that the signal you see on the scope screen

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is the best representation of what's coming
out of your device under test, or your DUT.

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In this episode, you'll learn
about critical bandwidth pitfalls,

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like not knowing
about the 3 dB point,

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forgetting to consider bandwidth
with respect to rise time,

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not understanding harmonics,
or not calculating the entire system bandwidth.

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Many engineers believe using a 100 MHz probe
to analyze a 100 MHz signal is the perfect setup,

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but there are a few things
they don't realize.

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The first is the 3 dB point.

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The easiest way to understand probe bandwidth
is by learning this theory.

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The bandwidth is defined by the point
at which the frequency components

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passing through the probe
are attenuated or decreased by 3 dB.

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In other words, the amplitude of your signal
is reduced by 70.7% of what it should be.

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As an example, let's say
we're working with a 20 MHz probe.

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To start out, I'm measuring a 1 MHz signal
with 1 V peak-to-peak

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that's coming from
my waveform generator.

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The peak-to-peak measurement you see
on-screen is accurate at 1 V peak-to-peak

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because we're using a probe
that has plenty of bandwidth for the signal.

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However, if I increase the frequency
of the signal to 20 MHz,

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you can see we hit
the 3 dB point of the probe

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which means we'll see a measurement error
of -3 dB or -.3 V peak-to-peak.

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You can see in our peak-to-peak
measurement here,

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our 1 V peak-to-peak is now reading off
at .7 V peak-to-peak.

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You can fix this pitfall by calculating
the correct bandwidth for your desired frequency.

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A common rule of thumb is your probe bandwidth
should be at least three times the size

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of the sine wave
you wish to measure.

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As a result, to measure this 20 MHz sine wave,
we would want to probe with at least 60 MHz.

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Now, remember, this only works
for perfect sine waves,

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but most analog measurements
aren't perfect sine waves.

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If this is the case, the rise time theory
is critical in determining

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the necessary probe bandwidth.

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To truly calculate
the best probe bandwidth needed,

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you need to know the rise time
of your signal.

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The rise time is the time it takes for your signal
to get from the 10% level

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to the 90% level
of a rising edge.

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This formula states that the bandwidth of a signal
equals .34 divided by the rise time

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for a signal with Gaussian response,

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and, again, this is when evaluating
rising edges from 10% to 90%.

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Many times, the rise time
specification is listed

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along with the other bandwidth
specs of your design.

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As an example, think about a clock signal
with a frequency of 500 MHz.

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You may think, "All right, I just need
a 1.5 GHz probe to measure that signal,

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according to what Erin said a minute ago,"
but your rise time could change everything.

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If your rise time for the 500 MHz clock signal
is something like 350 ps,

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the calculated bandwidth of that signal
based on the formula is actually equal to 1 GHz.

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This means that the real bandwidth
of your signal is 1 GHz, not 500 MHz.

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500 MHz is your clock frequency
for an entire cycle,

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but your clock's rising edge
is much faster at 1 GHz.

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This would mean that you would actually need
a 3 GHz probe to measure that signal accurately.

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Avoid the pitfall of not having
enough bandwidth

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by remembering to check
your rise time specification.

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Another way to visualize
the effects of bandwidth

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is by looking at
the different harmonics of a signal.

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The yellow trace here shows the original signal
and is made from the fundamental harmonics.

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The first harmonic can be seen
as this green trace.

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You can see it has the same period
and duty cycle as the original signal,

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but the rising edges are slower
and the corners are more rounded.

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The first and third harmonic
are combined in the purple signal

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and have a faster rising edge,
and the corners are even more crisp,

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but the first, third, and fifth harmonic
are combined in the pink trace

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and have faster edges,
crisper corners, and even more detail

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on the top and bottom
of the waveform.

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The higher the probe bandwidth,
the more detailed your waveform is going to become

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because the more harmonics
can be captured.

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Now, let's take a look at
this harmonic knowledge a little bit further

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by looking at
a 20 MHz clock wave.

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Here you can see the result of measuring
a 20 MHz clock with a 20 MHz probe.

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Basically, we can't capture enough
of the harmonics of the 20 MHz signal

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because we don't have enough probe bandwidth,
and the result is going to look like a sine wave.

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Any measurements made on that signal
will be inaccurate.

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If we measure the same signal
using a 200 MHz probe,

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the result is a clean square wave
that you can see here

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because the critical harmonics
of the 20 MHz signal

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are able to be captured
in the measurement.

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The last common pitfall
when it comes to bandwidth

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is when engineers forget
about the system bandwidth.

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Your probe combined with your scope
creates the system,

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and the bandwidth of this whole system
is lower than you may think.

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Let's say both your oscilloscope
and your probe bandwidths are 500 MHz.

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Using this formula,
the system bandwidth would be 353 MHz,

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so you can see that the system
bandwidth is degraded greatly

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from the two individual bandwidth specifications
of the probe and the scope,

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and this will just keep getting worse
if you start using accessories,

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but I'll save that
for a later episode.

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Obviously, system bandwidth
is another important aspect to consider

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when you're selecting
the correct probe bandwidth.

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Now that you understand
these common pitfalls,

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you can understand why choosing a probe
with adequate bandwidth is crucial

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for making accurate measurements.

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Having too little bandwidth
means that you won't be able to see

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a true representation of your signal,
making it difficult for you

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to make good engineering decisions
while designing.

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To learn more about probing,
click on the link on-screen

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and subscribe to our YouTube channel,
and follow us on Facebook, Instagram, and Twitter.

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For anyone wondering about my cast,
this is what happens when you steal probes.

