The bandwidth required for capture and
measurement of signals
depends greatly on the signals to be measured,
the types of
measurements to be made, and the accuracy
desired of the
measurements. A rough rule of thumb most
engineers use is to
have an oscilloscope with three times the
bandwidth of the
highest frequency signal they wish to measure,
though this
becomes impractical for very high frequency
signals.
Reference the definition for oscilloscope
bandwidth in the
FAQ (above). Most oscilloscopes approach the -3
dB
bandwidth-rated frequency slowly, beginning with
a gentle
amplitude rolloff at 50% (or so) of the
bandwidth frequency
rating. This means that if the oscilloscope
amplitude
response is -1 dB at 70% of rated bandwidth and
-2 dB at 85%
of rated bandwidth, then the amplitude of the
captured pure
sinusoid will be approximately 90% (-1 dB) or
80% (-2 dB)
and 70% (-3 dB) compared to when the input
sinusoid
frequency is approaching the bandwidth rating of
the
oscilloscope. However, most engineers are not
measuring pure
sinusoids with their oscilloscope. Note that the
highest
bandwidth oscilloscopes may have a flatter (less
amplitude
rolloff) or adjustable amplitude response, for a
variety of
reasons.
More likely, an engineer is measuring a signal
that resembles
a square wave. In this case, it is known that a
square wave
can be represented as a Fourier series expansion
comprised
of the sum of the fundamental frequency and odd
harmonics,
with the Nth harmonic contributing a 1/N
amplitude at that
frequency. What this means is that to accurately
represent a
square wave, you need enough bandwidth to
capture the
fundamental frequency and enough of the odd
harmonics. How
many odd harmonics is “enough” (and
how much
bandwidth is needed) is determined by the
engineer’s
tolerance for a rise time measurement on the
oscilloscope
that is slower than the real signal, and the
amount of
additive overshoot and ringing present on the
measured
signal. If only the 3rd harmonic is captured,
the rise time
will be appreciably slower, and the overshoot
and ringing
will be noticeable compared to if the 99th
harmonic is
captured (in which case the captured signal will
be
indistinguishable from the original input
signal).
This gets us back to the original answer that is
given most
often in response to the question of “how
much
bandwidth is needed?” – about 3x the
bandwidth
of the highest frequency signal. But what does
“highest frequency” mean? In this
context, most
engineers are thinking of the rise time
measurement
capability of the oscilloscope (which is related
to
bandwidth). If an engineer wants to measure a
signal with a
rise time of 1 ns, they would not choose an
oscilloscope
with a 1 ns rise time (such an oscilloscope
would typically
have a bandwidth of 350 MHz) – they would
choose an
oscilloscope with bandwidth 3x that (or 1 GHz).
Reference webinarPart
2: How Much Bandwidth Do I Need in My
Oscilloscope?in the 2023 Oscilloscope
Coffee Break
Webinar Series for other details.