188 Agilent InfiniiVision 3000 X-Series Oscilloscopes User's Guide
12 Acquisition Control
 
Oscilloscope Bandwidth and Sample Rate
An oscilloscope's bandwidth is typically described as the lowest frequency 
at which input signal sine waves are attenuated by 3 dB (- 30% amplitude 
error).
At the oscilloscope bandwidth, sampling theory says the required sample 
rate is f
S
 = 2f
BW
. However, the theory assumes there are no frequency 
components above f
MAX
 (f
BW
 in this case) and it requires a system with 
an ideal brick- wall frequency response.
However, digital signals have frequency components above the fundamental 
frequency (square waves are made up of sine waves at the fundamental 
frequency and an infinite number of odd harmonics), and typically, for 
1 Ghz bandwidths and below, oscilloscopes have a Gaussian frequency 
response.
Figure 34 Theoretical Brick-Wall Frequency Response
f
S
f
N
-3dB
Attenuation
Frequency
0dB