FFT
Measurements
2-17
SR785 Dynamic Signal Analyzer
RMS Average
Power Spectrum = <FFT1*• FFT1>
Peak Hold Average
Power Spectrum = MAX(FFT1) • MAX(FFT1)
Time Record
A time record is simply a sequence of data samples. The duration of the time record is
equal to 1/FFT resolution.
For baseband spans (spans which start at DC), the time record resembles a digital
oscilloscope display. Signals at frequencies above the span have been filtered out.
Baseband time records are entirely real, they have no imaginary part.
For zoomed spans (spans which start above DC), the time record display does NOT
resemble the original data. The data has been frequency shifted. Signals at the center of
the span appear at DC while frequencies at both edges of the span appear as high
frequencies. Zoomed time records are complex, they have both a real and an imaginary
part. The sampling rate is always half of the equivalent baseband span.
Some points to remember,
1. The time record is not a continuous representation of the input signal. The data is
sampled and has a time resolution of 1/(sample rate). High frequency signals will
appear distorted in the time record. However, ALL of the spectral information is
preserved by the Nyquist sampling theorem as long as the value of each sample is
accurate.
2. Averaging does not affect the time record. Averaging is performed on the FFT
spectrum and not on the time data.
3. Amplitude calibration is performed in the frequency domain. Hence, the time record
amplitudes are not calibrated.
4. A triggered time record will always jitter by 1 sample. This jitter is removed in the
computation of the phase of the spectrum relative to the trigger.
Averaged and calibrated time records can be obtained using a User Math function (using
inverse FFT).
Windowed Time Record
The FFT operates on windowed time records. The window function is applied to the time
record immediately before the FFT. Most window functions taper off to zero at the start
and end of the time record. If a transient signal occurs at the start of the time record, the
corresponding windowed time record and FFT may not show anything because the
window function reduces the transient to zero.
Содержание SR785
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