LeCroy Digital Oscilloscopes, Manual

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A great advantage of digitizing is the added ability to analyze data.
Once the analog signal has been converted into digital data, the data
can be analyzed either by the DSO’s internal digitizer processor or by
an external computer. Most current digitizers have a wide analysis
spectrum built-in. Depending on the model and its options, LeCroy
DSOs offer a selection of the following analytical features.
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The optional time domain waveform analysis package — includes
zooming, summed averaging of up to one million sweeps,
derivatives, logarithm, square root, absolute value, ratio, six digital
filters and standard arithmetic operations. The zoom feature on high-
performance models expands the waveform so that the individual
data are very clearly separated.
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Spectrum analysis greatly extends the DSO’s processing power and
offers two clear advantages over FFT (Fast Fourier Transform)
analyzers: higher frequency components, and the ability to monitor
both time and frequency information. Fourier transform converts
sampled waveform information into a unique set of sine wave
components. The data is usually plotted as amplitude vs frequency,
exposing information not easily visible in the time domain (amplitude
vs time). Ideally, it can be used for such analyses as measuring
frequency components of communication signals and monitoring drift
in an oscillator. The frequency resolution of an FFT is directly
proportional to the number of time-domain points the FFT algorithm
can handle.
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The existence of measured waveforms in digital representations
permits convenient use of the data inherent in those measurements.
As well as analysis of signals in the frequency domain and the ability
to perform mathematical operations and signal averaging on data,
trends can be determined and histograms of the data analyzed.
The histogram is a graph of the distribution of values of a measured
parameter. For example, when measuring the risetime of a repetitive
signal for which all the measurements are equal, the histogram will
be a straight vertical line without breadth. However, variations in
risetimes create a plot with some horizontal structure, implying
variations in the measurements. Your LeCroy DSO is able not only to