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Getting Started with Your 2700 Series Instrument

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Chapter 5: Quick Guides The FFT Spectrum Analyzer<br />

Real-Time vs. Batch-Mode <strong>Instrument</strong>s<br />

The Analog Analyzer is a real-time instrument. That is, it returns readings<br />

continuously, whether or not a sweep is in progress. These readings include<br />

level and frequency, as well as functions such as distortion or phase. During a<br />

sweep, readings from the audio analyzer are diverted from the panel meters to<br />

the sweep engine for graphing. After the sweep, the readings are once again<br />

displayed in the panel meters.<br />

By contrast, the FFT Spectrum Analyzer is a batch-mode instrument. It does<br />

not generate readings if a sweep is not being performed. When a sweep is<br />

started, the Spectrum Analyzer first acquires a segment of audio by storing it<br />

in memory. This is indicated (briefly) on the Status bar as DSP Acquiring<br />

Data. Once the acquisition is complete, the Spectrum Analyzer processes the<br />

data. This is indicated as DSP Transforming Data (again, briefly) on the Status<br />

bar. Once processing is complete, the control software fetches a batch of<br />

readings from the Spectrum Analyzer. At that point, the data is graphed.<br />

The FFT Concept<br />

The FFT (fast Fourier transform) is an efficient way to decompose a periodic<br />

signal into its component frequencies. It transforms a time-domain signal<br />

(such as you might see in an oscilloscope trace) into a frequency-domain representation.<br />

As an example, a high-quality power amplifier fed <strong>with</strong> a sinusoidal input<br />

will produce harmonic distortion at its output that is invisible in an oscilloscope<br />

trace. If an FFT is performed on the output signal, however, the individual<br />

distortion harmonics can be seen. The pattern of harmonics provides<br />

insight into the mechanisms responsible for the distortion.<br />

The FFT process consists of the following steps:<br />

<br />

<br />

<br />

Triggering. The system waits for a trigger event from the selected<br />

source, for instance, a positive-going zero crossing of the analog generator.<br />

Acquisition. The system stores the input audio in memory until the selected<br />

number of audio samples has been received. The more audio data<br />

acquired, the more frequency points there will be in the result, and hence<br />

the higher the resolution will be. However, longer acquisitions take more<br />

time.<br />

Windowing. Before transformation, the audio data is shaped in time by<br />

multiplying it <strong>with</strong> a pre-defined envelope. This increases the accuracy<br />

of the amplitude values returned from the FFT.<br />

46 <strong>Getting</strong> <strong>Started</strong> <strong>with</strong> <strong>Your</strong> <strong>2700</strong> <strong>Series</strong> <strong>Instrument</strong>

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