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Agilent Spectrum Analysis Basics - Agilent Technologies

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Relative uncertainty<br />

When we make relative measurements on an incoming signal, we use either some<br />

part of the same signal or a different signal as a reference. For example, when we<br />

make second harmonic distortion measurements, we use the fundamental of the<br />

signal as our reference. Absolute values do not come into play; we are interested<br />

only in how the second harmonic differs in amplitude from the fundamental.<br />

In a worst-case relative measurement scenario, the fundamental of the<br />

signal may occur at a point where the frequency response is highest, while<br />

the harmonic we wish to measure occurs at the point where the frequency<br />

response is the lowest. The opposite scenario is equally likely. Therefore,<br />

if our relative frequency response specification is ±0.5 dB as shown in<br />

Figure 4-2, then the total uncertainty would be twice that value, or ±1.0 dB.<br />

Perhaps the two signals under test might be in different frequency bands of the<br />

spectrum analyzer. In that case, a rigorous analysis of the overall uncertainty<br />

must include the sum of the flatness uncertainties of the two frequency bands.<br />

Other uncertainties might be irrelevant in a relative measurement, like<br />

the RBW switching uncertainty or reference level accuracy, which apply<br />

to both signals at the same time.<br />

Absolute amplitude accuracy<br />

Nearly all spectrum analyzers have a built-in calibration source which<br />

provides a known reference signal of specified amplitude and frequency.<br />

We then rely on the relative accuracy of the analyzer to translate the absolute<br />

calibration of the reference to other frequencies and amplitudes. <strong>Spectrum</strong><br />

analyzers often have an absolute frequency response specification, where<br />

the zero point on the flatness curve is referenced to this calibration signal.<br />

Many <strong>Agilent</strong> spectrum analyzers use a 50 MHz reference signal. At this<br />

frequency, the specified absolute amplitude accuracy is extremely good:<br />

±0.34 dB for the ESA-E Series and ±0.24 dB for the PSA Series analyzers.<br />

It is best to consider all known uncertainties and then determine which<br />

ones can be ignored when doing a certain type of measurement. The range<br />

of values shown in Table 4-1 represents the specifications of a variety of<br />

different spectrum analyzers.<br />

Some of the specifications, such as frequency response, are frequency-range<br />

dependent. A 3 GHz RF analyzer might have a frequency response of ±0.38 dB,<br />

while a microwave spectrum analyzer tuning in the 26 GHz range could have<br />

a frequency response of ±2.5 dB or higher. On the other hand, other sources<br />

of uncertainty, such as changing resolution bandwidths, apply equally to<br />

all frequencies.<br />

Table 4-1. Representative values of amplitude uncertainty for common spectrum analyzers<br />

Amplitude uncertainties (±dB)<br />

Relative<br />

RF attenuator switching uncertainty 0.18 to 0.7<br />

Frequency response 0.38 to 2.5<br />

Reference level accuracy (IF attenuator/gain change) 0.0 to 0.7<br />

Resolution bandwidth switching uncertainty 0.03 to 1.0<br />

Display scale fidelity 0.07 to 1.15<br />

Absolute<br />

Calibrator accuracy 0.24 to 0.34<br />

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