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Agilent Spectrum Analysis Basics - Agilent Technologies

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The width of the resolution (IF) filter determines the maximum rate at which<br />

the envelope of the IF signal can change. This bandwidth determines how far<br />

apart two input sinusoids can be so that after the mixing process they will<br />

both be within the filter at the same time. Let’s assume a 21.4 MHz final IF<br />

and a 100 kHz bandwidth. Two input signals separated by 100 kHz would<br />

produce mixing products of 21.35 and 21.45 MHz and would meet the<br />

criterion. See Figure 2-16. The detector must be able to follow the changes in<br />

the envelope created by these two signals but not the 21.4 MHz IF signal itself.<br />

The envelope detector is what makes the spectrum analyzer a voltmeter.<br />

Let’s duplicate the situation above and have two equal-amplitude signals in<br />

the passband of the IF at the same time. A power meter would indicate a<br />

power level 3 dB above either signal, that is, the total power of the two.<br />

Assume that the two signals are close enough so that, with the analyzer<br />

tuned half way between them, there is negligible attenuation due to the<br />

roll-off of the filter 8 . Then the analyzer display will vary between a value<br />

that is twice the voltage of either (6 dB greater) and zero (minus infinity<br />

on the log scale). We must remember that the two signals are sine waves<br />

(vectors) at different frequencies, and so they continually change in phase<br />

with respect to each other. At some time they add exactly in phase; at<br />

another, exactly out of phase.<br />

So the envelope detector follows the changing amplitude values of the peaks<br />

of the signal from the IF chain but not the instantaneous values, resulting<br />

in the loss of phase information. This gives the analyzer its voltmeter<br />

characteristics.<br />

Digitally implemented resolution bandwidths do not have an analog envelope<br />

detector. Instead, the digital processing computes the root sum of the squares<br />

of the I and Q data, which is mathematically equivalent to an envelope<br />

detector. For more information on digital architecture, refer to Chapter 3.<br />

Displays<br />

Up until the mid-1970s, spectrum analyzers were purely analog. The<br />

displayed trace presented a continuous indication of the signal envelope,<br />

and no information was lost. However, analog displays had drawbacks. The<br />

major problem was in handling the long sweep times required for narrow<br />

resolution bandwidths. In the extreme case, the display became a spot<br />

that moved slowly across the cathode ray tube (CRT), with no real trace<br />

on the display. So a meaningful display was not possible with the longer<br />

sweep times.<br />

8. For this discussion, we assume that the filter is<br />

perfectly rectangular.<br />

<strong>Agilent</strong> <strong>Technologies</strong> (part of Hewlett-Packard at the time) pioneered a<br />

variable-persistence storage CRT in which we could adjust the fade rate of<br />

the display. When properly adjusted, the old trace would just fade out at<br />

the point where the new trace was updating the display. This display was<br />

continuous, had no flicker, and avoided confusing overwrites. It worked quite<br />

well, but the intensity and the fade rate had to be readjusted for each new<br />

measurement situation. When digital circuitry became affordable in the<br />

mid-1970s, it was quickly put to use in spectrum analyzers. Once a trace had<br />

been digitized and put into memory, it was permanently available for display.<br />

It became an easy matter to update the display at a flicker-free rate without<br />

blooming or fading. The data in memory was updated at the sweep rate, and<br />

since the contents of memory were written to the display at a flicker-free<br />

rate, we could follow the updating as the analyzer swept through its selected<br />

frequency span just as we could with analog systems.<br />

25

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