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Agilent Spectrum Analysis Basics - Agilent Technologies

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In Chapter 2, we did a filter skirt selectivity calculation for two signals<br />

spaced 4 kHz apart, using a 3 kHz analog filter. Let’s repeat that calculation<br />

using digital filters. A good model of the selectivity of digital filters is a<br />

near-Gaussian model:<br />

∆f<br />

H(∆f) = –3.01 dB x [ ] α<br />

RBW/2<br />

where<br />

H(∆f) is the filter skirt rejection in dB<br />

∆f is the frequency offset from the center in Hz, and<br />

α is a parameter that controls selectivity. α = 2 for an ideal<br />

Gaussian filter. The swept RBW filters used in <strong>Agilent</strong><br />

spectrum analyzers are based on a near-Gaussian model with an α<br />

value equal to 2.12, resulting in a selectivity ratio of 4.1:1.<br />

Entering the values from our example into the equation, we get:<br />

H(4 kHz) = –3.01 dB x [ 4000 ] 2.12<br />

3000/2<br />

= –24.1 dB<br />

At an offset of 4 kHz, the 3 kHz digital filter is down –24.1 dB compared<br />

to the analog filter which was only down –14.8 dB. Because of its superior<br />

selectivity, the digital filter can resolve more closely spaced signals.<br />

The all-digital IF<br />

The <strong>Agilent</strong> PSA Series spectrum analyzers have, for the first time, combined<br />

several digital techniques to achieve the all-digital IF. The all-digital IF brings<br />

a wealth of advantages to the user. The combination of FFT analysis for<br />

narrow spans and swept analysis for wider spans optimizes sweeps for the<br />

fastest possible measurements. Architecturally, the ADC is moved closer<br />

to the input port, a move made possible by improvements to the A-to-D<br />

converters and other digital hardware. Let’s begin by taking a look at the<br />

block diagram of the all-digital IF in the PSA spectrum analyzer, as shown<br />

in Figure 3-2.<br />

Custom IC<br />

Anti-alias<br />

filter<br />

ADC<br />

I<br />

Q<br />

I, Q<br />

r,<br />

log (r)<br />

Counter<br />

VBW<br />

Display<br />

det<br />

Prefilter<br />

Ranging<br />

rules<br />

-1<br />

Hilbert<br />

transform<br />

log<br />

log<br />

log<br />

pwr<br />

v<br />

log<br />

pwr<br />

v<br />

log<br />

log<br />

log<br />

log<br />

Autoranging ADC system<br />

RISC processor<br />

FFT<br />

Display<br />

Processing<br />

log/lin<br />

dB/div<br />

Display<br />

Figure 3-2. Block diagram of the all-digital IF in the <strong>Agilent</strong> PSA Series<br />

45

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