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A Complete <strong>Design</strong> Example 331<br />

R,,(lossy) = 67.49.<br />

X gI =29.49.<br />

~I = 114.83.<br />

L gi =46.93, C I =42.01, L I = 164.31, L 12 =97.47,<br />

C 12 = 13.26, L,=248.01, C,=28.14, L 23 =365.12,<br />

C 23 = 1.734, C 3 =28.14, L 3<br />

=214.67, L 34 =227.34,<br />

L 4 = 42.49, C 4 =70.77 (in pF, nH).<br />

(72)<br />

(73)<br />

(74)<br />

(77)-(79)<br />

8.6.12. Perfomumce and Sensitivity Analysis. The preceding component val·<br />

ues, applicable to Figure 8.2, were used to obtain an exact S" frequency<br />

response by analysis; the result is equivalent to the graph in Figure 8.3, except<br />

that the midband loss was 0.400 dB and the minimum selectivity response<br />

above f'2 = 200 MHz was 83.75 dB instead <strong>of</strong> the specified L" = 80 dB. This<br />

excess selectivity is partly attributable to the 9.54-dB contribution <strong>of</strong> (0.47), as<br />

opposed to the more exact contribution <strong>of</strong> 3.54 dB <strong>of</strong> (0.46) using Qo=0.603.<br />

(The value <strong>of</strong> Qo is known only near the end <strong>of</strong> the procedure.) This 6-dB<br />

difference would give an estimate 2.25 dB low, which is attributable to the<br />

marginal condition in (0.55) and the approximation in (0.49). As computed,<br />

the selectivity slightly exceeded specifications, and the predicted midband loss<br />

<strong>of</strong> 0.322 dB was slightly exceeded.<br />

As indicated in (0.80)-(0.83), the important parameter in the sensitivity <strong>of</strong><br />

S" to load SWR is the value <strong>of</strong> IS22I; the typical behavior <strong>of</strong> this value is<br />

shown in Figure 8.30. These data, used in (0.81) and (0.82), indicate that in<br />

the passband the transfer response can vary by as much as ± 0.8 dB, and the<br />

transfer phase can vary by as much as ± 1.2 degrees for a 1.2: I load SWR <strong>of</strong><br />

arbitrary reflection phase.<br />

0.3<br />

-<br />

'""<br />

0.1<br />

105<br />

100<br />

MH,<br />

Figure 8.30. Typical behavior <strong>of</strong> the S2~ load sensitivity parameter.

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