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Comments on a <strong>Design</strong> Procedure 321<br />

8.5. Comments on a <strong>Design</strong> Procedure<br />

A complete design procedure will be described with the aid <strong>of</strong> a flowchart.<br />

The 13 major steps will be described, especially several topics that have not<br />

been discussed so far. These are design limitations, optimization <strong>of</strong> shunt<br />

inductance values, sensitivities, and filter tuning.<br />

8.5.1. <strong>Design</strong> Flowchart. A step-by-step design procedure suitable for manual<br />

computation or computer programming is shown in Figure 8.28. The<br />

design step numbers correspond to the numbers <strong>of</strong> the main section headings<br />

in Appendix G and to the last number <strong>of</strong> the subsection headings in Section<br />

8.6. The following discussion emphasizes each step as previously described or<br />

currently introduced.<br />

The choice <strong>of</strong> a passband shape in step 1 is really a choice <strong>of</strong> loaded-Q<br />

distribution. Element constraints are sometimes sufficiently severe to dictate<br />

the use <strong>of</strong> an arbitrary set <strong>of</strong> loaded-Q values; the passband shape then is<br />

nameless and can be determined only by analysis. The stopband estimates are<br />

still viable, but step 3 has been preempted. Otherwise, one <strong>of</strong> the four shapes<br />

discussed in Section 8.4 is selected, or a new prototype shape is developed to<br />

provide a (normalized) loaded-Q distribution. Conventional shape specifications<br />

are: (I) the number <strong>of</strong> resonators (poles); (2) the passband parameter<br />

(such as decibel ripple, droop, or QdQu); (3) the fractional passband width<br />

(Fp) and loss (L p )'<br />

Step 2 in Figure 8.28 is to choose the configuration (e.g., Figure 8.2), the<br />

midband frequency (e.g., Figure 8.3), and the allowable ranges <strong>of</strong> component<br />

values (i.e., 1,,, L" [ and ~"C" C, where the underlines and overlines<br />

indicate lower and upper bounds, respectively). Generally, the shunt inductor<br />

Qu values are the resonator Qu values, because resonator capacitors usually<br />

have relatively little loss and inverter dissipation has little effect.<br />

A specific passband shape is obtained by a unique loaded-Q distribution<br />

among the resonators in the absence <strong>of</strong> inverter frequency effects. The actual<br />

level to which this distribution is scaled can be determined by knowledge <strong>of</strong><br />

the "QLNFp" product for the shape. These values are easily calcu!!lted and<br />

tabulated, so that specification <strong>of</strong> Fp determines QLN' Thus, the N QL values<br />

normalized to QLN (also tabulated versus shape) can be unnormalized. Step 3<br />

in Figure 8.28 concerns this calcUlation. The stopband specifications may<br />

result in greater QLN values than those resulting from the passband specification.<br />

Step 3 records the decision that the pass band may be more important,<br />

because selectivity increases and passband width decreases with increasing<br />

loaded Q (increased stored energy). Loss effects in the passband must also be<br />

considered in step 3. Dissipation tends to mask ripples, especially at the<br />

passband edges. However, the minimum-loss shape is known in the presence<br />

<strong>of</strong> uniform resonator dissipation.<br />

Step 4 is based on the fact that stopband selectivity is completely specified

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