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AD8313 датащи(PDF) 12 Page - Analog Devices |
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AD8313 датащи(HTML) 12 Page - Analog Devices |
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12 / 16 page ![]() AD8313 –12– REV. B Typically, the AD8313 will need to be matched to 50 Ω. The input impedance of the AD8313 at 100 MHz can be read from the Smith Chart (Figure 24) and corresponds to a resistive input impedance of 900 Ω in parallel with a capacitance of 1.1 pF. To make the matching process simpler, the input capacitance of the AD8313, CIN, can be temporarily removed from the calcula- tion by adding a virtual shunt inductor (L2), which will resonate away CIN (Figure 34). This inductor will be factored back into the calculation later. This allows the main calculation to be based on a simple resistive-to-resistive match (i.e., 50 Ω to 900 Ω). The resonant frequency is defined by the equation ω= 1 2 LCIN therefore: L2 = 1 2 ω C IN = 2.3 µH CMATCH = (C1 • C2) (C1 + C2) LMATCH = (L1 • L2) (L1 + L2) C1 C2 CIN RIN AD8313 50 50 SOURCE L1 L2 TEMPORARY INDUCTANCE Figure 34. Input Matching Example With CIN and L2 temporarily out of the picture, the focus is now on matching a 50 Ω source resistance to a (purely resistive) load of 900 Ω and calculating values for C MATCH and L1. When RR L C SIN MATCH = 1 the input will look purely resistive at a frequency given by f LC O MATCH = 1 2 1 π = 100 MHz Solving for CMATCH gives C RR f pF MATCH SIN O == 11 2 75 π . Solving for L1 gives L RR f SIN O 1 2 = π = 337.6 nH Because L1 and L2 are in parallel, they can be combined to give the final value for LMATCH (i.e.) L LL LL MATCH = + 12 12 = 294 nH C1 and C2 can be chosen in a number of ways. First C2 can be set to a large value such as 1000 pF, so that it appears as an RF short. C1 would then be set equal to the calculated value of CMATCH. Alternatively, C1 and C2 can each be set to twice CMATCH so that the total series capacitance is equal to CMATCH. By making C1 and C2 slightly unequal (i.e., select C2 to be about 10% less than C1) but keeping their series value the same, the amplitude of the signals on INHI and INLO can be equalized so that the AD8313 is driven in a more balanced manner. Any one of the three options detailed above can be used as long as the combined series value of C1 and C2 (i.e., C1 × C2/(C1 + C2)) is equal to C MATCH. In all cases, the values of CMATCH and LMATCH must be chosen from standard values. At this point, these values need now be installed on the board and measured for performance at 100 MHz. Because of board and layout parasitics, the component values from the above example had to be tuned to the final values of CMATCH = 8.9 pF and LMATCH = 270 nH shown in Table I. Assuming a lossless matching network and noting conservation of power, the impedance transformation from RS to RIN (50 Ω to 900 Ω) has an associated voltage gain given by Gain R R dB IN S =× 20 log = 12.6 dB Because the AD8313 input responds to voltage and not true power, the voltage gain of the matching network will increase the effective input low-end power sensitivity by this amount. Thus, in this case, the dynamic range will be shifted down- wards, that is, the 12.6 dB voltage gain will shift the 0 dBm to –65 dBm input range downwards to –12.6 dBm to –77.6 dBm. However, because of network losses this gain will not be fully realized in practice. Reference Figures 31 and 32 for an example of practical attainable voltage gains. Table I shows recommended values for the inductor and capaci- tors in Figure 32 for some selected RF frequencies along with the associated theoretical voltage gain. These values for a reactive match are optimal for the board layout detailed as Figure 45. As previously discussed, a modification of the board layout will produce networks that may not perform as specified. At 2.5 GHz, a shunt inductor is sufficient to achieve match. Consequently, C1 and C2 are set sufficiently high that they appear as RF shorts. Table I. Recommended Values for C1, C2 and LMATCH in Figure 33 Freq. CMATCH C1 C2 LMATCH Voltage (MHz) (pF) (pF) (pF) (nH) Gain (dB) 100 8.9 22 15 270 12.6 9 1000 270 900 1.5 3 3 8.2 9.0 1.5 1000 8.2 1900 1.5 3 3 2.2 6.2 1.5 1000 2.2 2500 Large 390 390 2.2 3.2 Figure 35 shows the voltage response of the 100 MHz matching network; note the high attenuation at lower frequencies typical of a high-pass network. |
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