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GS9035C Datasheet(PDF) 10 Page - Gennum Corporation |
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GS9035C Datasheet(HTML) 10 Page - Gennum Corporation |
10 / 14 page GENNUM CORPORATION 20582 - 3 10 of 14 Fig. 14 Bode Plot for PLL Transfer Function The 3dB bandwidth of the transfer function is approximately 9.2 Transfer Function Peaking There are two causes of peaking in the PLL transfer function given by Equation 1. The first is the quadratic which has and This response is critically damped for Q = 0.5. Thus, to avoid peaking: or Therefore, wP2 > 4 wBW However, it is desirable to keep wP2 as low as possible to reduce the high frequency content on the loop filter. The second is the zero-pole combination: This causes lift in the transfer function given by To keep peaking to less than 0.05dB, wZ < 0.0057 wBW 9.3 Selection of Loop Filter Components Based on the above analysis, select the loop filter components for a given PLL bandwidth, ƒ3dB, as follows: 1. Calculate where ΙCP is the charge pump current and is a function of the RVCO resistor and is obtained from Figure 15. Kƒ = 90MHz/V for VCO frequencies corresponding to the ƒL curve. Kƒ = 140MHz/V for VCO frequencies corresponding to the ƒH curve. N is the divider modulus. (ƒL, ƒH and N can be obtained from Table 2 or Table 3). 2. Choose RLF = 2(3.14) ƒ3dB (0.78)L 3. Choose CLF1 = 174 L / (RLF) 2 4. Choose CLF2 = L/4(RLF) 2 WZ 0 WP1 WBW WP2 FREQUENCY w 3dB w BW 12 w BW w P2 ------------ – w BW wP2 ⁄ () 2 12 w BW w P2 ------------ – ---------------------------------- + ---------------------------------------------------------------------- w BW 0.78 ------------ ≈ = s 2 C LF2Ls L R LF --------- 1 ++ w O 1 C LF2L -------------------- = QR LF C LF2 L ------------- = R LF C LF2 L ------------- 1 2 --- < 1 R LFCLF2 ----------------------- L R LF --------- 4 > sC LF1RLF 1 + sC LF1RLF L R LF ----------- – 1 + ----------------------------------------------------------- s w Z ------- 1 + s w P1 ---------- 1 + -------------------- = 20 LOG w P1 w Z ---------- 20 LOG 1 1 w Z w BW ------------ – --------------------- = 2N Ι CPK ƒ L = |
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