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SP8853AHC Datasheet(PDF) 11 Page - Mitel Networks Corporation |
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SP8853AHC Datasheet(HTML) 11 Page - Mitel Networks Corporation |
11 / 14 page 11 SP8853A/B Fig. 11 Standard form of third order loop filter Fig. 12 Modified form of third order loop filter − + R1 C1 R2 C2 FROM CHARGE PUMP TO VCO − + R1 C1 R2 Cx FROM CHARGE PUMP TO VCO R3 C3 where Ku, K0, N and vn are as defined for the second order loop and F0 is the phase margin, normally set to 45°. These values can now be substituted in equation (3) to obtain a value for C1 and in equations (4) and (5) to determine values for C2 and R2. Example Calculate values for a third order loop with parameters as for the second order loop and F0 = 45°. From equation (5): 2 tan 45 °1 t 3 = 500Hz32p 1 cos 45 ° ∴t 3 = 131·8µs = 3161·6 0·4142 From equation (4): t 2 = (500323p)231·318310 2 4 1 ∴t 2 = 768·7µs Using these values in equation (3): t 1 = 80003(50032p)2 7·96310 2 332p310MHz/V 3 [A] 11 vn 2 t 2 2 11 vn 2 t 3 2 where A = = 1 2 11(50032p)23(7·687310 2 4)2 11(50032p)23(1·318310 2 4)2 t 1 = 7·89611010 500141·6 6·832 1·1714 1 2 = 6·334310 2 632·415 ∴t 1 = 15·3µs Now, since t 1 = C1R1 and R1 =1kΩ, C1 = ∴C 1 = 0·0153µF 1·53310 2 5 103 For Fig. 11, t 2 = R2 (C11C2) For Fig. 12, t 3 = C2R2 Substituting for C2: t 3 = C2R2 = t 2 = R2 C11 t 3 R2 = R2 C11t3 t 22t3 C1 or, R2= = 7·687310 2 421·31831024 0·0153310 2 6 ∴R 2 = 41·627kΩ t 3 R2 = 1·318310 2 4 41627 ∴C 2 = 3·17nF For Fig. 12, t 1 = C1R1 1·53310 2 5 ∴C 1 = 0·0153nF or, C1 = ∴R 2 = 50·242kΩ or, R2 = t 2 = C1R2 7·687310 2 4 1·53310 2 8 t 3 = C2R3 Since the values of C2 and R3 are independent of the other components, either can be chosen and the other determined. Assuming that R3 = 1kΩ, then 103 1·318310 2 4 ∴C 2 = 0·01318µF 103 C2 = |
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