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DP8459 Datasheet(PDF) 17 Page - National Semiconductor (TI) |
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DP8459 Datasheet(HTML) 17 Page - National Semiconductor (TI) |
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17 / 35 page ![]() External Component Selection Symbol Parameter Min Typ Max Units R NOM Charge Pump Nominal Operating 1.2 12 k Ω Current Setting Resistor ( Note 1 ) R BOOST Charge Pump Boost Current 1.2 ∞ k Ω Setting Resistor ( Note 1 ) C NOM R NOM Bypass Capacitor (Note 2 ) 0.01 µF C BOOST R BOOST Bypass Capacitor (Note 2 ) 0.01 µF R PU PUMP UP Open Emitter Output 510 Ω Pull-Down Resistor R PD PUMP DOWN Open Emitter Output 510 Ω Pull-Down Resistor Note 1: The minimum allowed value for the parallel combination of RNOM and RBOOST is 1.2 kΩ. Note 2: CNOM and CBOOST should be high quality, high frequency type. 3.0 PLL Applications: Loop Filter Design In order to maintain greatest design flexibility for the Customer, all PLL filter components and Charge Pump gain setting elements reside external to the DP8459. All PLL dynamics are thus under the control of the system designer. The following is a brief analysis of the DP8459 PLL; Section 3.1 contains a derivation of component values based on projected requirements within an example hard disk drive system. Figure 16 represents the DP8459 PLL in simplified form. Mathematical gain representations for each block are: K PG = 1/N Pulse Gate equivalent gain K PC = 1/(2π) Phase Comparator gain K CP = VCC/2Rp Charge Pump gain where R p = RNOM, HGD high; R p = RNOM||RBOOST, HGD low K VCO = 1.2 ω O VCO gain ( ω O = operating center frequency) FIGURE 16. Basic DP8459 Phase Locked Loop Block Diagram N is defined as the number VCO cycles per recorded ENCODED READ DATA pulse, or conversely, the ratio of the VCO frequency to the ENCODED READ DATA frequency. The aggregate block gain equation (excluding the loop filter) can be written as: K B = 1.2 VCC fO/(2RpN) The impedance of the loop filter is The open loop system response G(s) is given by This last equation reveals the PLL with this filter configuration is a third order system, which is typically difficult to analyze. However, if C 2 << C1, it can be argued that the behavior of the third order loop closely resembles that of a second order system, allowing for a greatly simplified analysis. If C 2 << C1, the impedance Z(s) approximates to The overall open loop gain (including the filter) is then Substituting K B into the equation, τ 1 = RpC1 and τ2 = R1C1 are the pole and zero, respectively, which govern the system response. The closed loop gain H(s) is TL/F/9322-18 http:\\www.national.com 17 PrintDate=1996/07/31 PrintTime=11:06:00 ds009322 Rev. No. 1 Proof 17 |
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