Datenblatt-Suchmaschine für elektronische Bauteile |
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MC12179D Datenblatt(PDF) 7 Page - Motorola, Inc |
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MC12179D Datenblatt(HTML) 7 Page - Motorola, Inc |
7 / 11 page MC12179 7 MOTOROLA RF/IF DEVICE DATA Figure 10. Transfer Function for the Crystal Noise in the Frequency Plane Figure 11. Transfer Function for the VCO Noise in the Frequency Plane T(j w) + N @ 1 ) j 2z w wo 1 ) K3K4 w 4 wo4 * B w 2 wo2 ) j 2z w wo * (AK4 ) K5) w3 wo3 T(j w) + K3K4 w4 wo4 * B w 2 wo2 * j (AK4 ) K5) w 3 wo3 1 ) K3K4 w 4 wo4 * B w 2 wo2 ) j 2z w wo * (AK4 ) K5) w3 wo3 Appendix: Derivation of Loop Filter Transfer Function The purpose of the loop filter is to convert the current from the phase detector to a tuning voltage for the VCO. The total transfer function is derived in two steps. Step 1 is to find the voltage generated by the impedance of the loop filter. Step 2 is to find the transfer function from the input of the loop filter to its output. The “voltage” times the “transfer function” is the overall transfer function of the loop filter. To use these equations in determining the overall transfer function of a PLL multiply the filter’s impedance by the gain constant of the phase detector then multiply that by the filter’s transfer function (which is unity in the 2nd and 3rd order cases below). Figure 12. Overall Transfer Function of the PLL For the 2nd Order PLL: Vp Co Ro Vt ZLF(s) + RoCos ) 1 Cos TLF(s) + Vt(s) Vp(s) + 1, Vp(s) + Kp(s)ZLF(s) For the 3rd Order PLL: Vp Co Ro Vt ZLF(s) + RoCos ) 1 CoRoCas2 ) (Co ) Ca)s TLF(s) + Vt(s) Vp(s) + 1, Vp(s) + Kp(s)ZLF(s) Ca For the 4th Order PLL: Vp Co Ro Vt ZLF(s) + (RoCos ) 1) (RxCxs ) 1) CoRoCaRxCxs3 ) [ (Co ) Ca)RxCx ) CoRo(Cx ) Ca) ] s2 ) (Co ) Ca ) Cx)s TLF(s) + Vt(s) Vp(s) + 1 (RxCxs ) 1) ,Vp(s) + Kp(s)ZLF(s) Ca Rx Cx Freescale Semiconductor, Inc. For More Information On This Product, Go to: www.freescale.com |
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