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AD9553/PCBZ Datasheet(PDF) 26 Page - Analog Devices |
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AD9553/PCBZ Datasheet(HTML) 26 Page - Analog Devices |
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26 / 44 page ![]() AD9553 Rev. 0 | Page 26 of 44 This leads to the complete frequency translation formula ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ × ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ = 1 0 1 P P N R K f f X X OUT ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ × ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ = 2 0 2 P P N R K f f X X OUT Specific numeric constraints apply as follows. Note that the symbol ∈ indicates that the constraint is an element of one in the series from the list within the curly brackets. { } 2 , 1 , , 5 5 ∈ K {} {} 1048576 {} 6 , 5 0 ∈ P {} 63 , , 2 , 1 1 L ∈ P {} 63 , , 2 , 1 2 L ∈ P 2 1 16384 , , 2 , 1 L ∈ X R , , 33 , 32 L ∈ N Additional constraints apply. One constraint is related to the VCO and the other to the 2× frequency multipliers in the REFA and REFB paths. The VCO constraint is a consequence of its limited bandwidth. However, the 2× frequency multiplier constraint only applies when the /5 prescalers are bypassed, but it also requires that RA and RB are large enough to satisfy the FPFD constraint. The additional constraints are as follows: 3350 MHz ≤ fOUT1 × P0 × P1 ≤ 4050 MHz 3350 MHz ≤ fOUT2 × P0 × P2 ≤ 4050 MHz fREFA/B ≤ 125 MHz (2× multiplier with /5 bypassed) Generally, the AD9553 is for applications in which fREFA and fREFB are the same frequency, so the multiplexers in the REFA and REFB paths share identical configurations. This, in conjunction with the crystal frequency (fXTAL), results in the following relationship between the RA and RXO dividers (here K is the scale factor for the REFA path). A XO REFA XTAL R R K f f × = × 2 Note that for pin-programmed holdover applications using the crystal, the crystal frequency must be 25 MHz. Under these circumstances, the above equation simplifies as follows: A XO REFA R R K f × = × 6 10 50 CALCULATING DIVIDER VALUES This section describes the process of calculating the divider values when given a specific fOUT1/fREF ratio (fREF is the frequency of either the REFA or REFB input signal source or the external crystal resonator). This description is in general terms, but it includes a specific example for clarity. The example assumes a frequency control pin setting of A[3:0] = 1011 (see Table 14) and Y[5:0] = 011100 (see Table 15), yielding the following: fREF = 125 MHz fOUT1 = 155.52 MHz Follow these steps to calculate the divider values. 1. Determine the output divide factor (ODF). Note that the VCO frequency (fVCO) spans 3350 MHz to 4050 MHz. The ratio, fVCO/fOUT1, indicates the required ODF. Given the specified value of fOUT1 (155.52 MHz) and the range of fVCO, the ODF spans a range of 21.54 to 26.04. The ODF must be an integer, which means that ODF is 22, 23, 24, 25, or 26. 2. Determine suitable values for P0, P1 and fVCO. The ODF is the product of the two output dividers P0 and P1 (ODF = P0P1). However, P0 is constrained to 5 or 6 (see the Output/Input Frequency Relationship section), which means that there are only two possibilities for ODF in this example: ODF = 24 (P0 = 6, P1 = 4) and ODF = 25 (P0 = 5, P1 = 5). These two ODF values result in the only VCO frequencies that satisfy the 155.52 MHz requirement for OUT1 (3732.48 MHz for ODF = 24 and 3888 MHz for ODF = 25). The results appear below. Note that the first result agrees with Table 15 in the Preset Frequencies section). P0 = 6, P1 = 4 (fVCO = 3732.48 MHz) P0 = 5, P1 = 5 (fVCO = 3888 MHz) 3. Determine the boundary conditions on N, K, and R. Because of the architecture of the PLL, FPFD must be an integer submultiple of the VCO frequency as shown in the following equation. Note that N is an integer and is the 20-bit value of the N-divider. N f FPFD VCO = This relationship leads to boundary conditions on N because N must be an integer that satisfies N = fVCO/FPFD. The limits on FPFD (13.3 kHz to 100 MHz) combined with the results for fVCO from Step 2 yield N = 38...280,637 (for fVCO = 3732.48 MHz) N = 39...292,330 (for fVCO = 3888 MHz) Note that FPFD also relates to the input frequency, fREF, per the following equation. Here, R is the 14-bit integer divi- sion factor of the input divider (RA or RB), while K is the scale factor associated with the optional 2× multiplier and divide-by-five functions. Note that K can only be one of four values: 1/5, 2/5, 1, or 2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ = R K f FPFD REF This relationship leads to boundary conditions on R because R/K = fREF/FPFD where R must be an integer and K can only be 1/5, 2/5, 1, or 2. The limits on FPFD (13.3 kHz to 100 MHz) combined with the given value of fREF yield the following bounds on R. Note that for K = 2, the upper bound on R is limited by its 14-bit range. |
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