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ACE9030M/IW/FP2Q Fiches technique(PDF) 31 Page - Mitel Networks Corporation |
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ACE9030M/IW/FP2Q Fiches technique(HTML) 31 Page - Mitel Networks Corporation |
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31 / 39 page ![]() ACE9030 31 Increment Accumulator Division ( = NF ) value Ratio ...previous values 35 N TOT 3 0 & overflows N TOT + 1 33 N TOT 36 N TOT 3 1 & overflows N TOT + 1 34 N TOT 37 N TOT 3 2 & overflows N TOT + 1 35 N TOT 3 0 & overflows N TOT + 1 and so on... and in this case the phase error increases in the opposite direction each cycle by: This phase error gives an unwanted correction pulse on the Ø UP output, as the VCO frequency is too low for the division ratio in use. Any phase can be considered to be the locked condition so to simplify later calculations the phase given by a ÷ (NTOT + 1) cycle which leaves 000 in the accumulator will be chosen as the locked state and compensation will be added to achieve this. Only unwanted Ø DOWN outputs then need to be removed by cancellation and also that the total phase error in any cycle, based on formula (2), is given by replacing F, the fraction required, by the current sum of fractions, which is the value of the accumulator ACC divided by the modulus in use. This replacement is clearly valid if the state of the accumulator is considered when starting from a zero value and then adding the fractional count each cycle until an overflow is reached; when starting from a non-zero value there is some residual phase error from the overflow state so the accumulator still gives the correct phase error. Thus the phase error needing correction on the loop filter is: This error could be cancelled by a phase shift on the comparison clock from the reference divider but this is very difficult in practice so the method used in ACE9030 is to add an extra charge pump to the loop filter to directly cancel the pulse given by the normal charge pump due to this phase error. The current given by the proportional charge pump is Iprop(0) in normal mode or Iprop(1) in speed-up mode so taking normal mode first the charge that must be cancelled is: This formula could be used as it stands but the circuit can be simplified if it is recalled that Iprop(0) depends on the CN value so that loop dynamics are kept constant over a wide range of frequencies by changing CN in proportion to the total division ratio N TOT. In those systems where CN is held constant the synthesiser is in effect considered to be operating over a narrow frequency band so N TOT can also be considered constant and the following calculations still apply. The value of Iprop(0) is set by a DAC in ACE9030 from the reference current Ibo so that: and the value of CN tracks N TOT with a scaling factor SF such that: putting both of these equations into formula (5) gives the charge to be cancelled as: NF is the fraction set in Word A or A2 MOD is the modulus, 5 or 8 disturbed by the variations in division ratio but there is still some frequency modulation given by the Fractional-N opera- tion. The simplest way to remove this ripple on the synthesiser is to use a lower bandwidth loop filter but this also removes all of the advantage of fast channel change when using Frac- tional-N, so the method used in ACE9030 is to calculate the waveform of the ripple and then inject a compensation signal onto the loop filter. Fractional-N Compensation If the Fractional-N system is operating correctly the synthesiser sets the VCO frequency so that: where F is the fraction given by: The total division alternates between N TOT and NTOT + 1 so the frequency seen at the phase comparator will also alter- nate. This divided signal f FRACN is compared with the uniform comparison frequency f COMP and will give a phase error due to the different periods. There will also be some phase error due to leakage on the loop filter, leading to some correction pulses on the charge pumps to maintain lock, but these will be very small in a well designed synthesiser once the loop is locked, so can be ignored here. For each ÷ (N TOT) cycle: and so the phase error increases each cycle by: This phase error gives an unwanted correction pulse on the Ø DOWN output as the VCO frequency is too high for the division ratio in use. The phase error increases as ÷ N TOT cycles follow each other until eventually the accumulator overflows and causes a ÷ (N TOT + 1) cycle. For each ÷ (N TOT + 1) cycle: Table 7 x (fCOMP Period) .... (2) NTOT F fVCO = fCOMP x (NTOT + F) .... (1) MOD NF F = fFRANC = fCOMP x NTOT + 1 NTOT + F fFRANC = fCOMP x = fCOMP x 1+ NTOT NTOT + F NTOT NTOT + F ( ) x (fCOMP Period) .... (3) (NTOT + 1) (F - 1) Phase error = x (fCOMP Period) .... (4) NTOT x MOD ACC Iprop (0) = CN x Ibo .... (6) CN = SF x NTOT Charge = x (fCOMP Period) x Ibo .... (7) MOD ACC x SF x (fCOMP Period) x Iprop (0) .... (5) NTOT x MOD ACC |
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