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SPC560B64x датащи(PDF) 101 Page - STMicroelectronics |
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SPC560B64x датащи(HTML) 101 Page - STMicroelectronics |
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101 / 133 page ![]() DocID15131 Rev 9 101/133 SPC560B54x/6x Electrical characteristics 132 Equation 11 The two transients above are not influenced by the voltage source that, due to the presence of the RFCF filter, is not able to provide the extra charge to compensate the voltage drop on CS with respect to the ideal source VA; the time constant RFCF of the filter is very high with respect to the sampling time (ts). The filter is typically designed to act as antialiasing. Figure 20. Spectral representation of input signal Calling f0 the bandwidth of the source signal (and as a consequence the cut-off frequency of the antialiasing filter, fF), according to the Nyquist theorem the conversion rate fC must be at least 2f0; it means that the constant time of the filter is greater than or at least equal to twice the conversion period (tc). Again the conversion period tc is longer than the sampling time ts, which is just a portion of it, even when fixed channel continuous conversion mode is selected (fastest conversion rate at a specific channel): in conclusion it is evident that the time constant of the filter RFCF is definitively much higher than the sampling time ts, so the charge level on CS cannot be modified by the analog signal source during the time in which the sampling switch is closed. The considerations above lead to impose new constraints on the external circuit, to reduce the accuracy error due to the voltage drop on CS; from the two charge balance equations above, it is simple to derive Equation 12 between the ideal and real sampled voltage on CS: Equation 12 From this formula, in the worst case (when VA is maximum, that is for instance 5 V), assuming to accept a maximum error of half a count, a constraint is evident on CF value: Equation 13 ADC_0 (10-bit) V A2 C S C P1 C P2 C F ++ + V A C F V A1 +C P1 C P2 +C S + = f0 f Analog source bandwidth (VA) f0 f Sampled signal spectrum (fC = Conversion rate) fC f Anti-aliasing filter (fF = RC filter pole) fF 2 f0 < fC (Nyquist) fF = f0 (Anti-aliasing filtering condition) tc < 2 RFCF (Conversion rate vs. filter pole) Noise V A2 V A ------------ C P1 C P2 +C F + C P1 C P2 +C F C S ++ -------------------------------------------------------- = C F 2048 C S |
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