LQFP176 datasheet(101/133 Pages) STMICROELECTRONICS

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DocID15131 Rev 9

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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)









Analog source bandwidth (VA)

Sampled signal spectrum (fC = Conversion rate)

Anti-aliasing filter (fF = RC filter pole)

2 f0 < fC (Nyquist)

fF = f0 (Anti-aliasing filtering condition)

tc < 2 RFCF (Conversion rate vs. filter pole)

Noise

------------

--------------------------------------------------------

2048 C





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