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Digital Signal
Processing
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(...continued)
Further, it should be noted that the passband and
stopband frequencies of digital filters differ from
the cutoff frequency of the commonly used Bessel and
Butterworth analog filters. The cutoff frequency of
an analog filter, typically specified at an
attenuation of 3 dB, usually lies in the transition
band between the passband and stopband frequencies of
comparable digital filters.
Digital filters are a combination of mathematical
algorithms and fast digital circuits which operate on
a series of digital data acquired over a period of
time. The necessity of using a series of data leads
to a delay as the data passes through the filter.
After each new sample is taken, the oldest data drops
off the front of the series, the remaining data is
moved forward in the series, and the data just
acquired is added to the end of the series. Then the
algorithm is applied to the series of data to obtain
a calculated value for the filtered data. The delay,
calculated as the time a particular sample takes to
get midway through the series, is a function of the
ADC sampling rate, the number of terms used in the
series, and the passband frequency. Accordingly, the
same digital filter should be selected for all
measurement channels to ensure that all data acquired
at the same time emerges from the digital filters at
the same, but delayed, time.
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