In this paper, the conditions a dither signal must meet
that the quantizer noise can be considered independent of the
signal are derived for a quantizer having a finite number of levels.
An infinite class of dither signals which satisfy these conditions is
given. It is seen that the most useful member of this class is one
whose probability density function is uniformly distributed over a
quantizing interval. It is also shown that a necessary and sufficient
condition for the noise n(t) to be independent of the signal x(t) is
that a measurable quantity, called the “D” factor, be zero.
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