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Mid-tread quantization involves rounding. The formulas for mid-tread uniform quantization are provided in the previous section.

:,

Mid-riser quantization involves truncation. The input-output formula for a mid-riser uniform quantizer is given by:
:,where the classification rule is given by
:and the reconstruction rule is
:.

Note that mid-riser uniform quantizers do not have a zero output value - their minimum output magnitude is half the step size. In contrast, mid-tread quantizers do have a zero output

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