Quantization (signal processing): Difference between revisions

Revision as of 13:24, 17 July 2025

Revision as of 20:29, 25 July 2025

Line 47:

===Mid-riser and mid-tread uniform quantizers===

Most uniform quantizers for signed input data can be classified as being of one of two types: ''mid-riser'' and ''mid-tread''. The terminology is based on what happens in the region around the value 0, and uses the analogy of viewing the input-output function of the quantizer as a [[stairway]]. Mid-tread quantizers have a zero-valued reconstruction level (corresponding to a ''tread'' of a stairway), while mid-riser quantizers have a zero-valued classification threshold (corresponding to a ''[[Stair riser|riser]]'' of a stairway).<ref name=Gersho77>{{cite journal | last=Gersho | first=A. |author-link=Allen Gersho | title=Quantization | journal=IEEE Communications Society Magazine | publisher=Institute of Electrical and Electronics Engineers (IEEE) | volume=15 | issue=5 | year=1977 | issn=0148-9615 | doi=10.1109/mcom.1977.1089500 | pages=16–28| s2cid=260498692 }}</ref>

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