Apéndice 37
Downsampling and upsampling

A 2-fold downsampler, shown in figures as 2, takes an input sequence I and produces a output sequence 2(I) where

(↓2 (I))i = I2i.
(37.1)

2 is referred to as the downsampling factor.

The inverse element 2-fold upsampler, despected in figures as 2, for a given input sequence I produces the output 2(I) where

          {
(↑2 (I))i =  Ii∕2  if i is an integer multiple of 2
            0    otherwise.