Scalar and Vector Quantization

Jayant Quantizer
N. S. Jayant showed in 1973 that ∆ adjustment based
on few observations still works fine:
If current input falls in the outer levels, expand step size
If current input falls in the inner levels, contract step size
The total product of expansions and contraction should be 1
Each decision interval k has a multiplier M k
If input s n–1 falls in the k th interval, step size is multiplied by M k
Inner-level M k < 1, outer-level M k > 1
Step size adaptation rule:
∆
=
n
M l ( n−1)
n−
where l(n–1) is the quantization interval at time n–1.
∆
1,
30/55