For the case of optimum uniform quantizers and again equal length
binary code words to represent the output levels, Wintz and Kurtenbach
[94] have assumed
d
u
Jb
u
J = exp(-±b
u
,
v
lnW) (149)
an expression obtained empirically as before. Substituting (149) in (145),
and carrying out the constrained minimization, they have obtained the
following result:
2 Γ l M-lM-l Ί
=+ toiö Π
<v
~^ .?o I
ln
σ1
Λ
(150)
Both (148) and (150) may result in noninteger values for b
u v
, in which
case they are rounded to the nearest integer. After such rounding off, it is
possible that the condition in (146) may not be satisfied. In that event ...
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