AD9548SLASHPCBZ datasheet(109/112 Pages) AD

109 / 112 page

AD9548

Rev. 0 | Page 109 of 112

CALCULATION OF THE

δ REGISTER VALUES

This leads to the following quantized value, which is very close to

the desired value of 6.98672x10−5:

The quantized δ coefficient consists of two components, δ0 and δ1,

according to

986688823

019

−

≈

quantized

)

(

quantized

−

≈

CALCULATION OF THE

γ REGISTER VALUES

The quantized γ coefficient consists of two components, γ0 and γ1

according to

where δ0 and δ1 are the register values.

Calculation of δ1 is a two-step process that leads to the calculation

of δ0, which is also a two-step process.

)

(

quantized

−

≈

−

))

(

(log

ceil

2 δ

−

where γ0 and γ1 are the register values. Calculation of γ1 is a two-

step process that leads to the calculation of γ0, which is also a two-

step process.

[

])

max(

min

1 =

)

(

round

))

(

(log

ceil

−

[

])

max(

767

min

0 =

[])

max(

min

1 =

Given the example value of δ = 0.002015399, the preceding

formulas yield

)

(

round

[])

max(

071

131

min

0 =

x = 8, δ1 = 8

y = 16,906.392174592, δ0 = 16,906

Using the example value of −γ = 7.50373 × 10−5 yields

This leads to the following quantized value, which is very close to

the desired value of 0.002015399:

x = 13, so γ1 = 13

y = 80,570.6873700352, so γ1 = 80,571

0020153522

16906

≈

−

quantized

This leads to the following quantized value, which is very close to

the desired value of 7.50373x10−5:

503759116

80571

−

≈

quantized

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