AD9547 datasheet(105/106 Pages) AD

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Data Sheet

AD9547

Calculation of the β Register Values

The quantized β coefficient consists of two components, β0 and

β1, according to

−β ≈ βquantized = β0 × 2−(17 + β1)

where β0 and β1 are the register values.

Calculation of β1 is a two-step process that leads to the

calculation of β0, which is also a two-step process.

x = −ceil(log2( β ))

β1 = min[31, max(0, x)]

y = round( β × 217 + β1)

β0 = min[131071, max(1, y)]

Using the example value of −β = 6.98672 × 10−5 yields

x = 13, so β1 = 13

y = 75019.3347657728, so β0 = 75019

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

to the desired value of 6.98672 × 10−5:

βquantized = 75019 × 2−30 ≈ 6.986688823 × 10−5

Calculation of the γ Register Values

The quantized γ coefficient consists of two components, γ0 and

γ1, according to

−γ ≈ γquantized = γ0 × 2−(17 + γ1)

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.

x = −ceil(log2( γ ))

y1 = min[31, max(0, x)]

y = round( γ × 217 + γ1)

γ0 = min[131071, max(1, y)]

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

x = 13, so γ1 = 13

y = 80570.6873700352, so γ0 = 80571

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

to the desired value of 7.50373 × 10−5:

γquantized = 80571 × 2−30 ≈ 7.503759116 × 10−5

Calculation of the δ Register Values

The quantized δ coefficient consists of two components, δ0 and

δ1, according to

δ ≈ δquantized = δ0 × 2−(15 + δ1)

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.

x = −ceil(log2(δ))

δ1 = min[31, max(0, x)]

y = round(δ × 215 + δ1)

δ0 = min[32767, max(1, y)]

Using the example value of δ = 0.002015399, the preceding

formulas yield

x = 8, so δ1 = 8

y = 16906.392174592, so δ0 = 16906

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

to the desired value of 0.002015399:

δquantized = 16906 × 2−23 ≈ 0.002015352249

Rev. G | Page 105 of 106

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