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Marius Drechsler 2024-08-08 20:50:44 +02:00
parent 0ab044355e
commit 3f1c6e15a0
3 changed files with 20 additions and 13 deletions
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6
content/BACH.typ
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@ -12,6 +12,8 @@ Before we take a look at the higher order quantization cases, we will start with
#figure(
include("./../graphics/quantizers/bach/sign-based-overlay.typ"),
caption: [Nice graph]
)
caption: [1-bit quantizer with the PDF of a normal distribution]
)<fig:1-bit_normal>
If we overlay the PDF of a zero-mean Gaussian distributed variable $X$ with a sign-based quantizer function as shown in @fig:1-bit_normal, we can see that the expected value of the Gaussian distribution overlaps with the decision threshold of the sign-based quantizer.
Considering that the margin of error of the value $x$ is comparable with the one shown in @fig:tmhd_example_enroll, we can conclude that values of $X$