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8 changed files with 43 additions and 28 deletions

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.gitignore vendored
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result*
.direnv
.envrc
main.pdf

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main.pdf Normal file

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#import "@preview/wordometer:0.1.4": word-count, total-words
#set page(
paper: "a4",
//numbering: "1",
numbering: "-1-",
margin: (top: 2.5cm, left: 2.5cm, right: 2.5cm, bottom: 2cm)
)
#if (context here().page()) != 1 [
#set page(
numbering: "1"
)
]
#set page(
footer: context {
if here().page() > 1 {
align(center)[#counter(page).display()]
}
}
)
#set text(
font: "Times New Roman",
size: 12pt,
)
Name\
Type of essay\
Date
Marius Drechsler\
Process Essay\
May 17th, 2025
#align(center, text(size: 17pt, weight: "bold")[
*Essay Title*
*Around the world in 133 ms*
])
#set align(left)
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justify: true,
leading: 2em,
spacing: 2em,
first-line-indent: (amount: 3em, all: true)
first-line-indent: (amount: 5em, all: true)
)
#show: word-count
#lorem(200)
#lorem(200)
Essay has a total of #total-words words.
Have you ever wondered what really happens with your voice when you talking to someone on the phone?
From the instant the soundwaves leave your throat until they reach the ear of the person you are talking to,
a series of analog and digital processes collaborate to carry your message.
In fact, this whole process can be broken down into three major steps -- sampling, quantisation and modulation.
In the course of this essay, we will investigate each of these steps in more depth to understand how modern
communication works on a technical level.
//To understand how we communicate across the globe on a technical level, we begin with the most primitive
//instrument of all: the human voice.
In the sampling process, an analogue signal is transformed into its digital representation.
This signal can be interpreted as any kind of waveform or motion that has not been processed by
a digital device yet.
For example, the sound of your voice or the tone of a guitar string is a suiting type of signal that we
want to digitize.
However, a digital device like a computer or a phone cannot unterstand such an analogue signal, thus we have
to first convert it into some kind of electrical signal the device can unterstand.
We can achieve that by taking repeated "snapshots" of the current state of the analogue signal and saving
the corresponding value.
The resulting signal is now so called "time discreet", because we went from a continuous signal that has a value
for every imaginable point in time to one where such values only exist at fixed, predefined points in time
(i.e. every second).
Going on, we now have a signal that consists of repeated snapshots of the originating signal where each value
can still be considered as continuous
//To see how sampling works, we start with the sounds you make when you speak -- combinations of multiple sound waves at varying frequencies.
/*For our purposes, however, we can simplify this complexity by modeling your voice as a single
continuous sine wave, since this idealization does not affect the sampling process.
Furthermore, we can think of this sine wave as the very first input into our communication pipeline.
With the analogue signal established, we can go on and discuss the way our signal is transformed into a digital
representation.
*/
#lorem(200)
#pagebreak()
#bibliography("./bibliography.bib", style: "ieee", title: "References")
#bibliography("bibliography.bib", style: "ieee", title: "References")