Initial Commit

.gitignore

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+# Created by https://www.toptal.com/developers/gitignore/api/latex,visualstudiocode
+# Edit at https://www.toptal.com/developers/gitignore?templates=latex,visualstudiocode
+
+### LaTeX ###
+## Core latex/pdflatex auxiliary files:
+*.aux
+*.lof
+*.log
+*.lot
+*.fls
+*.out
+*.toc
+*.fmt
+*.fot
+*.cb
+*.cb2
+.*.lb
+
+## Intermediate documents:
+*.dvi
+*.xdv
+*-converted-to.*
+# these rules might exclude image files for figures etc.
+# *.ps
+# *.eps
+# *.pdf
+
+## Generated if empty string is given at "Please type another file name for output:"
+.pdf
+
+## Bibliography auxiliary files (bibtex/biblatex/biber):
+*.bbl
+*.bcf
+*.blg
+*-blx.aux
+*-blx.bib
+*.run.xml
+
+## Build tool auxiliary files:
+*.fdb_latexmk
+*.synctex
+*.synctex(busy)
+*.synctex.gz
+*.synctex.gz(busy)
+*.pdfsync
+
+## Build tool directories for auxiliary files
+# latexrun
+latex.out/
+
+## Auxiliary and intermediate files from other packages:
+# algorithms
+*.alg
+*.loa
+
+# achemso
+acs-*.bib
+
+# amsthm
+*.thm
+
+# beamer
+*.nav
+*.pre
+*.snm
+*.vrb
+
+# changes
+*.soc
+
+# comment
+*.cut
+
+# cprotect
+*.cpt
+
+# elsarticle (documentclass of Elsevier journals)
+*.spl
+
+# endnotes
+*.ent
+
+# fixme
+*.lox
+
+# feynmf/feynmp
+*.mf
+*.mp
+*.t[1-9]
+*.t[1-9][0-9]
+*.tfm
+
+#(r)(e)ledmac/(r)(e)ledpar
+*.end
+*.?end
+*.[1-9]
+*.[1-9][0-9]
+*.[1-9][0-9][0-9]
+*.[1-9]R
+*.[1-9][0-9]R
+*.[1-9][0-9][0-9]R
+*.eledsec[1-9]
+*.eledsec[1-9]R
+*.eledsec[1-9][0-9]
+*.eledsec[1-9][0-9]R
+*.eledsec[1-9][0-9][0-9]
+*.eledsec[1-9][0-9][0-9]R
+
+# glossaries
+*.acn
+*.acr
+*.glg
+*.glo
+*.gls
+*.glsdefs
+*.lzo
+*.lzs
+*.slg
+*.slo
+*.sls
+
+# uncomment this for glossaries-extra (will ignore makeindex's style files!)
+# *.ist
+
+# gnuplot
+*.gnuplot
+*.table
+
+# gnuplottex
+*-gnuplottex-*
+
+# gregoriotex
+*.gaux
+*.glog
+*.gtex
+
+# htlatex
+*.4ct
+*.4tc
+*.idv
+*.lg
+*.trc
+*.xref
+
+# hyperref
+*.brf
+
+# knitr
+*-concordance.tex
+# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files
+# *.tikz
+*-tikzDictionary
+
+# listings
+*.lol
+
+# luatexja-ruby
+*.ltjruby
+
+# makeidx
+*.idx
+*.ilg
+*.ind
+
+# minitoc
+*.maf
+*.mlf
+*.mlt
+*.mtc[0-9]*
+*.slf[0-9]*
+*.slt[0-9]*
+*.stc[0-9]*
+
+# minted
+_minted*
+*.pyg
+
+# morewrites
+*.mw
+
+# newpax
+*.newpax
+
+# nomencl
+*.nlg
+*.nlo
+*.nls
+
+# pax
+*.pax
+
+# pdfpcnotes
+*.pdfpc
+
+# sagetex
+*.sagetex.sage
+*.sagetex.py
+*.sagetex.scmd
+
+# scrwfile
+*.wrt
+
+# svg
+svg-inkscape/
+
+# sympy
+*.sout
+*.sympy
+sympy-plots-for-*.tex/
+
+# pdfcomment
+*.upa
+*.upb
+
+# pythontex
+*.pytxcode
+pythontex-files-*/
+
+# tcolorbox
+*.listing
+
+# thmtools
+*.loe
+
+# TikZ & PGF
+*.dpth
+*.md5
+*.auxlock
+
+# titletoc
+*.ptc
+
+# todonotes
+*.tdo
+
+# vhistory
+*.hst
+*.ver
+
+# easy-todo
+*.lod
+
+# xcolor
+*.xcp
+
+# xmpincl
+*.xmpi
+
+# xindy
+*.xdy
+
+# xypic precompiled matrices and outlines
+*.xyc
+*.xyd
+
+# endfloat
+*.ttt
+*.fff
+
+# Latexian
+TSWLatexianTemp*
+
+## Editors:
+# WinEdt
+*.bak
+*.sav
+
+# Texpad
+.texpadtmp
+
+# LyX
+*.lyx~
+
+# Kile
+*.backup
+
+# gummi
+.*.swp
+
+# KBibTeX
+*~[0-9]*
+
+# TeXnicCenter
+*.tps
+
+# auto folder when using emacs and auctex
+./auto/*
+*.el
+
+# expex forward references with \gathertags
+*-tags.tex
+
+# standalone packages
+*.sta
+
+# Makeindex log files
+*.lpz
+
+# xwatermark package
+*.xwm
+
+# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib
+# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
+# Uncomment the next line to have this generated file ignored.
+#*Notes.bib
+
+### LaTeX Patch ###
+# LIPIcs / OASIcs
+*.vtc
+
+# glossaries
+*.glstex
+
+### VisualStudioCode ###
+.vscode/*
+!.vscode/settings.json
+!.vscode/tasks.json
+!.vscode/launch.json
+!.vscode/extensions.json
+!.vscode/*.code-snippets
+
+# Local History for Visual Studio Code
+.history/
+
+# Built Visual Studio Code Extensions
+*.vsix
+
+### VisualStudioCode Patch ###
+# Ignore all local history of files
+.history
+.ionide
+
+# End of https://www.toptal.com/developers/gitignore/api/latex,visualstudiocode
+*.pdf
+*.jpg

midterm.tex

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+\documentclass{article}
+\usepackage[utf8x]{inputenc}
+\usepackage[margin=1in]{geometry} % Adjust margins
+\usepackage{caption}
+\usepackage{wrapfig}
+\usepackage{subcaption}
+\usepackage{parskip} % dont indent after paragraphs, figures
+\usepackage{xcolor}
+%\usepackage{csquotes} % Recommended for biblatex
+\usepackage{tikz}
+\usepackage{pgfplots}
+\usetikzlibrary{positioning}
+\usepackage{float}
+\usepackage{amsmath}
+\PassOptionsToPackage{hyphens}{url}
+\usepackage{hyperref} % allows urls to follow line breaks of text
+\usepackage{glossaries}
+\usepackage[style=ieee, backend=biber, maxnames=1, minnames=1]{biblatex}
+
+
+
+
+
+\title{Analog Signal Processing \\ Midterms}
+
+\begin{document}
+\maketitle
+
+\section{1. Midterm}
+\begin{enumerate}
+    \item Find $F(x)$ given  \[ f(x) =
+        \begin{cases}
+            t-1 &, (1;2) \\
+            t &, [2;4] \\
+            -\frac{1}{2} (t-6) &, (4;6] \\
+        \end{cases}
+        \]
+    \item Define the imaginary part of the system given the real part is $ H_{Re} = 4-\omega^2 \quad ,\omega \in [-2;2]$
+    \item Define the step response of a 2nd order Filter with Bessel approximation and $3.4$ kHz cutoff frequency.
+        Determine the filter parameters.
+    \item Define the transfer function of a 4th-order band-pass Chebyshev filter with central frequency $100$ MHz, $0.2$ dB passband ripple
+        and bandwidth $5$ Mhz.
+\end{enumerate}
+\section{2. Midterm}
+\begin{enumerate}
+    \item Determine the component values and draw the implementation of a passive second-order high-pass filter in an RC configuration,
+        with the component values indicated, a cutoff frequency of $250$ Hz and a Q factor of $0.35$. Choose decade values for the capacitances.
+    \item Implement, using operational amplifiers, a fourth-order low-pass filter with the normalized transfer function
+        \[H(s) = \frac{1}{s^2 + 1.8478 \cdot s + 1} \cdot \frac{1}{s^2 + 0.7654 \cdot s + 1}\]
+        Perform element denormalization for a cutoff frequency of $12$ kHz. Choose decade values for the capacitances.
+        Draw the implementatiopn with the denormalized component values.
+    \item Implement, using transconductance amplifiers ($T= 40$\textdegree C, $U_{\text{NAP}} = \pm3.3V, U_\text{D} = 0.6$V)
+        a second-order band-pass filter with a center frequency of $1$ kHz, a pole quality factor of $0.3$ and a gain of $6$ dB.
+    \item A sporting event is being covered by a drone that produces an unwanted sound at a frequency of 366 Hz.
+        Desing the simplest filter implementation that can remove this sound from the live broadcast, with a bandwidth of $\pm 5 $ Hz.
+        Determine the transfer function and sketch the amplitude-frequency characteristic in detail.
+        In the filter implementation, use all three types of passive elements, with the reactive elements connected in parallel,
+        and the filter having no power supply.
+\end{enumerate}
+\end{document}