commit 0d0d896a671e7cf5052e3402543a462ae90659a8
Author: Martin Kloeckner <mjkloeckner@gmail.com>
Date: Sun, 14 Sep 2025 13:54:39 -0300
first commit
Diffstat:
20 files changed, 970 insertions(+), 0 deletions(-)
diff --git a/tp/data/cancion1.wav b/tp/data/cancion1.wav
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diff --git a/tp/data/cancion2.wav b/tp/data/cancion2.wav
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diff --git a/tp/data/respuesta_impulso_1.txt b/tp/data/respuesta_impulso_1.txt
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diff --git a/tp/data/respuesta_impulso_2.txt b/tp/data/respuesta_impulso_2.txt
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diff --git a/tp/graph_data.py b/tp/graph_data.py
@@ -0,0 +1,37 @@
+import matplotlib.pyplot as plt
+from matplotlib.ticker import MultipleLocator
+from matplotlib.ticker import MaxNLocator
+import matplotlib
+import numpy as np
+
+matplotlib.rcParams['font.family'] = 'Times New Roman'
+matplotlib.use("TkAgg")
+
+def graph_data(x, y, t=0, dt=0, a=0, da=0, y_min=0, y_max=0, show=True):
+ figure, axis = plt.subplots(figsize=(10, 8))
+
+ axis.plot(x, y, label='Señal de Audio')
+ axis.set(xlabel='Tiempo [s]', ylabel='Amplitud normalizada')
+
+ axis.minorticks_on()
+ axis.grid(True, which='major', linestyle='-')
+ axis.grid(True, which='minor', linestyle=':', linewidth=0.5)
+
+ # configuracion de ticks del eje x
+ axis.xaxis.set_major_locator(MaxNLocator(nbins=18)) # ~18 ticks por plot
+ axis.xaxis.set_minor_locator(MaxNLocator(nbins=72))
+
+ axis.set_xlim([t, t+dt if dt > 0 else x[-1]])
+ axis.set_ylim([y_min if y_min != 0 else axis.get_ylim()[0],
+ y_max if y_max != 0 else axis.get_ylim()[1]])
+
+ # resaltado de parte de la señal (solo si a != 0)
+ axis.axvspan(a, a+da, color='skyblue',
+ alpha=0 if a == 0 else 0.50,
+ label=f"Un periodo T={da}s" if da != 0 else "")
+ axis.legend()
+
+ if show:
+ plt.show()
+
+ return figure, axis
diff --git a/tp/informe/informe.md b/tp/informe/informe.md
@@ -0,0 +1,139 @@
+# Trabajo Práctico
+
+Señales y sistemas (TB065) - FIUBA
+Martin Klöckner - [mklockner@fi.uba.ar](mailto:mklockner@fi.uba.ar)
+
+<!-- \vspace{-1.25em} -->
+<!-- \rule{\linewidth}{0.5pt} -->
+<!-- \vspace{-1.25em} -->
+
+En el presente trabajo se realiza un análisis visual en el dominio temporal de
+dos señales musicales. Para realizar el análisis se utiliza un script de python
+para graficar en principio las señales completas y luego porciones de ambas en
+busca de intervalos particulares. Por ultimo se analiza el comportamiento de las
+señales al aplicarse dos filtros diferentes, teniendo solo la respuesta al
+impulso de los filtros.
+
+## Primer muestra
+
+Para la primer muestra (archivo `cancion1.wav`) se realiza el gráfico de la
+misma en el dominio temporal, el resultado se muestra en la figura 1.
+
+La frecuencia de muestreo de la misma es 44100 Hz, esto se obtiene del mismo
+script utilizado para graficar el archivo.
+
+\begin{figure}[H]
+ \centering
+ \hspace*{-1mm}
+ \includegraphics[width=\linewidth]{../plot/cancion1.png}
+ \caption{Gráfico de archivo 'cancion1.wav'}
+\end{figure}
+
+### Secciones cuasi-periódicas
+
+Cuando la señal tiene una estructura repetitiva, pero con variaciones en
+amplitud, fase o frecuencia se dice que la señal es cuasi-periódica.
+
+Realizando un análisis visual en detalle de la muestra se buscan partes donde se
+comporte como tal, dos ejemplos se dan en las figuras 2 y 3. En la primera se
+gráfica el intervalo $0.248$ s y $0.256$ s, mientras que en la segunda se
+gráfica el intervalo $0.520$ s a $0.528$ s.
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion1_0_248s_a_0_256s.png}
+\caption{Sección cuasi-periódica archivo 'cancion.wav'}
+\end{figure}
+
+Dentro de los intervalos cuasi-periódicos graficados, se pueden detectar
+visualmente los períodos fundamentales $T0$, los cuales se ven resaltados en
+color celeste claro.
+
+Curiosamente en ambos casos el período es igual y resulta $T=0.003$ s,
+lo cual corresponde con una frecuencia de aproximadamente $333$ Hz. Comparando
+con notas musicales de tabla esto se asemeja a una nota *E4*, la cual tiene una
+frecuencia de $329.228$ Hz.
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion1_0_52s_a_0_528s.png}
+\caption{Sección cuasi-periódica archivo 'cancion.wav'}
+\end{figure}
+
+## Segunda muestra
+
+De manera análoga a lo realizado para la primer muestra (archivo
+`cancion1.wav`) se realiza para la segunda muestra (archivo `cancion2.wav`).
+
+Utilizando el mismo script de python se gráfica la señal en el dominio temporal,
+en este caso se gráfica a partir del segundo 6 ya que antes de esto la señal
+tiene amplitud nula, el gráfico en cuestión se muestra en la figura 4.
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion2_6s.png}
+\caption{Gráfico de archivo 'cancion2.wav'}
+\end{figure}
+
+La frecuencia fundamental de esta segunda muestra resulta $48000$ Hz, esto
+también se obtiene del script.
+
+### Secciones no-periódicas
+
+A diferencia del análisis realizado sobre la primer muestra en busca de
+secciones cuasi-periódicas, para esta segunda muestra se buscan secciones no
+periódicas, esto es, secciones donde la señal no tiene un patron repetitivo
+marcado.
+
+Se grafican dos intervalos en los cuales la señal de muestra se comporta como
+tal, el intervalo de $14.72$s a $14.73$s y el intervalo $26.57$s a $26.58$s,
+ambos intervalos se muestran en las figura 5 y 6 respectivamente. Dado que las
+secciones son no periódicas, no se puede hablar de una frecuencia fundamental
+como si se podía en las secciones cuasi-periódicas en la primer muestra.
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion2_14_72s_a_14_73s.png}
+\caption{Sección no periódica archivo 'cancion2.wav'}
+\end{figure}
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion2_26_57s_a_26_58s.png}
+\caption{Sección no periódica archivo 'cancion2.wav'}
+\end{figure}
+
+<!--
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion1_filter1_output.png}
+\caption{Representación gráfica de grafos}
+\end{figure}
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion1_filter2_output.png}
+\caption{Representación gráfica de grafos}
+\end{figure}
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion2_6s_filter1_output.png}
+\caption{Representación gráfica de grafos}
+\end{figure}
+
+\begin{figure}[H]
+\centering
+\hspace*{-1mm}
+\includegraphics[width=\linewidth]{../plot/cancion2_6s_filter2_output.png}
+\caption{Representación gráfica de grafos}
+\end{figure}
+-->
diff --git a/tp/informe/informe.pdf b/tp/informe/informe.pdf
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diff --git a/tp/informe/style.tex b/tp/informe/style.tex
@@ -0,0 +1,250 @@
+% \documentclass[14pt]{extarticle}
+
+% page setup
+% \usepackage[a4paper,
+% top=2.5cm,
+% bottom=2.5cm,
+% left=2.00cm,
+% right=2.00cm,
+% bmargin=2.50cm]{geometry}
+\usepackage[a4paper,
+ top=3.00cm,
+ bottom=3.00cm,
+ left=2.20cm,
+ right=2.20cm,
+ bmargin=2.50cm]{geometry}
+
+\usepackage{titlesec}
+\usepackage{fontspec}
+\setmainfont{Helvetica}
+
+% right pointing hand
+\usepackage{utfsym}
+
+% make pictures caption font bold and small
+\usepackage[font={small}]{caption}
+\usepackage{subcaption}
+
+% inline code (backticks in md)
+\linespread{1.10}
+\definecolor{bgcolor}{HTML}{e0e0e0}
+\let\oldtexttt\texttt
+
+\renewcommand{\texttt}[1]{
+ \colorbox{bgcolor}{\oldtexttt{#1}}
+}
+
+% change boldfont bold to extrabold
+% \setmainfont[
+% BoldFont={Inter-ExtraBold}
+% ]{Inter}
+
+% change regular font to light font
+% \setmainfont{Inter light}
+
+\newfontfamily\titlefont{Inter}[
+UprightFont = *-Regular,
+BoldFont = *-ExtraBold,
+Scale = 0.90
+]
+
+\newfontfamily\sectionsfont{Inter}[
+UprightFont = *-Regular,
+BoldFont = *-Bold,
+]
+
+\setmathfont[Scale=1.05]{Fira Math}
+
+\usepackage{xcolor}
+\definecolor{ugrey}{HTML}{333333}
+
+\titleformat{\section}
+{\color{ugrey}\titlefont\Large\bfseries}
+{\color{ugrey}}
+{0em}
+{}
+
+\titleformat{\subsection}
+{\color{ugrey}\sectionsfont\large\bfseries}
+{\color{ugrey}}
+{0em}
+{}
+
+\titleformat{\subsubsection}
+{\color{ugrey}\sectionsfont\bfseries}
+{\color{ugrey}}
+{0em}
+{}
+
+\titleformat{\paragraph}
+{\color{ugrey}\sectionsfont\bfseries}
+{\color{ugrey}\theparagraph}
+{0em}
+{}
+
+\titleformat{\subparagraph}
+{\color{ugrey}\normalfont\bfseries}
+{\color{ugrey}\theparagraph}
+{0em}
+{}
+
+% spacing: how to read {12pt plus 4pt minus 2pt}
+% 12pt is what we would like the spacing to be
+% plus 4pt means that TeX can stretch it by at most 4pt
+% minus 2pt means that TeX can shrink it by at most 2pt
+%
+% \titlespacing{command}{left spacing}{before spacing}{after spacing}[right]
+
+\titlespacing*{\section}
+{0pt}{2ex plus 1ex minus .2ex}{1.75ex plus .2ex}
+
+\titlespacing*{\subsection}
+{0pt}{1.75ex plus 1ex minus .2ex}{1.5ex plus .2ex}
+
+\titlespacing*{\subsubsection}
+{0pt}{1.5ex plus 1ex minus .2ex}{1.25ex plus .2ex}
+
+\titlespacing*{\paragraph}
+{0pt}{1.5ex plus 1ex minus .2ex}{1.0ex plus .2ex}
+
+\titlespacing*{\subparagraph}
+{0pt}{1.25ex plus 1ex minus .2ex}{1.0ex plus .2ex}
+
+% spacing between formulas and text
+% \usepackage[nodisplayskipstretch]{setspace}
+% \setstretch{1.20}
+
+\setlength{\abovedisplayskip}{0pt}
+\setlength{\belowdisplayskip}{0pt}
+
+\setlength{\abovedisplayshortskip}{0pt}
+\setlength{\belowdisplayshortskip}{0pt}
+
+\setlength{\belowdisplayshortskip}{\belowdisplayskip}
+
+\setlength{\baselineskip}{0pt}
+
+% \usepackage{setspace}
+% \setstretch{1.25}
+
+\usepackage{caption}
+% \captionsetup{font=normalsize, font=bf, labelfont=bf}
+\captionsetup[sub]{font=small,labelfont=md}
+
+\renewcommand\thesubfigure{\arabic{subfigure}}
+
+\renewcommand{\figurename}{Figura}
+\renewcommand{\tablename}{Tabla}
+
+% \renewcommand{\contentsname}{Índice}
+\renewcommand\contentsname{\vspace*{-45pt}}
+
+% TOC dots separation
+% \renewcommand{\cftdotsep}{10}
+
+% \setlength{\cftsecindent}{0pt}% Remove indent for \section
+% \setlength{\cftsubsecindent}{5pt}% Remove indent for \subsection
+% \setlength{\cftsubsubsecindent}{0pt}% Remove indent for \subsubsec
+
+\setcounter{tocdepth}{4}
+
+\usepackage{titling}
+\renewcommand{\maketitle}{
+ \begin{flushleft}
+ {\bfseries\Huge\thetitle}
+ % \vspace{1mm}
+ \end{flushleft}
+ % \thispagestyle{empty}
+}
+
+% remove the page number from all the pages that the TOC occupies
+% \addtocontents{toc}{\protect\thispagestyle{empty}}
+
+% add page break after TOC set it to page number 1
+\let\oldtableofcontents\tableofcontents % remember the definition
+\renewcommand\tableofcontents{
+ \oldtableofcontents % use the standard toc
+ \thispagestyle{empty}
+ \pagebreak
+ \setcounter{page}{1}
+}
+
+% Set text color for all document
+% \color{ugrey}
+
+\usepackage[titles]{tocloft}
+\renewcommand{\cftdotsep}{1.5}
+\renewcommand{\cftsetpnumwidth}{1.5}
+\renewcommand{\cftsetrmarg}{1.5}
+
+\usepackage{float}
+% \makeatletter
+% \def\fps@figure{H}
+% \makeatother
+
+% nicer chemical figures
+\usepackage{chemfig}
+
+% change style of quote, see also https://tex.stackexchange.com/a/436253/114857
+\usepackage[most]{tcolorbox}
+
+\definecolor{linequote}{RGB}{224,215,188}
+\definecolor{bordercolor}{RGB}{221,221,221}
+% \definecolor{backquote}{RGB}{249,245,233}
+\definecolor{backquote}{RGB}{245,245,245}
+
+% change left border: https://tex.stackexchange.com/a/475716/114857
+% change left margin: https://tex.stackexchange.com/a/457936/114857
+\newtcolorbox{myquote}[1][]{%
+ enhanced,
+ breakable,
+ size=minimal,
+ left=0pt,
+ top=12pt,
+ bottom=12pt,
+ right=12pt,
+ boxrule=1pt,
+ sharp corners=all,
+ colback=backquote,
+ colframe=black,
+ #1}
+
+% redefine quote environment to use the myquote environment, see
+% https://tex.stackexchange.com/a/337587/114857
+\renewenvironment{quote}{\begin{myquote}}{\end{myquote}}
+
+% better fractions
+\usepackage{nicefrac,xfrac}
+
+% surround footnotes number with square brackets and always use numbers (even
+% inside quoted text)
+% https://www.overleaf.com/learn/latex/Footnotes
+\renewcommand*{\thefootnote}{\ [\arabic{footnote}]\ }
+\renewcommand*{\thempfootnote}{\ [\arabic{mpfootnote}]\ }
+
+% space between text and footer
+\setlength\footskip{35pt}
+\setlength{\skip\footins}{12pt}
+
+% align first letter of all the lines in the footnotes
+\usepackage[bottomfloats,belowfloats,hang]{footmisc}
+\setlength{\footnotemargin}{1em}
+
+\newcommand{\unit}[2]{\nicefrac{#1}{#2}}
+
+\usepackage{enumitem}
+\usepackage{amsfonts}
+
+\setlist[itemize,1]{label=$\bullet$}
+\setlist[itemize,2]{label=$\textopenbullet$}
+
+\usepackage{tabularx}
+\usepackage{multirow} % Required for multirows
+\usepackage{colortbl}
+
+% Reduce space around displayed equations safely
+\makeatletter
+\setlength{\jot}{8pt} % valor por defecto es 3pt aproximadamente
+\makeatother
+
+\setlength{\columnsep}{12pt}
diff --git a/tp/main.py b/tp/main.py
@@ -0,0 +1,58 @@
+import matplotlib.pyplot as plt
+import numpy as np
+from scipy.io import wavfile
+from utils import plot, save_plot
+
+file1_path = 'data/cancion1.wav'
+file2_path = 'data/cancion2.wav'
+filter1_h_file_path = 'data/respuesta_impulso_1.txt'
+filter2_h_file_path = 'data/respuesta_impulso_2.txt'
+
+file1_fs, file1_data = wavfile.read(file1_path)
+file2_fs, file2_data = wavfile.read(file2_path)
+
+filter1_h = np.loadtxt(filter1_h_file_path)
+filter2_h = np.loadtxt(filter2_h_file_path)
+
+# 'cancion1'
+print(f'"{file1_path}", {file1_fs} Hz')
+
+## grafico completo
+plot(file1_fs, file1_data, file1_path)
+
+## porciones cuasi-periodicas 'cancion1'
+plot(file1_fs, file1_data, file1_path,
+ t_start=0.248, t_width=0.008, a=0.24978, da=0.003)
+
+plot(file1_fs, file1_data, file1_path,
+ t_start=0.520, t_width=0.008, a=0.5208, da=0.003)
+
+## salida de filtro 'cancion1'
+file1_filter1_output = np.convolve(file1_data, filter1_h, mode='full')
+file1_filter2_output = np.convolve(file1_data, filter2_h, mode='full')
+
+fig, ax = plot(file1_fs, file1_filter1_output)
+save_plot(fig, file1_path, extra_name="_filter1_output")
+
+fig, ax = plot(file1_fs, file1_filter2_output)
+save_plot(fig, file1_path, extra_name="_filter2_output")
+
+# 'cancion2'
+print(f'"{file2_path}", {file2_fs} Hz')
+
+## grafico completo
+plot(file2_fs, file2_data, file2_path, t_start=6)
+
+## porciones cuasi-periodicas 'cancion2'
+plot(file2_fs, file2_data, file2_path, t_start=14.720, t_width=0.01)
+plot(file2_fs, file2_data, file2_path, t_start=26.570, t_width=0.01)
+
+## salida de filtro 'cancion2'
+file2_filter1_output = np.convolve(file2_data, filter1_h, mode='full')
+file2_filter2_output = np.convolve(file2_data, filter2_h, mode='full')
+
+fig, ax = plot(file2_fs, file2_filter1_output, t_start=6)
+save_plot(fig, file2_path, t_start=6, extra_name="_filter1_output")
+
+fig, ax = plot(file2_fs, file2_filter2_output, t_start=6)
+save_plot(fig, file2_path, t_start=6, extra_name="_filter2_output")
diff --git a/tp/plot/cancion1.png b/tp/plot/cancion1.png
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diff --git a/tp/plot/cancion1_0_248s_a_0_256s.png b/tp/plot/cancion1_0_248s_a_0_256s.png
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diff --git a/tp/plot/cancion1_0_52s_a_0_528s.png b/tp/plot/cancion1_0_52s_a_0_528s.png
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diff --git a/tp/plot/cancion1_filter1_output.png b/tp/plot/cancion1_filter1_output.png
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diff --git a/tp/plot/cancion1_filter2_output.png b/tp/plot/cancion1_filter2_output.png
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diff --git a/tp/plot/cancion2_14_72s_a_14_73s.png b/tp/plot/cancion2_14_72s_a_14_73s.png
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diff --git a/tp/plot/cancion2_26_57s_a_26_58s.png b/tp/plot/cancion2_26_57s_a_26_58s.png
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diff --git a/tp/plot/cancion2_6s.png b/tp/plot/cancion2_6s.png
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diff --git a/tp/plot/cancion2_6s_filter1_output.png b/tp/plot/cancion2_6s_filter1_output.png
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diff --git a/tp/plot/cancion2_6s_filter2_output.png b/tp/plot/cancion2_6s_filter2_output.png
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diff --git a/tp/utils.py b/tp/utils.py
@@ -0,0 +1,84 @@
+import matplotlib.pyplot as plt
+from matplotlib.ticker import AutoMinorLocator
+from matplotlib.ticker import MultipleLocator
+from matplotlib.ticker import MaxNLocator
+from matplotlib.ticker import FuncFormatter
+
+import matplotlib
+import numpy as np
+import os
+
+plot_dir_name = 'plot'
+
+matplotlib.rcParams['font.family'] = 'Inter'
+matplotlib.rcParams['font.size'] = 12
+matplotlib.use("TkAgg")
+
+def ticks_label_format(x, pos):
+ # 3 decimals, strip trailing zeros
+ return f"{x:.3f}".rstrip("0").rstrip(".")
+
+def graph_data(x, y, t=0, dt=0, a=0, da=0, y_min=0, y_max=0, show=True):
+ figure, axis = plt.subplots(figsize=(5, 5))
+
+ axis.plot(x, y, label='Señal de Audio')
+ axis.set(xlabel='Tiempo [s]', ylabel='Amplitud normalizada')
+
+ axis.minorticks_on()
+ axis.grid(True, which='major', linestyle='-', linewidth=0.50)
+ axis.grid(True, which='minor', linestyle=':', linewidth=0.50)
+
+ # configuracion de ticks del eje x
+ axis.xaxis.set_major_locator(MaxNLocator(nbins=5))
+ axis.xaxis.set_minor_locator(AutoMinorLocator(4)) # 2 subdivisions between majors
+
+ plt.tight_layout()
+
+ # max 3 decimals
+ axis.xaxis.set_major_formatter(FuncFormatter(ticks_label_format))
+
+ axis.set_xlim([t, t+dt if dt > 0 else x[-1]])
+ axis.set_ylim(-1.1, 1.1)
+
+ # resaltado de parte de la señal (solo si a != 0)
+ axis.axvspan(a, a+da, color='skyblue',
+ alpha=0 if a == 0 else 0.50,
+ label=f"Un periodo T={da}s" if da != 0 else "")
+ axis.legend()
+
+ if show:
+ plt.show()
+
+ return figure, axis
+
+def plot(fs, data, file_path="", t_start=0, t_width=0, a=0, da=0):
+ # normaliza la amplitud dividiendo por el valor maximo del tipo de dato
+ data = data.astype(np.float32)
+ data /= np.max(np.abs(data))
+
+ t = np.arange(len(data)) / fs
+ fig, ax = graph_data(t, data, t=t_start, dt=t_width, a=a, da=da, show=False)
+
+ if file_path != "":
+ save_plot(fig, file_path, t_start=t_start, t_width=t_width)
+
+ return fig, ax
+
+def save_plot(fig, src_file_path, t_start=0, t_width=0, extra_name=''):
+ basename = os.path.basename(src_file_path)
+ file_name, ext = os.path.splitext(basename)
+ fig_file_name = f'{plot_dir_name}/{file_name}'
+
+ if t_start != 0:
+ fig_name_append_1 = f'_{t_start}s'
+ fig_name_append_2 = f'_a_{round(t_start + t_width, 3)}s' if t_width != 0 else ''
+ fig_file_name += fig_name_append_1.replace('.', '_')
+ fig_file_name += fig_name_append_2.replace('.', '_')
+
+ fig_file_name += extra_name
+
+ print(f'- "{fig_file_name}.png"')
+
+ # crea carpeta para plots
+ os.makedirs(plot_dir_name, exist_ok=True)
+ fig.savefig(fig_file_name, dpi=300, bbox_inches="tight")
