\documentclass[11pt]{article}
\usepackage{amsmath}
\usepackage[margin=1in]{geometry}
\title{A Short Note on Sampling}
\author{Novus Examples}
\date{January 2026}
\begin{document}
\maketitle

\begin{abstract}
This is a sample \LaTeX{} document for testing editors, linters, and TeX-to-PDF pipelines.
\end{abstract}

\section{Introduction}
Sampling converts a continuous signal into a discrete sequence. The Nyquist theorem
requires the sampling rate $f_s$ to satisfy
\begin{equation}
  f_s > 2 f_{\max},
\end{equation}
where $f_{\max}$ is the highest frequency present in the signal.

\section{A Small Table}
\begin{tabular}{lr}
  \hline
  Rate (kHz) & Bits \\
  \hline
  44.1 & 16 \\
  48.0 & 24 \\
  96.0 & 24 \\
  \hline
\end{tabular}

\section{Conclusion}
Choose $f_s$ and bit depth to match the signal and the use case.
\end{document}
