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\begin{document}

\title{Joint Detection Algorithm for Multiple Cognitive Users in Spectrum
Sensing}



\author[1]{Fanfei Meng }%
\author[2]{Lele Zhang }%
\author[2]{Yuxin Wang }%
\author[2]{Yingxin Zhao }%
\affil[1]{Northwestern University}%
\affil[2]{Affiliation not available}%


\vspace{-1em}



  
  \date{June 13, 2024}


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\begin{abstract}
Spectrum sensing technology is a crucial aspect of modern communication
technology, serving as one of the essential techniques for efficiently
utilizing scarce information resources in tight frequency bands. This
paper first introduces three common logical circuit decision criteria in
hard decisions and analyzes their decision rigor. Building upon hard
decisions, the paper further introduces a method for multi-user spectrum
sensing based on soft decisions. Then the paper simulates the false
alarm probability and detection probability curves corresponding to the
three criteria. The simulated results of multi-user collaborative
sensing indicate that the simulation process significantly reduces false
alarm probability and enhances detection probability. This approach
effectively detects spectrum resources unoccupied during idle periods,
leveraging the concept of time-division multiplexing and rationalizing
the redistribution of information resources. The entire computation
process relies on the calculation principles of power spectral density
in communication theory, involving threshold decision detection for
noise power and the sum of noise and signal power. It provides a
secondary decision detection, reflecting the perceptual decision
performance of logical detection methods with relative accuracy.%
\end{abstract}%



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