Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quickest Eigenvalue-Based Spectrum Sensing using Random Matrix Theory   We investigate the potential of quickest detection based on the eigenvalues
of the sample covariance matrix for spectrum sensing applications. A simple
phase shift keying (PSK) model with additive white Gaussian noise (AWGN), with
$1$ primary user (PU) and $K$ secondary users (SUs) is considered. Under both
detection hypotheses $\mathcal{H}_0$ (noise only) and $\mathcal{H}_1$ (signal +
noise) the eigenvalues of the sample covariance matrix follow Wishart
distributions. For the case of $K = 2$ SUs, we derive an analytical formulation
of the probability density function (PDF) of the maximum-minimum eigenvalue
(MME) detector under $\mathcal{H}_1$. Utilizing results from the literature
under $\mathcal{H}_0$, we investigate two detection schemes. First, we
calculate the receiver operator characteristic (ROC) for MME block detector
based on analytical results. Second, we introduce two eigenvalue-based quickest
detection algorithms: a cumulative sum (CUSUM) algorithm, when the
signal-to-noise ratio (SNR) of the PU signal is known and an algorithm using
the generalized likelihood ratio, in case the SNR is unknown. Bounds on the
mean time to false-alarm $\tau_\text{fa}$ and the mean time to detection
$\tau_\text{d}$ are given for the CUSUM algorithm. Numerical simulations
illustrate the potential advantages of the quickest detection approach over the
block detection scheme.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg