Open AccessApproximating the standard condition number for cognitive radio spectrum sensing with finite number of sensors
Author(s) -
Kobeissi Hussein,
Nafkha Amor,
Nasser Youssef,
Louët Yves,
Bazzi Oussama
Publication year - 2017
Publication title -
iet signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.384
H-Index - 42
eISSN - 1751-9683
pISSN - 1751-9675
DOI - 10.1049/iet-spr.2016.0146
Subject(s) - cognitive radio , spectrum (functional analysis) , computer science , mathematics , algorithm , telecommunications , physics , wireless , quantum mechanics
In this study, the authors consider the standard condition number (SCN) detector for a cognitive radio with finite number of cooperative sensors. They derive an exact nested form of the distribution of the SCN for the central uncorrelated, non‐central uncorrelated and central semi‐correlated Wishart matrices underH 0 andH 1 hypotheses. Due to the complexity of these expressions, the authors approximate the distribution of the SCN by the generalised extreme value distribution using moment matching. They derive the exact form of the p th moment of the SCN for these cases. Consequently, the performance probabilities are approximated and a simple decision threshold formula is provided. In addition, a similar approximation for the detection probability is provided using non‐central/central approximation. They show that the proposed analytical approximations provide high accuracy using Monte‐Carlo simulations.