Title :
Signal Bandwidth Impact on Maximum-Minimum Eigenvalue Detection
Author :
Hamid, Mohamed ; Bjorsell, Niclas ; Ben Slimane, Slimane
Author_Institution :
Dept. of Electron., Univ. of Gavle, Gavle, Sweden
Abstract :
The impact of the signal bandwidth and observation bandwidth on the detection performance of the maximum-minimum eigenvalue detector is studied in this letter. The considered signals are the Gaussian signals. The optimum ratio between the signal and the observation bandwidth is analytically proven to be 0.5 when reasonable values of the system dimensionality are used. The analytical proof is verified by simulations.
Keywords :
Gaussian processes; eigenvalues and eigenfunctions; signal detection; Gaussian signals; maximum-minimum eigenvalue detection; observation bandwidth; signal bandwidth impact; Bandwidth; Covariance matrices; Eigenvalues and eigenfunctions; Gaussian noise; Sensors; Signal to noise ratio; Detection bandwidth; Marchenko Pastur densit; Marchenko Pastur density; Maximum-minimum eigenvalue detection; Occupation bandwidth; detection bandwidth; occupation bandwidth;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2014.2387287