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A Cooperative Spectrum Detection Technique in Non-Gaussian ...

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where Γ(.)<br />

is the gamma function and I<br />

v<br />

(.) is the vth-order modified Bessel function of the first<br />

k<strong>in</strong>d. From (12) the false alarm probability and the detection probability of Rao detection are given<br />

by<br />

where Q a ∫ ∞ 1 1 2<br />

( ) = exp( − t ) dt<br />

a<br />

2π<br />

2<br />

P<br />

'<br />

'<br />

= P(<br />

T > γ | H ) 2Q(<br />

γ )<br />

(13)<br />

FA R<br />

0<br />

=<br />

3. Primary User <strong>Detection</strong> based on Multiuser Cooperation<br />

'<br />

'<br />

'<br />

PD = P(<br />

TR<br />

> γ | H ) = Q(<br />

γ − λ)<br />

+ Q(<br />

γ + λ)<br />

(14)<br />

A simulated model of CR networks can be described as Fig.1, where CUs (cognitive user) are<br />

random distribution, CU1, CU2 and CU3 suffer<strong>in</strong>g different shadow<strong>in</strong>g <strong>in</strong>fluence will receive weak<br />

PU signal, which may give a wrong decision. If these CUs transmit their own data on the certa<strong>in</strong><br />

spectrum paragraph, they likely affect the PU (primary user) receiver’s results, and create<br />

<strong>in</strong>terference to the PU system <strong>in</strong>evitably. CU4 and CU3 could receive the transmitter signal with<strong>in</strong><br />

the radius scope of primary transmitter's emissive power.<br />

1<br />

Figure1. <strong>Cooperative</strong> spectrum sens<strong>in</strong>g model<br />

Based on the above detection scenario, the reliability that some s<strong>in</strong>gle cognitive user, such as<br />

CU1,CU2,CU3, detect available spectrum will be low, and thus some of these CUs are selected to<br />

take part <strong>in</strong> spectrum detection at the same time, which can improve the detection performance.<br />

Figure2. Block diagram of cooperative spectrum detection based on Rao<br />

Fig.2 is the block diagram of the proposed cooperative spectrum detection based on the Rao<br />

detector, where M cognitive users take part <strong>in</strong> cooperation. Cognitive users transmit local detection<br />

results u = [ u1, u2... u M<br />

] and SNR = [ SNR1, SNR2... SNR M<br />

] to the fusion center (FC) after the estimation of<br />

ε and the Rao detection. The FC chooses the users whose SNR are larger than the average SNR<br />

286

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