Abstract

This paper addresses the problem of the opportunistic spectrum access in Cognitive Radio. Indeed, most spectrum sensing algorithms suffer from a high computational cost to achieve the detection process. They need a prior knowledge of signal characteristics and present a bad performance in low Signal to Noise Ratio (SNR) environment. The choice of the optimal detection threshold is another issue for these spectrum sensing algorithms. To overcome the limits of spectrum detectors, we propose in this paper, a blind detection method based on the cyclostationary features of communication signals. Our detector evaluates the level of hidden periodicity contained in the observed signal to make decision on the state of a bandwidth. In order to reduce the computational cost, we take advantage of the FFT Accumulation Method to estimate the cyclic spectrum of the observed signal. Then, we generate the Cyclic Domain Profile of the cyclic spectrum which allows us to evaluate the level of the hidden periodicity in the signal. This level of periodicity is quantified through the crest factor of Cyclic Domain Profile, which represents the decision statistic of the proposed detector. We have established the analytic expression of the optimal threshold of the detection and the probability of detection to evaluate the performance of the proposed detector. Simulation results show that the proposed detector is able to detect the presence of a communication signal on a bandwidth in a very low SNR scenario.

Highlights

  • We have proposed a non-cooperative detection model which is able to detect the signal of primary user (PU) in low Signal to Noise Ratio (SNR) scenario

  • This cyclostationarity can be revealed through cyclic spectral analysis

  • We use the Cyclic Domain Profile (CDP) crest factor as the decision statistic to detect the state of the channel

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Summary

Cyclostationnarity

The first works on the cyclostationarity of communication signals were published in 1958 by Bennett [5] [8]. The cyclostationarity is defined as an extension of the concept of stationarity or as a special case of non-stationarity Such a signal is defined by a periodicity at order n of its statistics [29]. In the rest of this paper, we will focus on cyclostationarity in the wide sense to develop our CFD detector which only exploits the statistical properties of second order of the digital communications signal. A centered signal x (t ) is said to be second-order cyclostationary, in the wide sense, if its autocorrelation function Rx (t,Ï„ ) defined by: Rx When its autocorrelation function contains several cyclic periods (hidden periodicities) T0 ,T1,T2 , , the signal x (t ) is said to be polycyclostationary [5]. The estimation of the quantities defined by Equations (7) and (8) constitutes the cyclic spectral analysis

Cyclic Spectral Analysis
FFT Accumulation Method
Detection Modeling
Simulations and Results
Conclusion
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