This paper focuses on the performance analysis and comparison of three hard decision (HD) spectrum sensing schemes based on non-reconstruction compressed sampling. For HD based cooperative sensing, each secondary user (SU) perform compressed sampling to scan the wide spectrum and reports a local one-bit hard decision to the fusion center (FC). The difference between the proposed schemes and the traditional ones is that SU does not need to reconstruct the original signal for determining the presence of the primary user (PU). The major work of the paper is to analyze the relationship between the probability of detection (PD) and those factors, such as compressed radio, the number of SUs, the probability of false alarm (PFA) and the signal-to-noise ratio (SNR). Their relations are studied and theoretical expression of the performance for the scheme is deduced in this paper. It is shown that the theoretical detection performance of the proposed algorithm accords with the simulation results.
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