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This paper deals with the challenging problem of spectrum sensing incognitive radio. We consider a stochastic system model where the the PrimaryUser (PU) transmits a periodic signal over fading channels. The effect offrequency offsets due to oscillator mismatch, and Doppler offset is studied. Weshow that for this case the Likelihood Ratio Test (LRT) cannot be evaluatedpoitnwise. We present a novel approach to approximate the marginilisation ofthe frequency offset using a single point estimate. This is obtained via a lowcomplexity Constrained Adaptive Notch Filter (CANF) to estimate the frequencyoffset. Performance is evaluated via numerical simulations and it is shown thatthe proposed spectrum sensing scheme can achieve the same performance as thenear-optimal scheme, that is based on a bank of matched filters, using only afraction of the complexity required.

Blind Spectrum Sensing in Cognitive Radio over Fading Channels and Frequency Offsets