This article presents a spectrum sensing algorithm for wideband cognitive radio exploiting sensed spectrum\r\ndiscontinuity properties. Some work has already been investigated by wavelet approach by Giannakis et al., but in\r\nthis article we investigate an algebraic framework in order to model spectrum discontinuities. The information\r\nderived at the level of these irregularities will be exploited in order to derive a spectrum sensing algorithm. The\r\nnumerical simulation show satisfying results in terms of detection performance and receiver operating\r\ncharacteristics curves as the detector takes into account noise annihilation in its inner structure.
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