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The present invention relates to a method and device to detect a spectrum by using compressed sensing algorithm. According to a first embodiment of the present invention, the spectrum sensing device includes : a signal receiving part receiving a sparse signal from an external device; a support selecting part selecting at least one subspace based on the distance from a subspace, in which the sparse signal is located, as a support indicating a row of a measurement matrix for the restoration of the sparse signal; a support management part including the selected support in a support set; and a signal restoring part estimating and restoring an original sparse signal based on the support included in the support set.(AA) Start(BB) End(S2001) Step of receiving a rare signal(S2002) Step of selecting at least one partial space as a support(S2003) Step of including the selected support in a support set(S2004) Residual signal 0?(S2005) Step of estimating an original rare signal based on the support set(S2006) Step of selecting at least one partial space as a support(S2007) Compare the selected support and the support included in the set(S2008) Step of updating the support set(S2009) Step of restoring the original rare signalCOPYRIGHT KIPO 2018