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Cognitive radio (CR) is a leading candidate for addressing spectrum constraints and is a key component of fifth-generation (5G) communications. For optimum usage of accessible unused spectrum, spectrum sensing is a critical aspect of CR. In spectrum sensing, various Wide Band techniques suited for 5G were investigated in this paper. The channel status, primary user condition, hardware cost, and heterogeneous nature of the broad band spectrum are used to classify different approaches. In addition applications of compressive sensing techniques over various 5G techniques were also discussed. Various wide band compressive spectrum sensing techniques were discussed. The relative merit and demerit are also discussed with their sensing performance.