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In order to design energy efficient and energy harvesting (EEH) cooperative spectrum sensing (EEH-CSS), four fundamental constraints must be considered: 1) collision constraint to protect primary users from the collision with secondary users (SUs); 2) energy-causality constraint which states that the energy harvested by a time instant must be greater than or equal to the consumed energy until that time instant; 3) energy half-duplex (EHD) constraint which prevents the batteries from charging and discharging at the same time; and 4) correlation constraint which limits the information about the primary channel (PC) state of next time slot can be extracted from the current PC state. In this regard, we consider a hybrid energy harvesting SU (EH-SU) model which can harvest energy from both renewable sources, e.g., solar and ambient radio frequency signals. A heterogeneous EEH-CSS scheme is first proposed to …