So far, various methods for extracting wave energy have been developed. However, most of these methods have low efficiency in shallow waters and for the small wave amplitude. The mud of the seabed is able to absorb a significant portion of wave energy in different wave lengths. In this paper inspired by this natural characteristic, the idea of a new wave energy converter with the ability to work with high efficiency in shallow water is proposed. If close to the coast, the sea floor is covered by the converter, a significant proportion of wave energy can be absorbed. The main component of this carpet of wave energy converter (CWEC) is a flexible and visco-elastic plate. In this paper, first, by using an analytical modeling, wave energy absorption capability in different sea states of Persian Gulf was considered and compared with other wave energy converters. Further investigations revealed that because of the high efficiency of this converter in shallow waters, it can be suitable for application in the Persian Gulf. Then, the new idea of using piezoelectric elements in the CWEC device was designed to increase its efficiency. The results show that the piezoelectric combined with CWEC could significantly increase the efficiency of this energy converter device.