No-zero-entry full diversity space-time block codes with linear receivers

In MIMO systems, Toeplitz codes, overlapped Alamouti codes (OACs), and embedded Alamouti codes (EACs) can achieve full diversity when linear receivers are used. However, these codes have a large number of zero entries in their codeword matrix. Due to the zero entries in the design, the peak-to-average power ratio (PAPR) is high, and the transmitting antennas need to be switched on and off imposing severe hardware constrains. To solve this problem, in this paper, we propose a design scheme for no-zero-entry full diversity space-time block codes (NZE-STBCs). New no-zero-entry Toeplitz codes (called NZE-TCs) are designed first, and are then combined/overlaid with orthogonal space-time block code, Alamotui code, to construct no-zero-entry overlapped Alamouti codes (NZE-OACs) and no-zero-entry embedding Alamouti codes (NZE-EACs). The full diversity properties of proposed NZE-TCs, NZE-OACs, and NZE-EACs with linear receiver are derived. Simulation results show that our proposed codes outperform the Toeplitz codes, OACs, and EACs under peak power constraint, while performing the same under average power constraint.