Algebraic space-time codes with full diversity and low peak-to-mean power ratio

A new class of full diversity space-time codes is proposed that leads to a significantly smaller peak-to-mean envelope power ratio (PMEPR) compared to the recently invented diagonal algebraic space-time (DAST) and threaded algebraic space-time (TAST) codes. Moreover, the proposed "low PMEPR space-time" (LPST) codes exhibit identical performance and decoding complexity compared to the TAST codes. Additionally, unlike the TAST codes, the LPST codes meet an upper bound known as the singleton bound on the maximum achievable rate by a space-time code. The key to the construction of the LPST codes is an improved spreading scheme that outperforms the originally suggested Hadamard spreading scheme for the PMEPR reduction of DAST codes. Several properties of the LPST codes in relation to PMEPR are studied. Numerical results are presented to support the significant advantage of the proposed codes in terms of reduced PMEPR for high rate wireless communications.