Analysis of ASTC in a correlated Rayleigh fading channel with imperfect channel estimation

In this paper, we analyze the performance of an Algebraic Space Time Codes (ASTC), called the Golden code. Due to its Algebraic construction based on Quaternionic algebra, the code has a full rate, full diversity, non-vanishing constant minimum determinant for increasing spectral efficiency, uniform average transmitted energy per antenna and good shaping. In this paper, we analyze the performances of the Golden codes in correlated Rayleigh channel. We consider a coherent demodulator and we analyze the channel estimation error impact.