The presence of the Line-Of-Sight (LOS) component will increase the condition number of the multi antenna channel matrix, and severely reduce detection performance of the synchronous multi-carrier layered space-time code. As a remedy to this problem, a multi-carrier layered space-time architecture is proposed based on the asynchronous transmission of each antennas signal in frequency domain. Closed-form Bit Error Rate (BER) expressions of the Zero Forcing (ZF) joint detection for a Ricean fading channel is derived for both coded and uncoded modulation. Comparisons are also made with those obtained in a traditional synchronous system. The theoretical analysis and simulation results show that the asynchronous multi-carrier transmission scheme can break through the antenna number limitation of synchronous multi-carrier layered space-time code system, while achieving full receive diversity with low complexity linear detector.