A design of non-orthogonal 33 space-time block code (STBC) is proposed. The proposed design achieves full rate, full level diversity, and maximum coding gain by symbol rotation (SR) method. In addition, the proposed scheme has lower encoding complexity than the unitary constellation-rotation (CR) STBC, while two methods exhibit the same bit error rate (BER) performance in Rayleigh fading channel.

A differential detection Space-Time Block Code (STBC) is proposed with a high transmission rate, allowing a trade-off between diversity and multiplexing gain with low encoding and decoding complexity. The proposed method offers multiplexing gain by doubling the transmission rate for three and four transmission antennas. Computer simulations demonstrate that the proposed STBC can achieve a 5.8 dB Eb/N0 gain at BER = 10-3 compared with a conventional differential detection STBC for four transmission and two receiving antennas.

High Rate Space-Time Block Codes (HR-STBCs) with greater than 1 symbol/transmission and simple decoding schemes are proposed. The HR-STBC demonstrates 3 dB Eb/No gain at BER = 10-3 compared with the conventional STBC when three transmit antennas and two receive antennas are utilized.

We extend the differential space time block code (STBC) using nonconstant modulus constellations of two transmit antennas to four transmit antennas case. The proposed method obtains larger minimum Euclidean distances than those of conventional differential STBC with PSK constellations. We derive the symbol error rate (SER) performance of the proposed method and demonstrate the SER performance using computer simulations for both static and fast fading channels. For transmission rates greater than 2 bits/channel use and 3 bits/channel use, the proposed method outperforms the conventional differential STBC.