Improved space-time trellis codes with three and four transmit antennas

Abstract

It has been shown that the rank and the determinant of the distance matrices are the design criteria for spacetime trellis codes over quasi-static Rayleigh fading channels. Recently, a new design criterion that maximires only the trace has been proposed for systems with a large product of the numbers of transmit and receive antennas. This criterion is usefir[ and yields superior codes when the product of the numbers of receive and transmit antennas is at least 4. In this paper, new QPSK space-time trellis codes for 3 and 4 transmit antennas with up to 1024 states will he presented. Our 64-state codes for 3 and 4 transmit antennas present a larger trace andprovide a better errorperjbimance than previously published codes with the same number of states. Ifa smaller error probability is required, afirrther improvement can he achieved by increasing the number of states at the expense of additional complexi&.

An improved method to design QPSK Balanced Space-Time Trellis Codes

“…It is easy to verify that all these codes are fully balanced. For each 4-state code given in Table 1 Table II shows some QPSK STTCs for 3 and 4 Tx antennas proposed by Chen in [8] and Bernierin [13]. In this case, fully balanced codes generate respectively the elements of 3…”

Optimal Generation of Space–Time Trellis Codes via Coset Partitioning

“…In the case of 3 and 4 transmit antennas, Chen et al used a suboptimal method in [6], [14], [15]. In [16], Bernier et al used a random search to find the best STTCs. In order to reduce the search time of the STTCs with the best performance, Yan and Blum in [17] described a method to compute efficiently the coding gain and proposed new 2-PSK and 4-PSK STTCs.…”