A Unified Bit-to-Symbol Mapping for Generalized Constellation Modulation

Gray mapping is a well-known way to improve the performance of regular constellation modulation,but it is challenging to be applied directly for irregular alternative.To address this issue,in this paper,a unified bit-to-symbol mapping method is designed for generalized constellation modulation(i.e.,regular and irregular shaping).The objective of the proposed approach is to minimize the average bit error probability by reducing the hamming distance(HD)of symbols with larger values of pairwise error probability.Simulation results show that the conventional constellation modulation(i.e.,phase shift keying and quadrature amplitude modulation(QAM)with the proposed mapping rule yield the same performance as that of classical gray mapping.Moreover,the recently developed golden angle modulation(GAM)with the proposed mapping method is capable of providing around1 d B gain over the conventional mapping counterpart and offers comparable performance to QAM with Gray mapping.

Diversity analysis of space-time-frequency coded broadband MIMO-OFDM system with correlation across space time and frequency

For the frequency selective and time variant multiple-input multiple-output(MIMO)channel model taking into account transmitting and receiving antenna correlation,the diversity of space-time-frequency coded broadband orthogonal frequency division multiplexing(MIMO-OFDM)system is analyzed.Based on the average pairwise error probability(PEP),the design criterion of space-time-frequency code(STFC)is expanded.For a given STFC,it is found that the achievable diversity order is related to the transmitter and the receiver correlation matrix as well as the time correlation and frequency correlation matrix.The maximum available diversity of STFC over the correlation channel is Lrank(P)rank(Q)rank(RT).The space-time code and space-frequency code are special cases in our approach.Simulation results validate the findings.

Concatenated Alamouti codes using multi-level modulation and symbol mapping diversity technique

A family of space-time block codes(STBCs)for systems with even transmit antennas and any number of receive antennas is proposed.The new codeword matrix is constructed by concatenating Alamouti space-time codes to form a block diagonal matrix,and its dimension is equal to the number of transmit antennas.All Alamouti codes in the same codeword matrix have the same information;thus,full transmit diversity can be achieved over fading channels.To improve the spectral efficiency,multi-level modulations such as multi-quadrature amplitude modulation(M-QAM)are employed.The symbol mapping diversity is then exploited between transmissions of the same information from different antennas to improve the bit error rate(BER)performance.The proposed codes outperform the diagonal algebraic space-time(DAST)codes presented by Damen[Damen et al.IEEE Transactions on Information Theory,2002,48(3):628–636]when they have the same spectral efficiency.Also,they outperform the 1/2-rate codes from complex orthogonal design.Moreover,compared to DAST codes,the proposed codes have a low decoding complexity because we only need to perform linear processing to achieve single-symbol maximum-likelihood(ML)decoding.