Low-Complexity Decoding Scheme for $1\times K$ Differential Space-Time Line Coded System With $M$-PSK Modulation

Jingon Joung, Chau Yuen · IEEE Transactions on Vehicular Technology · 2025

This study considers a$1\times K$differential space-time line coded system with one transmit antenna and$K$receive antennas. A conventional joint maximum likelihood (ML) detection method requires a computational complexity order of$\mathcal {O}(KM^{2})$for the$M$-phase-shift keying symbols. By decomposing the joint ML into two individual ML detections and bounding the$M$search constellation points by three regardless of modulation size, the proposed bounded ML detection can significantly reduce computational complexity to$\mathcal {O}(K)$. The numerical results verify that the complexity reduction of the proposed detection method can be obtained without compromising any bit-error-rate performance.

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