2012/02/01 by Koralia N. Pappi, Pappi, Koralia N., Nestor D. Chatzidiamantis +3
Computer Science · Engineering · #Advanced Wireless Communication Techniques #Advanced Wireless Communication Technologies #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1202.0298
openalex publication_date 2012/02/01 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
This is the second part of a two-part series of papers, where the error\nperformance of multidimensional lattice constellations with signal space\ndiversity (SSD) is investigated. In Part I, following a novel combinatorial\ngeometrical approach which is based on parallelotope geometry, we have\npresented an exact analytical expression and two closed-form bounds for the\nsymbol error probability (SEP) in Additive White Gaussian Noise (AWGN). In the\npresent Part II, we extend the analysis and present a novel analytical\nexpression for the Frame Error Probability (FEP) of multidimensional lattice\nconstellations over Nakagami-m fading channels. As the FEP of infinite lattice\nconstellations is lower bounded by the Sphere Lower Bound (SLB), we propose the\nSphere Upper Bound (SUB) for block fading channels. Furthermore, two novel\nbounds for the FEP of multidimensional lattice constellations over block fading\nchannels, named Multiple Sphere Lower Bound (MSLB) and Multiple Sphere Upper\nBound (MSUB), are presented. The expressions for the SLB and SUB are given in\nclosed form, while the corresponding ones for MSLB and MSUB are given in closed\nform for unitary block length. Numerical and simulation results illustrate the\ntightness of the proposed bounds and demonstrate that they can be efficiently\nused to set the performance limits on the FEP of lattice constellations of\narbitrary structure, dimension and rank.\n