Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error Performance of Multidimensional Lattice Constellations-Part II:
  Evaluation over Fading Channels   This is the second part of a two-part series of papers, where the error
performance of multidimensional lattice constellations with signal space
diversity (SSD) is investigated. In Part I, following a novel combinatorial
geometrical approach which is based on parallelotope geometry, we have
presented an exact analytical expression and two closed-form bounds for the
symbol error probability (SEP) in Additive White Gaussian Noise (AWGN). In the
present Part II, we extend the analysis and present a novel analytical
expression for the Frame Error Probability (FEP) of multidimensional lattice
constellations over Nakagami-m fading channels. As the FEP of infinite lattice
constellations is lower bounded by the Sphere Lower Bound (SLB), we propose the
Sphere Upper Bound (SUB) for block fading channels. Furthermore, two novel
bounds for the FEP of multidimensional lattice constellations over block fading
channels, named Multiple Sphere Lower Bound (MSLB) and Multiple Sphere Upper
Bound (MSUB), are presented. The expressions for the SLB and SUB are given in
closed form, while the corresponding ones for MSLB and MSUB are given in closed
form for unitary block length. Numerical and simulation results illustrate the
tightness of the proposed bounds and demonstrate that they can be efficiently
used to set the performance limits on the FEP of lattice constellations of
arbitrary structure, dimension and rank.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph