We develop an upper bound on the error probability of the reduced-complexity Group-Metric multiuser convolutional decoder [1]. This error bound results from discarding a class of redundant error sequences which are orthogonally decomposable. Indecomposable sequences for uncoded multiuser detection were introduced in [2] for the non-fading channel, and their enumeration is computationally intens...

‎this contribution mainly focuses on some aspects of lipschitz groups‎, ‎i.e.‎, ‎metrizable groups with lipschitz multiplication and inversion map‎. ‎in the main result it is proved that metric groups‎, ‎with a translation-invariant metric‎, ‎may be characterized as particular group objects in the category of metric spaces and lipschitz maps‎. ‎moreover‎, ‎up to an adjustment of the metric‎, ‎a...

a module is said to be $pi$-extending provided that every projection invariant submodule is essential in a direct summand of the module. in this paper, we focus on direct summands and indecomposable decompositions of $pi$-extending modules. to this end, we provide several counter examples including the tangent bundles of complex spheres of dimensions bigger than or equal to 5 and certain hyper ...

In this paper a theorem is derived in order to provide a wide sufficient condition for an orthogonally transitive cylindrical spacetime to be singularity-free. The applicability of the theorem is tested on examples provided by the literature that are known to have regular curvature invariants.

For ten years researchers have been attempting to construct programming language systems that support orthogonal persistence above conventional operating systems. This approach has proven to be poor; researchers invariably construct a complete abstract machine above the operating system with resulting loss of efficiency. This paper describes a new approach, the construction of an operating syst...

Polarization gratings can be realized by polarization holographic recording in photoanisotropic materials. In this paper, we study two types of polarization gratings. One is recorded with two orthogonally circularly (OC) polarized beams and the other one with two orthogonally linearly (OL) polarized beams. The interference of both cases is explored beyond the small recording angle regime. A nov...