Adaptive channel equalization without a training sequence is known as blind equalization [1]-[11]. Consider a complex baseband model with a channel impulse response of cn. The channel input, additive white Gaussian noise, and equalizer input are denoted by sn, wn and un, respectively, as shown in Fig. 1. The transmitted data symbols, sn, are assumed to consist of stationary independently and id...

In the title complex, [Sn(C(7)H(6)F)(2)(C(8)H(5)N(2)S(3))(2)], including the weak Sn-N inter-actions, the Sn(IV) atom is situated in a distorted trans-octa-hedral geometry, and the equatorial plane is defined by two chelating 4-phenyl-5-sulfanyl-idene-4,5-dihydro-1,3,4-thio-diazole-2-thiol-ate ligands. The apical positions are occupied by two C atoms of 4-fluoro-benzyl groups.

In the title compound, [Sn(4)(CH(3))(8)(C(8)H(9)O(2))(2)Cl(2)O(2)], the tetra-nuclear complex mol-ecule has crystallographically imposed inversion symmetry. The coordination polyhedron about the two central Sn atoms is distorted trigonal-bipyramidal, whilst the two peripheral metal atoms bonded to the carboxyl-ate groups have a distorted octa-hedral coordination geometry. In the crystal, mol-ec...

In the title salt, (C(13)H(14)NO(2))[Sn(C(10)H(6)NO(2))Cl(4)], the Sn(IV) cation is N,O-chelated by the quinolincarboxyl-ate unit and further coordinated by four Cl(-) anions in a distorted octa-hedral geometry. In the crystal, the 2-[(propan-2-yl-oxy)-carbon-yl]quinolin-1-ium cation is linked to the Sn complex anion by an N-H⋯O hydrogen bond.

In the title compound, [Sn(C(6)H(5))(2)(C(18)H(12)N(2)O(3))], the Sn(IV) atom has a distorted trigonal-bipyramidal geometry. The Schiff base mol-ecule is coordinated to the Sn(IV) atom in a tridentate fashion via the azomethine N atom, the hydr-oxy O atom and the carbonyl O atom. The complex involves an intra-molecular O-H⋯N hydrogen bond.

The Unified Medical Language System's (UMLS's) Semantic Network (SN) provides an important conceptual abstraction that helps orient users to the vast knowledge content of its Metathesaurus. However, the SN is itself large and complex, and can also benefit from an additional abstract view of its own. In this paper, we present a metaschema that serves such a purpose. This metaschema is derived fr...

In the title complex, [Sn(C(6)H(5))(3)(C(8)H(5)N(2)O(6))(CH(3)OH)], the Sn(IV) ion is coordinated in a slightly distorted trigonal-bipyramidal geometry by three phenyl ligands in the equatorial plane and by a 2-methyl-3,5-dinitro-benzene-carboxyl-ato ligand and a methanol ligand at the apical sites. In the crystal, complex mol-ecules are linked via inter-molecular O-H⋯O hydrogen bonds, forming ...

We apply Hardy-Littlewood’s Tauberian theorem to obtain an estimate on the harmonic expansion of a complex measure on the unit sphere, using a monotonicity property for positive harmonic functions. Let Bn = {x ∈ Rn : |x| < 1}, n ≥ 2 be the unit ball in Rn and Sn−1 = ∂Bn be the unit sphere. From a monotonicity property, we obtain a precise asymptotic for the spherical harmonic expansion of a com...

To each complex number λ is associated a representation πλ of the conformal group SO0(1, n) on C∞(Sn−1) (spherical principal series). For three values λ1, λ2, λ3, we construct a trilinear form on C∞(Sn−1)×C∞(Sn−1)×C∞(Sn−1), which is invariant by πλ1 ⊗πλ2 ⊗ πλ3 . The trilinear form, first defined for (λ1, λ2, λ3) in an open set of C is extended meromorphically, with simple poles located in an ex...

The asymmetric unit of the title complex, [Sn(CH(3))(2)(C(6)H(7)N(2)S)(2)], contains two independent mol-ecules with similar configurations. In each, the Sn(IV) cation is coordinated by two methyl and two 4,6-dimethyl-pyrimidine-2-thiol-ate anions in a distorted SnS(2)C(2) tetra-hedral geometry. In the two mol-ecules, the S-Sn-S bond angles are 87.70 (5) and 88.93 (4)°, while the C-Sn-C bond an...