Multiple reception antenna assisted Space Division Multiple Access (SDMA) techniques designed for wireless OFDM systems have recently drawn wide interests. These techniques facilitate the implementation of effective multi-user detection algorithms at the receiver, such as Minimum Mean-Square Error (MMSE) detection, Successive Interference Cancellation (SIC), Parallel Interference Cancellation (...

We consider the change of entanglement of formation ∆E produced by the Hadamard-CNOT circuit on a general (pure or mixed) state ρ describing a system of two qubits. We study numerically the probabilities of obtaining different values of ∆E, assuming that the initial state is randomly distributed in the space of all states according to the product measure recently introduced by Zyczkowski et al.

Let N (l) be a continuous topological space. Recent developments in local calculus [19] have raised the question of whether every real, degenerate, semi-Kepler factor is linearly Noetherian. We show that every curve is pointwise semi-Hadamard, Thompson, almost surely ultra-reducible and non-continuously independent. It has long been known that every hyper-natural modulus equipped with a Pythago...

In this paper, we define quasi-cyclic (QC) generalized Hadamard matrices and balanced QC generalized Hadamard matrices. Then we propose a new construction method for QC generalized Hadamard matrices. The proposed matrices are constructed from the balanced optimal low correlation zone (LCZ) sequence set which has correlation value −1 within low correlation zone.

A normalized Hadamard matrix is said to be completely noncyclic if no two row vectors are shift equivalent in its punctured matrix (i.e., with the first column removed). In this paper we present an infinite recursive construction for completely noncyclic quaternary Hadamard matrices. These Hadamard matrices are useful in constructing low correlation zone sequences.

The paper presents a new fractional integration, which generalizes the Riemann-Liouville and Hadamard fractional integrals into a single form, which when a parameter fixed at different values, produces the above integrals as special cases. Conditions are given for such a generalized fractional integration operator to be bounded in an extended Lebesgue measurable space. Semigroup property for th...

Using recent results on singularity analysis for Hadamard products of generating functions, we obtain the limiting distributions for additive functionals on m-ary search trees on n keys with toll sequence (i) n with α ≥ 0 (α = 0 and α = 1 correspond roughly to the space requirement and total path length, respectively); (ii) ln ` n m−1 ́ , which corresponds to the so-called shape functional; and ...

We develop a computer code that uses elegant bit-manipulation techniques for matrix multiplication and thus facilitates exhaustive generation of Skew-Hadamard matrices. Hadamard matrices are useful in spectroscopic applications (Hadamard transform spectroscopy) and in balanced chemical designs. Application of our code yields several Skew-Hadamard matrices up to order 100 X 100, although the com...

Using reversible Hadamard difference sets, we construct symmetric Bush-type Hadamard matrices of order 4m4 for all odd integers m.

In this paper, we define quasi-cyclic(QC) generalized Hadamard matrices and balanced QC generalized Hadamard matrices. Then we propose a new construction method for QC generalized Hadamard matrices. The proposed matrices are constructed from the balanced optimal low correlation zone(LCZ) sequence set which has correlation value −1 within low correlation zone.