In this paper, we introduce an adaptive Lp–norm metric for robust coherent, differential, and noncoherent diversity combining in non–Gaussian noise and interference. We consider the general case where all diversity branches may use different combining weights and different Lp–norms. We derive a general closed–form expression for the asymptotic bit error rate (BER) for Lp–norm combining in indep...

In this paper, we present an entropy based approach for DOA estimation in Gaussian and non-Gaussian environments. The DOA estimates are obtained by minimizing an entropy measure of the array data in the noise subspace. We show that the entropy approach leads to the MAP algorithm under the Gaussian assumption. Under the non-Gaussian assumption, we apply the varimax norm as an information measure...

Tensors are multi-way arrays, and the CANDECOMP/PARAFAC (CP) tensor factorization has found application in many different domains. The CP model is typically fit using a least squares objective function, which is a maximum likelihood estimate under the assumption of i.i.d. Gaussian noise. We demonstrate that this loss function can actually be highly sensitive to non-Gaussian noise. Therefore, we...

in this paper,~some results on finite dimensional generating spaces of quasi-norm family are established.~the idea of equivalent quasi-norm families is introduced.~riesz lemma is established in this space.~finally,~we re-define b-s fuzzy norm and prove that it induces a generating space of quasi-norm family.

The private quantum channel (PQC) maps any state to the maximally mixed for discrete as well bosonic Gaussian systems, and it has fundamental meaning on cryptographic tasks capacity problems. In this paper, we primally introduce a notion of approximate (ε-PQC) fermionic systems (i.e., ε-FPQC), construct its explicit form (Gaussian) channel. First all, suggest general structure ε-FPQC with respe...

An operator T is called (α, β)-normal (0 ≤ α ≤ 1 ≤ β) if αT ∗T ≤ TT ∗ ≤ βT ∗T. In this paper, we establish various inequalities between the operator norm and its numerical radius of (α, β)-normal operators in Hilbert spaces. For this purpose, we employ some classical inequalities for vectors in inner product spaces.

In this work we solve the problem of the minimization of the spectral norm of the SOR operator associated with a block two-cyclic consistently ordered matrix A ∈ C, assuming that the corresponding Jacobi matrix has eigenvalues μ ∈ [−β, β] ∪ [−ıα, ıα], with β ∈ [0, 1), α ∈ [0,+∞) and ı = √ −1. Previous results obtained by other researchers are extended.

The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα,β (T ) := (T ∗ −αI) (β I−T ) , where α ,β ∈ C and T ∈ B(H), of the operators involved. Mathematics subject classification (2000): Primary 47A12, 47A30; Secondary 47A63..

We prove a concentration inequality for sequential dynamical systems of the unit interval enjoying an exponential loss of memory in the BV norm, and we investigate several of its consequences. In particular, this covers compositions of β-transformations, with all β lying in a neighborhood of a fixed β? > 1 and systems satisfying a covering type assumption.