In this paper, the Generalized Selection Combining (GSC) diversity scheme over Quadrature Amplitude Modulation (QAM) is presented. The closed-form expressions for Average Symbol Error Rate (ASER) of arbitrary M-ary Cross Quadrature Amplitude Modulation (XQAM) and M-ary rectangular Quadrature Amplitude Modulation is also derived in the paper.

We present a family of four-point quadrature rule, a generalization of Gauss-two point, Simpson’s 3/8, and Lobatto four-point quadrature rule for twice-differentiable mapping. Moreover, it is shown that the corresponding optimal quadrature formula presents better estimate in the context of four-point quadrature formulae of closed type. A unified treatment of error inequalities for different cla...

Abstract—This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature. We select nodes at sampling positions that are as close as possible to those of the associated classical quadrature and we upd...

Abstract. It was shown by P. J. Davis that the Newton-Cotes quadrature formula is convergent if the integrand is an analytic function that is regular in a sufficiently large region of the complex plane containing the interval of integration. In the present paper, a bound on the error of the Newton-Cotes quadrature formula for analytic functions is derived. Also the bounds on the Legendre polyno...

In this paper, a new scheme of the evaluation of numerical integration by using Centroidal mean derivative based closed Newton cotes quadrature rule (CMDCNC) is presented in which the centroidal mean is used for the computation of function derivative. The accuracy of these numerical formulas are higher than the existing closed Newton cotes quadrature (CNC) fromula. The error terms are also obta...

An error bound for multidimensional quadrature is derived that includes the Koksma-Hlawka inequality as a special case. This error bound takes the form of a product of two terms. One term, which depends only on the integrand, is defined as a generalized variation. The other term, which depends only on the quadrature rule, is defined as a generalized discrepancy. The generalized discrepancy is a...

A novel variable step-size modified super-exponential iteration (MSEI) decision feedback blind equalization (DFE) algorithm with second-order digital phase-locked loop is put forward to improve the convergence performance of DFE algorithm. Based on MSEI-DFE algorithm, it first proposed develop an error function as improvement MSEI, which effectively achieves faster speed Subsequently, a hyperbo...

Orthogonal frequency division multiplexing (OFDM) technique is becoming the most frequently used technique for wireless systems such as Long Term Evolution (LTE) and enhanced standards are contemplating its combination with multiple input multiple output (MIMO).These systems suffer from inter-channel interference (ICI) introduced by phase noise and channel estimation errors.ICI is also caused d...