in this paper, we propose a new method for the numerical solution of two-dimensional linear and nonlinear volterra integral equations of the first and second kinds, which avoids from using starting values. an existence and uniqueness theorem is proved and convergence isverified by using an appropriate variety of the gronwall inequality. application of the method is demonstrated for solving the ...

A novel sparse Gauss–Hermite quadrature filter is proposed using a sparse-grid method for multidimensional numerical integration in the Bayesian estimation framework. The conventional Gauss–Hermite quadrature filter is computationally expensive for multidimensional problems, because the number of Gauss–Hermite quadrature points increases exponentially with the dimension. The number of sparse-gr...

Quadrature operators are useful for obtaining the modulating phase phi in interferometry and temporal signals in electrical communications. In carrier-frequency interferometry and electrical communications, one uses the Hilbert transform to obtain the quadrature of the signal. In these cases the Hilbert transform gives the desired quadrature because the modulating phase is monotonically increas...

Abstract We observe that every quadrature of numerical integration together with a strictly increasing and continuous function generates mean then we study this family means. characterize the functions which generate weighted arithmetic means in way show how to obtain comparison type theorems for generated by different quadratures.

Based on a novel class of orthogonal pulse pairs, new full-response quadrature-quadrature phase-shift keying (QPSK) signal format is proposed in the paper. The proposed full-response QPSK signals can provide higher spectral compactness than conventional fullresponse QPSK signal, minimum-shift keying signal and quadrature phase-shift keying signal.

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.