Szegő quadrature rules are discretization methods for approximating integrals of the form ∫ π −π f(e it)dμ(t). This paper presents a new class of discretization methods, which we refer to as anti-Szegő quadrature rules. AntiSzegő rules can be used to estimate the error in Szegő quadrature rules: under suitable conditions, pairs of associated Szegő and anti-Szegő quadrature rules provide upper a...

Today quadrature signals for IQ demodulation are provided through RC polyphase networks, quadrature oscillators or double frequency VCOs. This paper presents a new method for generating quadrature signals in integrated circuits using only inductors and capacitors. This LC quadrature generation method enables significantly reduced noise and power consumption.

It is shown how recent ideas on rational Gauss-type quadrature rules can be extended to Gauss-Kronrod, Gauss-Turr an, and Cauchy principal value quadrature rules. Numerical examples illustrate the advantages in accuracy thus achievable. 0. Introduction The idea of constructing quadrature rules that are exact for rational functions with prescribed poles, rather than for polynomials, has received...

In this paper, numerical spline-based differential quadrature is presented for solving the boundary and initial value problems, and its application is used to solve the fixed rectangular membrane vibration equation. For the time integration of the problem, the Runge–Kutta and spline-based differential quadrature methods have been applied. The Runge–Kutta method was unstable for solving the prob...

6 Quadrature Mirror Filter QMF Bank. 1 Errors Created in the QMF Bank. 2 A Simple Alias-Free QMF.Thus, the name quadrature mirror filter is a misnomer, when M 2. However, this has become more or less standard, and there is no reason to change the.In digital signal processing, a quadrature mirror filter is a filter whose magnitude response is the mirror image around pi2 of that of another filter...

A simple technique is presented to realize a digitally programmable voltage mode quadrature oscillator using second generation current conveyors. Firstly, the current conveyors based tunable quadrature oscillator is realised. A digital block is introduced in the realized tunable quadrature oscillator so that the oscillator can be controlled digitally. The realized Digitally Programmable Quadrat...

Abstract In this work, three different integration techniques, which are the numerical, semi-analytical and exact integration techniques are briefly reviewed. Numerical integrations are carried out using three different Quadrature rules, which are the Classical Gauss Quadrature, Gauss Legendre and Generalized Gaussian Quadrature. Line integral method is used to perform semi-analytical integrati...

In this paper we set out to understand Filon-type quadrature of highly-oscillating integrals of the form ∫ 1 0 f (x)e iωg(x)dx , where g is a real-valued function and ω 1. Employing ad hoc analysis, as well as perturbation theory, we demonstrate that for most functions g of interest the moments behave asymptotically according to a specific model that allows for an optimal choice of quadrature n...

Gauss–Hermite quadrature is often used to evaluate and maximize the likelihood for random component probit models. Unfortunately, the estimates are biased for large cluster sizes and/or intraclass correlations. We show that adaptive quadrature largely overcomes these problems. We then extend the adaptive quadrature approach to general random coefficient models with limited and discrete dependen...

We address quadrature-based approximations of the bilinear inverse form u>A−1u, where A is a real symmetric positive definite matrix, and analyze properties of the Gauss, Gauss-Radau, and Gauss-Lobatto quadrature. In particular, we establish monotonicity of the bounds given by these quadrature rules, compare the tightness of these bounds, and derive associated convergence rates. To our knowledg...