Search results for "Riemann sum"

The design of sum-of-cisoids channel simulators using the iterative nonlinear least square approximation method

2013

In this paper, we propose the iterative nonlinear least square approximation (INLSA) algorithm as an effective method for the design of sum-of-cisoids (SOC) channel simulators assuming non-isotropic scattering conditions. For the characterization of non-isotropic scattering scenarios, we use the von Mises distribution for describing the distribution of the angles-of-arrival (AOAs). The INLSA method relies partially on numerical optimization techniques. This method determines the SOC model parameters iteratively by minimizing the Frobenius error norm. We evaluate the performance of the INLSA method and compare the results with those obtained for the Riemann sum method (RSM) and the Lp-norm m…

A Riemann sums method in the Theory of vector Integration

2010

First-year university students making sense of symbols in integration

2020

International audience; This paper focuses on first year university engineering students and their sensemaking of integration and its symbolism. Through a semiotic approach, attention is given to two students and their attempt to verbally express their reflections on integration and the related meaning of symbols. Findings suggest that students tend to interpret the symbols mainly as operations, in terms of calculations to be carried out. They express uncertainty concerning what the symbols stand for, and the mathematical objects they represent. For example, the symbols ∫ and are respectively conceived of as “finding the integral with respect to x” and students are unclear on how Riemann su…

The Riemann sum method for the design of sum-of-cisoids simulators for Rayleigh fading channels in non-isotropic scattering environments

2009

©2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. Article also available from publisher: http://dx.doi.org/10.1109/ICUMT.2009.5345371 In this paper, we introduce the Riemann sum method (RSM) as an effective tool for the design of sum-of-cisoids (SOC) simulators for narrowband mobile Rayleigh fading channels under non-isotropic scattering conditions. We show that the RSM results in an excellent approximation of…