Generalization of the classical delay-and-sum technique by using nonlinear dirac-delta functions

• Autor: Nieto Chaupis, Huber
• Formato: objeto de conferencia
• Fecha de Publicación: 2017
• Institución: Universidad de Ciencias y Humanidades
• Repositorio: UCH-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.uch.edu.pe:uch/330
• Enlace del recurso: http://repositorio.uch.edu.pe/handle/uch/330; http://dx.doi.org/10.1109/INTERCON.2017.8079636; https://ieeexplore.ieee.org/abstract/document/8079636
• Nivel de acceso: acceso embargado
• Materia: Beamforming; Monte Carlo methods; Beamforming technique; Closed-form expression; Delay and sum beamforming; Delay and sums; Dirac delta function; Input functions; Model parameters; Strong nonlinearity; Delta functions

We presented a generalization of the delay-and-sum beamforming based on the Dirac-Delta functions but with nonlinear argument. For this end, a closed-form expression of the beampattern mathcal{B}(r)=\sum\nolimits-{k,q}w(k,q,r)x(k,q,r) with r = r(θ), was derived. This expression is computationally simulated through an algorithm that includes integer-order Bessel input functions and random noise. The 4M+N model parameters provided by the Dirac-Delta method are extracted by using a Monte-Carlo-like step which selects the best values for B(r) minimizing the Monte-Carlo error for Δθ = 0.5% for the case of beam response of θ0=30 degrees. These results might sustain the fact that beamforming techniques can use Dirac-Delta functions for modeling arrival signal even in those cases where strong nonlinearity is involved.