𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Implementation of a trapezoidal-rule microwave integrator

✍ Scribed by Ching-Wen Hsue; Lin-Chuan Tsai; Shih-Tsung Kan

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
102 KB
Volume
48
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The bilinear transformation is employed to represent the trapezoidal‐rule integrator in the Z domain. This formulation, in conjunction with the representations of transmission‐line elements in the Z domain, leads to the transmission‐line configuration that is eligible for a microwave integrator. A microstrip circuit is implemented to verify the feasibility of the technique. Except for the lower‐frequency band, the experimental results are in good agreement with the theoretical values of the trapezoidal‐rule integrator. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 48: 822–825, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.21485

📜 SIMILAR VOLUMES

An extension of trapezoidal type product
An extension of trapezoidal type product integration rules
✍ Grzegorz Rza̧dkowski 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 428 KB

In the present paper, we use a generalization of the Euler-Maclaurin summation formula for integrals of the form b a F 0 (x)g(x)dx where F 0 (x) (the weight) is a continuous and positive function and g(x) is twice continuously differentiable function in the interval [a, b]. Numerical examples are g

Finding an optimal partition for a numer
Finding an optimal partition for a numerical integration using the trapezoidal rule
✍ J. Vergnes; J. Dumontet 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 715 KB

When a method of numerical integration is implemented on a computer, it is performed with a limited precision arithmetic. This causes a computing error propagated at the level of each elementary operation and affecting, like the method error, the final computed result. The global error depends on t

Design and implementation of second-orde
Design and implementation of second-order microwave integrators
✍ Lin-Chuan Tsai; Han-Sheng Fang 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB

## Abstract In this letter, we propose the second‐order integrators in the Z domain; the second‐order integrators are obtained by interpolating the traditional Simpson's‐ and trapezoidal‐rule integrators. This formulation, in conjunction with the representations of transmission‐line elements in the