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What is Hilbert Curve

Chapter 3
Handbook of Research on Advanced Trends in Microwave and Communication Engineering
Hilbert curve fractal geometry was first proposed in the year 1891 named after the germen mathematician ‘David Hilbert’ as space filling curve. Hilbert curve geometry in antenna design has been configured to reduce the size of antenna as well as to get multiple resonances. Total length of the Hilbert curve increases when increasing the iteration stage, while keeping the overall space of the entire geometry fixed. This phenomenon mainly stems from electrical miniaturization of the geometry.
Published in Chapter:
Design and Analysis of an UWB Printed Monopole Antenna with Hilbert Curve Fractal Shaped Slots for Multiple Band Rejection Functionality
Anirban Karmakar (Tripura University, India)
Copyright: © 2017 |Pages: 30
DOI: 10.4018/978-1-5225-0773-4.ch003
Abstract
In this chapter, a compact dual band notched Ultrawideband (UWB) antenna with fractal shaped Hilbert curve slots (HCS) is presented. The antenna covers the frequency band from 2.5 GHz to 12 GHz for VSWR=2 and also shows stable radiation patterns throughout the operating frequency band. By introducing Hilbert Curve fractal Slots (HCS) in the antenna, band notch characteristics have been achieved. The HCS renders the capability to reject 5.15-5.825 GHz band assigned for IEEE 802.11a and HYPERLAN/2 and also 7.9-8.4 GHz band assigned for X-Band uplink satellite communication systems where the gain is suppressed very well in the desired WLAN and X-Band. The antenna gain varies from 3dBi to 5dBi over the operating band. Novelty of this design lies in achieving miniature notch structure which has higher degree of freedom for adjusting notch parameters and unsusceptible to coupling with other notches. The antenna can be used for various mobile communication services such as DCS, IMT-2000, UMTS, DMB and UWB.
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More Results
Chapter 59
Spatial Data on the Move
A Hilbert curve is part of the family of plane-filling curve. It is commonly used to transform multi-dimensional data to a single dimension.
Published in Chapter: Spatial Data on the Move; From: Handbook of Research on Mobile Multimedia, Second Edition
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Chapter 9
A Novel Multilevel DCT Based Reversible Data Hiding
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