A three dimensional Hilbert antenna

Romeu, J.; Blanch, S.

doi:10.1109/aps.2002.1017044

Cited by 15 publications

(9 citation statements)

References 5 publications

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“…These simulated current distributions on the wire at first resonance help us to understand the reason for such a low efficiency. As the iteration increases, the current distribution on the wire changes from a sinusoidal distribution (as in a /4 monopole) to a more uniform current distribution in the first segments of the prefractal, in agreement with the results shown at [8]. The radiation mainly occurs in the first segment of the 3D Hilbert prefractal while the rest of the structure acts as a load.…”

Section: The Hilbert Curve As a 3d Antennasupporting

confidence: 87%

“…Configurations analyzed in this section are monopoles whose structure is one half of the 3D Hilbert curve (as introduced in [8]). Their feeding point is at the lowermost segment (equivalent to the middle segment of the dipole structure) of the antennas.…”

Section: The Hilbert Curve As a 3d Antennamentioning

confidence: 99%

“…It was not until [8] that a three-dimensional (3D) Hilbert curve in a dipole configuration was introduced and its behavior analyzed in terms of radiation resistance and quality factor Q at resonance. It was concluded from this work that, although a 3D Hilbert dipole has a small resonant frequency, it also has a high quality factor that is far from the fundamental limit.…”

Section: Introductionmentioning

confidence: 99%

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The Hilbert curve as a small self‐resonant monopole from a practical point of view

Gonzalez-Arbesu

Blanch

Romeu

2003

Micro & Optical Tech Letters

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Section: The Hilbert Curve As a 3d Antennasupporting

confidence: 87%

Section: The Hilbert Curve As a 3d Antennamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Hilbert curve as a small self‐resonant monopole from a practical point of view

Gonzalez-Arbesu

Blanch

Romeu

2003

Micro & Optical Tech Letters

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“…Recently, 3-D space-filling curves are used to detect and classify functional Magnetic Resonance Imaging (fMRI) activation patterns of clinical medical images [16]. The 3-D Hilbert wire antenna can increase the wire length and reduce the resonant frequency with the antenna occupying the same volume [29]. Suppose the data elements on an n-dimensional cube are initially stored in the row major order as in C language or the column major order as in FORTRAN language.…”

Section: Introductionmentioning

confidence: 99%

A Novel Construction Method for n-Dimensional Hilbert Space-Filling Curves

Chen

Lin

Fan

et al. 2010

IEICE Trans. Inf. & Syst.

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SUMMARYWe develop a novel construction method for n-dimensional Hilbert space-filling curves. The construction method includes four steps: block allocation, Gray permutation, coordinate transformation and recursive construction. We use the tensor product theory to formulate the method. An n-dimensional Hilbert space-filling curve of 2 r elements on each dimension is specified as a permutation which rearranges 2 rn data elements stored in the row major order as in C language or the column major order as in FORTRAN language to the order of traversing an n-dimensional Hilbert space-filling curve. The tensor product formulation of n-dimensional Hilbert space-filling curves uses stride permutation, reverse permutation, and Gray permutation. We present both recursive and iterative tensor product formulas of n-dimensional Hilbert space-filling curves. The tensor product formulas are directly translated into computer programs which can be used in various applications. The process of program generation is explained in the paper. key words: block recursive algorithm, tensor product, n-dimensional Hilbert space-filling curve, Gray permutation

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“…Hilbert type antennas have drawn specific interest among researchers to achieve miniaturization [22][23][24][25][26][27][28]. In [22] the resonant properties of a wire Hilbert antenna in free space were investigated.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of a Microstrip-Fed Miniature Printed Hilbert Slot Antenna

Sayem¹,

Ali²

2006

PIER

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Abstract-The resonant frequencies and input impedance of a microstrip-fed third order Hilbert slot antenna are studied as function of antenna and substrate parameters. A distinct dualband characteristic is observed. Findings from HFSS simulation are validated by prototype fabrication and experimental measurement. The two resonant frequencies maintain a ratio of approximately 1.4 for narrow slots. A design parameter, L ax is identified which needs to be about 0.80λ g at the lowest operating frequency. The Hilbert slot provides a unidirectional pattern when operated against a metallic ground plane while maintaining dual-band characteristics.

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A three dimensional Hilbert antenna

Cited by 15 publications

References 5 publications

The Hilbert curve as a small self‐resonant monopole from a practical point of view

The Hilbert curve as a small self‐resonant monopole from a practical point of view

A Novel Construction Method for n-Dimensional Hilbert Space-Filling Curves

Characteristics of a Microstrip-Fed Miniature Printed Hilbert Slot Antenna

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