Theory of Fractional Order Elements Based Impedance Matching Networks

被引：78

作者：

Radwan, A. G. ^{[1
,2
]}

Shamim, A. ^{[1
]}

Salama, K. N. ^{[1
]}

机构：

[1] King Abdullah Univ Sci & Technol KAUST, Elect Engn Program, Thuwal 239556900, Saudi Arabia

[2] Cairo Univ, Cairo, Egypt

来源：

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS | 2011年 / 21卷 / 03期

关键词：

Fractional; impedance matching; Smith chart; SINUSOIDAL OSCILLATORS; EXAMPLES;

D O I：

10.1109/LMWC.2010.2103051

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Fractional order circuit elements (inductors and capacitors) based impedance matching networks are introduced for the first time. In comparison to the conventional integer based L-type matching networks, fractional matching networks are much simpler and versatile. Any complex load can be matched utilizing a single series fractional element, which generally requires two elements for matching in the conventional approach. It is shown that all the Smith chart circles (resistance and reactance) are actually pairs of completely identical circles. They appear to be single for the conventional integer order case, where the identical circles completely overlap each other. The concept is supported by design equations and impedance matching examples.

引用

页码：120 / 122

页数：3

共 9 条

[1] A Fully Differential Monolithic LNA With On-Chip Antenna for a Short Range Wireless Receiver [J].

Arsalan, Muhammad ;

Shamim, Atif ;

Roy, Langis ;

Shams, Maitham .

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2009, 19 (10) :674-676

[2]

GROOTE F, 2006, P IEEE AUT RF TECH G

[3] Influence of the electrical parameters on the input impedance of a fractal structure realised on silicon [J].

Haba, TC ;

Ablart, G ;

Camps, T ;

Olivie, F .

CHAOS SOLITONS & FRACTALS, 2005, 24 (02) :479-490

[4]

Pozar D. M., 2005, MICROWAVE ENG, P64

[5] Design equations for fractional-order sinusoidal oscillators: Four practical circuit examples [J].

Radwan, A. G. ;

Soliman, A. M. ;

Elwakil, A. S. .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2008, 36 (04) :473-492

[6] Fractional-order sinusoidal oscillators: Design procedure and practical examples [J].

Radwan, Ahmed Gomaa ;

Elwakil, Ahmed S. ;

Soliman, Ahmed M. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (07) :2051-2063

[7]

Sabatier J, 2007, Advances in fractional calculus: theoretical developments and applications in physics and engineering

[8]

SHAMIM A, 2011, IEEE MICROW IN PRESS, V21

[9] Fractional order electromagnetics [J].

Tenreiro Machado, J. A. ;

Jesus, Isabel S. ;

Galhano, Alexandra ;

Boaventura Cunha, J. .

SIGNAL PROCESSING, 2006, 86 (10) :2637-2644

← 1 →