08.11.2012 Views

Design of Antennas for Handheld DVB-H ... - Lunds tekniska högskola

Design of Antennas for Handheld DVB-H ... - Lunds tekniska högskola

Design of Antennas for Handheld DVB-H ... - Lunds tekniska högskola

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Figure 2.9. Impedance bandwidth defined according to the absolute value <strong>of</strong> the<br />

reflection coefficient ⎟Γ⎜ = ⎟S11⎜ = -6 dB. BWabs is the absolute frequency<br />

bandwidth.<br />

From the absolute bandwidth the relative bandwidth can be defined according to<br />

the following equation.<br />

BWabs<br />

Br<br />

= (2.7)<br />

CF<br />

Where BWabs is the absolute frequency bandwidth and CF is the arithmetic center<br />

frequency <strong>of</strong> the impedance band.<br />

2.3.3 Resonance Circuit<br />

The small antennas studied in this thesis are resonators. Input impedance <strong>of</strong> such<br />

antennas consists <strong>of</strong> one resistive part and one reactive part according to the<br />

following <strong>for</strong>mula<br />

( f ) R ( f ) + jX ( f )<br />

Za a<br />

a<br />

= . (2.8)<br />

The resistance Ra(f) represents the radiation and ohmic loss. Xa(f) represents the<br />

reactive, non-radiating energies <strong>of</strong> the antenna structure that consists <strong>of</strong> inductive<br />

and capacitive components.<br />

Resonance in the antenna structure is achieved when the inductive part and the<br />

capacitive part cancel each other, which results in the best efficiency <strong>for</strong> the<br />

antenna. This can be achieved by a self-resonant structure, but only inside a<br />

narrow bandwidth, or by a matching circuit. A short-circuited λ / 4 or an open<br />

λ / 2 antenna normally achieves the self-resonance, where λ is the wavelength at<br />

the used frequency in the used medium.<br />

21

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!