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
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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 />
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