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

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Figure 5.6. Radiation pattern <strong>for</strong> Reference antenna, frequency=560 MHz,<br />

Theta=0°-350°, Phi=90°, A=Phi polarization, B= Theta polarization.<br />

To determine the power gain <strong>for</strong> our antennas we must measure the radiated<br />

signal in the whole sphere. The maximum value <strong>of</strong> all these values is equivalent to<br />

2.15 dBi power gain <strong>for</strong> an ideal dipole, because our reference antennas are not<br />

ideal we estimated the maximum power gain to 1.6 dBi. Then the maximum<br />

absorbed signal <strong>for</strong> our antennas can be compared with this value <strong>for</strong> respective<br />

frequency (see equation 5.1).<br />

G=A-B+1.6 (5.1)<br />

G=Antenna power gain in dBi.<br />

A=Received signal strength in our prototype.<br />

B=Received signal strength in the reference antenna.<br />

To find out the efficiency <strong>for</strong> our antennas we must calculate TRP, total radiated<br />

power <strong>for</strong> both the reference antenna and our prototype.<br />

2π<br />

π<br />

⎧<br />

⎫<br />

Prad = B0<br />

∫ ⎨∫<br />

f ( θ ) ⋅ sin θ ⋅ dθ<br />

⎬dφ<br />

0 ⎩ 0<br />

⎭<br />

Numerical equation:<br />

(5.2)<br />

P<br />

rad<br />

⎛ π ⎞⎛<br />

2π<br />

⎞<br />

= B0⎜<br />

⎟⎜<br />

⎟<br />

⎝ N ⎠⎝<br />

M ⎠<br />

M<br />

⎡<br />

∑ ⎢∑<br />

⎣<br />

N<br />

j=<br />

1 i=<br />

1<br />

F(<br />

θ φ<br />

i,<br />

j<br />

) sin<br />

θ<br />

i<br />

⎤<br />

⎥<br />

⎦<br />

57<br />

(5.3)

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