Question

Difficulty: MediumWireless Principles and Architecture

A network administrator is installing an outdoor wireless point-to-point bridge between two campus buildings. The access point transmitter power is configured to 14 dBm14\text{ dBm}, the coaxial cable connecting the access point to the antenna introduces 3 dB3\text{ dB} of attenuation, and the directional antenna has a gain of 16 dBi16\text{ dBi}. What is the Effective Isotropic Radiated Power (EIRP) for this wireless installation?

  1. 27 dBm27\text{ dBm}Answer
  2. B
    33 dBm33\text{ dBm}
  3. C
    11 dBm11\text{ dBm}
  4. D
    1 dBm1\text{ dBm}

Answer

The Effective Isotropic Radiated Power (EIRP) is 27 dBm27\text{ dBm}.
The correct calculation for Effective Isotropic Radiated Power (EIRP) accounts for the total power output from the transmitter, minus any insertion losses along the transmission cable, plus the passive power gain provided by the antenna. Computing 14 dBm3 dB+16 dBi14\text{ dBm} - 3\text{ dB} + 16\text{ dBi} gives 27 dBm27\text{ dBm}.

Step-by-Step Solution

1
Identify the given radio frequency values
Transmitter Power (PtxP_{\text{tx}}) = 14 dBm14\text{ dBm}, Cable Loss (LcableL_{\text{cable}}) = 3 dB3\text{ dB}, Antenna Gain (GantennaG_{\text{antenna}}) = 16 dBi16\text{ dBi}.
These parameters determine the total power radiated by the antenna in isotropic terms.
2
Apply the standard EIRP formula
EIRP=PtxLcable+Gantenna\text{EIRP} = P_{\text{tx}} - L_{\text{cable}} + G_{\text{antenna}}
Cable attenuation reduces signal power before it reaches the antenna, while antenna gain focuses and boosts the radiated signal power.
3
Substitute the values into the formula and calculate
EIRP=14 dBm3 dB+16 dBi=27 dBm\text{EIRP} = 14\text{ dBm} - 3\text{ dB} + 16\text{ dBi} = 27\text{ dBm}
Combining the transmitter output, cable attenuation, and passive antenna gain yields the total effective radiated power.

Key Concept

Effective Isotropic Radiated Power (EIRP) Calculation
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