Learn How to Calculate Antenna 3db Bandwidth - Tutorial

How to Calculate Antenna 3db Bandwidth - Definition, Formula and Example

Definition:

Bandwidth is a range within a band of frequencies or wavelengths. It describes the maximum data transfer rate of a network and it calculates how much data can be sent over a specific connection in a given amount of time.

Formula:

3db-bandwidth-formula frequency-formula where, Q = Quality factor

Example :

An antenna has a center frequency 200Hz and quality factor 1.2.Calculate the 3 DB bandwidth for the antenna.

Given,

f0 = 200Hz Q = 1.2

To Find,

3 dB Bandwidth

Solution

Step 1:

Let us first calculate the value of lower cutoff frequency (f1) and upper cutoff frequency (f2).

f1 = 200 x (√1+(1/4 x 1.2 x 1.2) - 1/(2 x 1.2))
= 200 x (√1+0.1736 - 1/2.4)
= 200 x (1.0833-0.4167)
= 200 * 0.6666
= 133.32
f2 = 200 x (√1+(1/4 x 1.2 x 1.2) + 1/(2 x 1.2))
= 200 x (√1+0.1736 + 1/2.4)
= 200 x (1.0833+0.4167)
= 200 * 1.5
= 300
Step 2:

Now, substitute the values in the BW (bandwidth of a circuit) formula, BW = 300 - 133.333 BW = 166.667

Learn how to calculate the 3dB antenna bandwidth and cutoff frequency in this tutorial, given with the definition, formula and example.


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