# The radiation pattern of an antenna is given by F(x)= cos4 x with 0<x<pi/2.What will be the directivity of the antenna?

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The radiation pattern of an antenna is given by F(x)= cos4 x with 0<x<pi/2.

What will be the directivity of the antenna?

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Step 1

Directivity is a very important antenna parameter and it can be used to determine how concentrated the radiation is in a specific direction. If antenna radiation pattern F(x) is given, then the directivity can be expressed as

Step 2

Radiation pattern is expressed in spherical polar coordinates.

In this case, the radiation pattern is given as

Step 3

The maximum value of F(x) will be 1. The average value of F(x) can be computed in the following way:

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