Question
Asked Feb 2, 2020
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An AM signal is represented by x(t)={20+4sin(500t)}cos(5000t).

 

What will be the transmission efficiency? Express the answer in percentage.

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Expert Answer

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Step 1

The general expression of am amplitude modulated waveform can be expressed as

Electrical Engineering homework question answer, step 1, image 1

The transmission efficiency of an amplitude modulated (AM) waveform is expressed as

Electrical Engineering homework question answer, step 1, image 2

Step 2

In this case, the expression of the amplitude modulated waveform is given as

Electrical Engineering homework question answer, step 2, image 1

The waveform expressed by equation (2) can be rewritten as

Electrical Engineering homework question answer, step 2, image 2

Step 3

Comparing equation (1) and (3), it can be concluded that the value of the modulation index will be

Electrical Engineering homework question answer, step 3, image 1

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