**single tone AM:-**

The expression for conventional AM is

now if the message signal is a single-tone

where is called as modulation index

this equation can be further simplified as follows

that is by taking the fourier transform

from the above expression the amplitude spectrum can be drawn as follows

from the spectrum single tone AM consists of 6 impulse functions located at frequencies , and respectively.

**Power content in AM/ Conventional AM:-**

represents the AM signal , here m(t) is some arbitrary signal , then the power of this signal can be calculated from its Mean Square value

i.e, message signal power = Watts.

Carrier signal is and it’s power is Watts.

Now the total power available in the signal will be .

Watts.

Total Side Band power can be calculated from the term can be denoted as that would be Watts.

from these power calculations transmission efficiency of AM can be obtained as %

X 100%.

X 100%.

**Power content in Single-tone AM:-**

In single tone AM message signal is , then power of the message signal is watts

carrier signal is implies the carrier power is watts.

then the total power of the single-tone AM signal is from the above equation given as

P_{Total} = P_{c} +P_{USB}+P_{LSB}

Watts.

USB and LSB has same power watts.

Now total side band power is

from these power calculations transmission efficiency of AM can be obtained as %

%

%.

**Note:- Effeciency (or) Transmission efficiency of AM is only 33.3% only i.e, value calculated when =1.**