# Single-tone AM

### 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

PTotal = Pc +PUSB+PLSB

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.     (No Ratings Yet) Loading...