What Frequencies Emerge in an AM Signal with Given Parameters?

[tai man]

Homework Statement

Which frequency components are present in the amplitude-modulated (AM) signal A(t)=[1+asin(2πf_mt)]A₀sin(2πf_ct), where f_m= 3.5 kHz, f_c = 540 kHz, and a = 0.1?

Homework Equations

A(t)=[1+M(t)]A₀sin(2πf_ct),
where modulating signal M(t) = sin(2πf_m t + ∅),
high frequency carrier = A₀sin(2πf_ct),
f_c : Carrier frequency
f_m : Modulation frequency

The Attempt at a Solution

I wrote down 'Carrier frequency and modulation frequency are presented' at first, but now I am not sure that the question requires a numerical answer or not.

 

[gneill]

I wrote down 'Carrier frequency and modulation frequency are presented' at first, but now I am not sure that the question requires a numerical answer or not.

It likely requires numerical answers as there is sufficient information given to perform the necessary calculations.

Look up "amplitude modulation" and review the theory. Pay attention to the discussion of sidebands. The concept of beat frequencies applies.

 

[tai man]

It likely requires numerical answers as there is sufficient information given to perform the necessary calculations.

Look up "amplitude modulation" and review the theory. Pay attention to the discussion of sidebands. The concept of beat frequencies applies.

So are we finding the numerical answers of the carrier frequency and the modulating signal frequency?

 

[gneill]

So are we finding the numerical answers of the carrier frequency and the modulating signal frequency?

You're given those values in the problem statement. You are to find the resulting frequencies that appear in the transmitted signal.

 

[tai man]

You're given those values in the problem statement. You are to find the resulting frequencies that appear in the transmitted signal.

OK Thank you so much