When a single-tone continuous modulating signal modulates a sinusoidal carrier, isn't the modulated wave periodic? If so, can't we apply fourier series and determine the harmonic frequency components instead of finding the frequency components using fourier transform?
[Physics] Fourier series of single tone modulated wave
fourier transformsignal processing
Best Answer
$\cos(\omega_m t) \cdot \cos(\omega_ct) = \dfrac{\cos[(\omega_m + \omega_c) t] + \cos[(\omega_m - \omega_c) t]}{2}$
Isn't the frequency content evident by inspection?