(Solved): The following block diagram represents an amplitude modulator where p(t)=Acos(2f0 t) represent ...

The following block diagram represents an amplitude modulator where $p(t)=A\cos (2?f_0$ $t)$ represents the carrier and $m(t)=b$. $x(t)$ the signal modulating with $?x(t)??1$. The nonlinear circuit is characterized by the equation $v_s=a{v}^{3}e$ where $vs$ designates its output and $v_e$ its input. 1. Give the expression for the signals $v_e(t)$ and $v_s(t)$. 2. What is the condition on the band pass filter to get an AM DBAP signal as output? Then give the expression for $s(t)$. 3. Determine the modulation index $\mathrm{k}$ of the $\mathrm{AM}$ signal if $\mathrm{A}=1,\mathrm{a}=2$ and $\mathrm{b}=0.2$. Give the temporal and spectral representation of $s(t)$.