Assume that a message signal is given by m(t) = 4 cos(2f m t) + cos(4f m t) Calculate an expression for x c (t)

Assume that a message signal is given by

m(t) = 4 cos(2πf_mt) + cos(4πf_mt)

Calculate an expression for

x_c(t) = 1/2 A_cm(t) cos(2πf_mt) ± 1/2 A_cm̂ (t) sin (2πf_ct)

for A_c = 10. Show, by sketching the spectra, that the result is upper-side band or lower-side band SSB depending upon the choice of the algebraic sign.