Consider the two signals c (t) = 4 cos(50000t) and c (t) = 4 sin(50000t). The real and the imaginary parts of the spectrum of two signals, m(t) and m(t), are shown in the following figure. M(f) MD Re Im -5000 M(f) -5000 10 0 5000 f-> 5000 f-> -5000 M(f) -5000 5000 f-> 5000 1) Draw the real and the imaginary parts of the spectrum of z(t) = m(t)c(t) + m(t)c(t). 2) Draw the real and the imaginary parts of the spectrum of w(t) = m(t)c(t) m(t)c(t). 3) If z(t) is multiplied by c(t), then integrated (or equivalently, passed through a LPF), what will be the output signal? 4) If w(t) is multiplied by c(t), then integrated (or equivalently, passed through a LPF), what will be the output signal?