Consider the following message signals: m1(t) = 4t+5, t0 10, otherwise 2t2 +5t, t 0 m2(t) = 10, otherwise Assume that m(t) is applied to a frequency modulator, and m2(t) is applied to a phase modulator having a phase sensitivity factor of k = rad/V. 2 (a) (6 points) What should be the frequency sensitivity factor, kf of the frequency modulator so that the output signals of both modulators are exactly equal? (b) (2 points) Determine the frequency deviation for the above PM and FM signals. Is is it the same for both? Why? (c) (2 points) If a single-tone message signal defined as m3(t) = 5 cos(20t) == is applied to the frequency modulator having the frequency sensitivity factor determined in the previous part, will the resulting FM signal be narrowband or wideband? Justify your answer. What is the transmission bandwidth of the resulting FM signal?