This problem has three independent parts.
(a) Construct a linear chirp xa (t) such that the frequency decreases from 4000 Hz to 300 Hz in 5 seconds. Provide an equation for xa (t) .
(b) Determine the instantaneous frequency (in Hz) of the following signal: xb(t) = cos(-2pi 600t³ + 2pi 600t² + 2pi 600t) 0 <= t <= 1 Provide a plot or sketch of the instantaneous frequency and answer the following questions. At what time t is the instantaneous frequency the largest? How large is the largest frequency?
(c) Find the instantaneous frequency (in Hz) of the following signal xc(t) = 4 cos(100 sin(2pi 4t) + 2pi 600t) Provide a plot or sketch of the instantaneous frequency and answer the following questions. How large is the largest frequency? How small is the smallest frequency?
