(i) Define the discrete spectrogram of a signal x[n] and comment on the trade-offs that need to be taken into account in
Posted: Tue Apr 26, 2022 2:59 pm
(i) Define the discrete spectrogram of a signal x[n] and comment on the trade-offs that need to be taken into account in using a spectrogram. (ii) A surveillance radar transmits a rectangular pulse of the duration of 10*10^-6 seconds and does not perform matched filtering on the received signal. What is its range resolution? After an upgrade the system become able to transmit linear frequency modulated signals (chirps) of the duration of 10*10^-6 seconds and a bandwidth of 100 MHz. Moreover, the radar is now able to perform matched filtering on the received signal. What is the range resolution achievable after the upgrade? (iii) A UAV is approaching a dam on which a metallic reflector is installed. Due to the water motion, the dam vibrates at 3 Hz with a displacement of the reflector of 0.08 m in each direction. Sketch the micro-Doppler that the UAV will measure if it stops in front of the metallic reflector and observes it with a 5 GHz radar. (iv) What happens to the micro-Doppler if the UAV is not stationary but flies toward the dam at the speed of 4 m/s? (v) Describe how the cepstrogram can be used in question Q5(iii) above. You are requested to define the cepstrogram in your answer