Question

(d) A high-performance aircraft is transmitting an unmodulated carrier signal to a ground terminal. The ground terminal is initially in phase lock with the signal. The aircraft performs a maneuver whose dynamics are described by the equation for acceleration, a(t)At, where A is a constant. Assuming that the linearised equations apply, determine the minimum order of the phase-locked loop required to track the signal from this aircraft (Hint: Relative motion between the aircraft's transmitter and the ground terminal receiver will cause a Doppler shift in the received transmitter frequency of oV(t) Δωρ (t) where Awpthe Doppler shift =nominal carrier frequency wo V(t)relative velocity between the transmitter and receiver speed of light [13 marks]

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Answer 1

Ans- iven At2 al4) where A COR0ns cuhere Awp 20Pples shist wo nominul corssles feend VC clative Vulocity Cspeed ol lgt alt) At wo Vit) t10103 4ploce Lrde woL Cuo Vig 11 S C

Phose ath=At dva At7 plare toorfom botn snl SVI SVES =2A S3 12 2 4 Vs= 2 A Sc 2 Awo C ς5

ewhere - phan The mmjmum osder PL.L +0 5