A sinusoidal signal of the form X (t) = bcos (2πft + θ), is transmitted from a fixed platform. The signal is received by an antenna which is on a mobile platform that is in motion relative to the transmitter, with a velocity of relative to the direction of signal propagation between the transmitter and receiver. Therefore, the received signal experiences a Doppler shift and (ignoring noise in the receiver) is of the form,
Where is the speed of light. Find the PSD of the received signal if is uniformly distributed over (–vo, vo). Qualitatively, what does the Doppler effect do to the PSD of the sinusoidal signal?
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