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?

Transcribed Image Text:

Ye) = bcos(2.(1+)r+ 0).