Question #172572

Consider a continuous wave (single tone)

transmitted waveform of carrier frequency . The signal impinges on a target, moving

with radial velocity , and returns to the radar. The resulting signal, after down-

conversion from an IQ quadrature receiver, is given by

In the above expression, is the strength of the returned signal, is the positive

Doppler shift due to the target’s radial motion and t is the slow time. The signal over

a duration of T is digitized with a sampling frequency . Process the signal using

Fourier transform to obtain the correct estimate of the target velocity. Use the

values in the table below.

S. No. Parameters Values

1 Carrier frequency ( 5 GHz

2 Sampling frequency (.) 500 Hz

3 Dwell time (T) 1 second

4 Target return strength () 1 Volt

5 Radial velocity (,) 3 m/s

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