Pulses on the wire & what the radar makes of them

transmitted pulse (width c·τ) echo returning Ru — the fold line drop-line: truth → blip
Waveform (X-band, λ = 3 cm)
PRF10.0 kHz
Pulse width τ10.0 µs
Target A speed+50 m/s
Sim speed40 µs/s
Drag A, B or C along the wire. Positive speed is inbound (closing on the radar).

Pulse-to-pulse phase — the Doppler sampler

gold — the target's actual phase, spinning continuously navy — what the radar samples, once per echo
Δφ / pulse
+120°
true +120°
v true
+50
m/s
v measured
+50
m/s
measured correctly
±180° per pulse ↔ ±vu = λ·PRF/4
ΔR = cτ/2
1.5 km
range resolution
R_u = c/2·PRF
15.0 km
unamb. range
v_u = λ·PRF/4
75 m/s
unamb. velocity
1st blind speed
150 m/s
λ·PRF/2
Duty cycle
10.0%
τ · PRF