Page 248 - Fundamentals of Radar Signal Processing

(4.54)

where x (t) = single pulse of length τ
p
M = number of pulses in the burst
T = pulse repetition interval

While the constituent pulse x (t) can be any single-pulse waveform, for the
p
moment only the simple pulse will be considered. Figure 4.12 illustrates this
waveform. The solid line forming the envelope of the sinusoidal pulses is the

actual baseband waveform x(t). The train of RF pulses that results when it is
impressed upon a carrier is denoted as usual as . The total duration MT
(which includes the dead time after the last pulse) is the coherent processing
interval (CPI).

FIGURE 4.12 Pulse burst waveform and the resulting train of RF pulses.

4.5.1 Matched Filter for the Pulse Burst Waveform
The matched filter for the pulse burst is (with α = 1 and T = 0)
M

(4.55)

and the matched filter output, given an echo from a range corresponding to a
time delay t , is therefore
0

(4.56)

The inner integral is the matched filter output for the constituent simple pulse.